Publications of Raimar Wulkenhaar

Research articles

  1. Real symmetric \Phi^4-matrix model as Calogero-Moser model
    by Harald Grosse, Naoyuki Kanomata, Akifumi Sako and Raimar Wulkenhaar,
    published in Lett. Math. Phys. 114 (2024) 25,
    arXiv: 2311.10974 [hep-th].

  2. A note on BKP for the Kontsevich matrix model with arbitrary potential
    by Gaëtan Borot and Raimar Wulkenhaar,
    published in SIGMA 20 (2024) 050,
    arXiv: 2306.01501 [math-ph].

  3. Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra
    by Fridolin Melong and Raimar Wulkenhaar,
    published in J. Math. Phys. 64 (2023) 073505,
    arXiv: 2303.08073 [math-ph].

  4. From scalar fields on quantum spaces to blobbed topological recursion
    by Johannes Branahl, Harald Grosse, Alexander Hock and Raimar Wulkenhaar,
    published in J. Phys. A: Math. Theor. 55 (2022) 423001,
    arXiv: 2110.11789 [hep-th].

  5. Blobbed topological recursion of the quartic Kontsevich model II: Genus=0
    by Alexander Hock and Raimar Wulkenhaar, with an appendix by Maciej Dołęga,
    published in Ann. Inst. H. Poincaré D Comb Phys. Interact. (online first),
    arXiv: 2103.13271 [math-ph].

  6. Perturbative and geometric analysis of the quartic Kontsevich model
    by Johannes Branahl, Alexander Hock and Raimar Wulkenhaar,
    published in SIGMA 17 (2021) 085,
    arXiv: 2012.02622 [math-ph].

  7. Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures
    by Johannes Branahl, Alexander Hock and Raimar Wulkenhaar,
    published in Commun. Math. Phys. 393 (2022) 1529-1582,
    arXiv: 2008.12201 [math-ph].

  8. An algebraic approach to a quartic analogue of the Kontsevich model
    by Jörg Schürmann and Raimar Wulkenhaar,
    published in Math. Proc. Cambridge Phil. Soc. 174 (2023) 471-495,
    arXiv:     1912.03979 [math-ph].

  9. Solution of the self-dual \Phi^4 QFT-model on four-dimensional Moyal space
    by Harald Grosse, Alexander Hock and Raimar Wulkenhaar,
    published in JHEP 01 (2020) 081,
    arXiv: 1908.04543 [math-ph].

  10. Nested Catalan tables and a recurrence relation in noncommutative quantum field theory
    by Jins de Jong, Alexander Hock and Raimar Wulkenhaar,
    published in Ann. Inst. H. Poincaré D Comb. Phys. Interact. 9 (2022) 47-72,
    arXiv: 1904.11231 [math-ph].

  11. A Laplacian to compute intersection numbers on M_{g,n} and correlation functions in NCQFT
    by Harald Grosse, Alexander Hock and Raimar Wulkenhaar,
    published in Commun. Math. Phys. 399 (2023) 481-517,
    arXiv: 1903.12526 [math-ph].

  12. The Leutwyler-Smilga relation on the lattice
    by Gernot Münster and Raimar Wulkenhaar,
    published in Modern Physics Letters A 35 (2020) 1950346
    arXiv: 1811.01668 [hep-lat].

  13. On the large N limit of the Schwinger-Dyson equation of rank-3 tensor field theory
    by Romain Pascalie, Carlos I. Pérez-Sánchez, Adrian Tanasa and Raimar Wulkenhaar,
    published in J. Math. Phys. 60 (2019) 073502,
    arXiv: 1810.09867 [math-ph].

  14. Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling
    by Jins de Jong and Raimar Wulkenhaar,
    published in J. Math. Phys. 60 (2019) 083504,
    arXiv: 1809.09453 [math-ph].

  15. Lambert-W solves the noncommutative \Phi^4-model
    by Erik Panzer and Raimar Wulkenhaar,
    published in Commun. Math. Phys. 374 (2020) 1935-1961
    arXiv: 1807.02945 [math-ph].

  16. Noncommutative 3-colour scalar quantum field theory model in 2D
    by Alexander Hock and Raimar Wulkenhaar,
    published in Eur. Phys. J. C 78 (2018) 580,
    arXiv: 1804.06075 [math-ph].

  17. Correlation functions of coloured tensor models and their Schwinger-Dyson equations
    by Romain Pascalie, Carlos I. Pérez Sánchez and Raimar Wulkenhaar
    published in Annales de l'Institut Henri Poincaré D (2021) online first,
    arxiv: 1706.07358 [math-ph].

  18. The \Phi^3_4 and \Phi^3_6 matricial QFT models have reflection positive two-point function
    by Harald Grosse, Akifumi Sako and Raimar Wulkenhaar,
    published in Nucl. Phys. B 926 (2018) 20-48,
    arXiv: 1612.07584 [math-ph].

  19. Exact solution of matricial \Phi^3_2 quantum field theory
    by Harald Grosse, Akifumi Sako and Raimar Wulkenhaar,
    published in Nucl. Phys. B 925 (2017) 319-347,
    arXiv: 1610.00526 [math-ph].

  20. The Moyal Sphere
    by Michał Eckstein, Andrzej Sitarz and Raimar Wulkenhaar
    published in J. Math. Phys. 57 (2016) 112301,
    arXiv: 1601.05576 [math.QA].

  21. On the fixed point equation of a solvable 4D QFT model
    by Harald Grosse and Raimar Wulkenhaar,
    published in Vietnam J. Math. 44 (2016) 153-180,
    arXiv: 1505.05161 [math-ph].

  22. Correlation functions of a just renormalizable tensorial group field theory: the melonic approximation
    by Dine Ousmane Samary, Carlos I. Pérez-Sánchez, Fabien Vignes-Tourneret and Raimar Wulkenhaar,
    published in Class. Quant. Grav. 32 (2015) 17, 175012
    arXiv: 1411.7213 [hep-th].

  23. Self-dual noncommutative \phi^4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in Commun. Math. Phys. 329 (2014) 1069-1130,
    arXiv: 1205.0465 [math-ph].

  24. A numerical approach to harmonic non-commutative spectral field theory
    by Bernardino Spisso and Raimar Wulkenhaar,
    published in Int. J. Mod. Phys. A 27 (2012) 1250075,
    arXiv: 1111.3050 [math-ph].

  25. Spectral geometry of the Moyal plane with harmonic propagation
    by Victor Gayral and Raimar Wulkenhaar,
    published in J. Noncommut. Geom. 7 (2013) 939-979,
    arXiv: 1108.2184 [math.OA].

  26. On the vacuum states for noncommutative gauge theory
    by Axel de Goursac, Jean-Christophe Wallet and Raimar Wulkenhaar,
    published in Eur. Phys. J. C 56 (2008) 293-304,
    arXiv: 0803.3035 [hep-th].

  27. 8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in J. Geom. Phys. 62 (2012) 1583-1599,
    arXiv: 0709.0095 [hep-th].

  28. Noncommutative induced gauge theory
    by Axel de Goursac, Jean-Christophe Wallet and Raimar Wulkenhaar,
    published in Eur. Phys. J. C 51 (2007) 977-987,
    arXiv: hep-th/0703075.

  29. Quantum field theory on projective modules
    by Victor Gayral, Jan-Hendrik Jureit, Thomas Krajewski and Raimar Wulkenhaar,
    published in J. Noncommut. Geom 1 (2007) 431-496,
    arXiv: hep-th/0612048.

  30. Renormalisation of noncommutative \phi^4-theory by multi-scale analysis
    by Vincent Rivasseau, Fabien Vignes-Tourneret and Raimar Wulkenhaar,
    published in Commun. Math. Phys. 262 (2006) 565-594,
    arXiv: hep-th/0501036.

  31. Field theories on deformed spaces
    by Raimar Wulkenhaar,
    published in J. Geom. Phys. 56 (2006) 108-141 (special issue `Noncommutative Geometry').

  32. Renormalisation of \phi^4-theory on noncommutative R^4 to all orders
    by Harald Grosse and Raimar Wulkenhaar,
    published in Lett. Math. Phys. 71 (2005) 13-26,
    arXiv: hep-th/0403232.

  33. The \beta-function in duality-covariant noncommutative \phi^4-theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in Eur. Phys. J. C 35 (2004) 277-282,
    arXiv: hep-th/0402093.

  34. Renormalisation of \phi^4-theory on noncommutative R^4 in the matrix base
    by Harald Grosse and Raimar Wulkenhaar,
    published in Commun. Math. Phys. 256 (2005) 305-374,
    arXiv: hep-th/0401128.

  35. Renormalisation of \phi^4-theory on noncommutative R^2 in the matrix base
    by Harald Grosse and Raimar Wulkenhaar,
    published in JHEP 12 (2003) 019,
    arXiv: hep-th/0307017.

  36. Power-counting theorem for non-local matrix models and renormalisation
    by Harald Grosse and Raimar Wulkenhaar,
    published in Commun. Math. Phys. 254 (2005) 91-127,
    arXiv: hep-th/0305066.

  37. Space/time noncommutative field theories and causality
    by Hidir Bozkaya, Peter Fischer, Harald Grosse, Mario Pitschmann, Volkmar Putz, Manfred Schweda and Raimar Wulkenhaar,
    published in Eur. Phys. J. C 29 (2003) 133-141,
    arXiv: hep-th/0209253.

  38. Quantisation of $\theta$-expanded non-commutative QED
    by Jesper Grimstrup and Raimar Wulkenhaar,
    published in Eur. Phys. J. C 26 (2002) 139-151,
    arXiv: hep-th/0205153.

  39. Seiberg-Witten map for noncommutative super Yang-Mills theory
    by Volkmar Putz and Raimar Wulkenhaar,
    published in Int. J. Mod. Phys. A 18 (2003) 3325-3334,
    arXiv: hep-th/0205094.

  40. Non-commutative U(1) super-Yang-Mills theory: Perturbative self-energy corrections
    by Andreas Bichl, Martin Ertl, Andreas Gerhold, Jesper Grimstrup, Harald Grosse, Lukas Popp, Volkmar Putz, Manfred Schweda and Raimar Wulkenhaar,
    published in Int. J. Mod. Phys. A 19 (2004) 4231-4249,
    arXiv: hep-th/0203141.

  41. IR-singularities in noncommutative perturbative dynamics?
    by Jesper Grimstrup, Harald Grosse, Lukas Popp, Volkmar Putz, Manfred Schweda, Marlene Wickenhauser and Raimar Wulkenhaar,
    published in Europhys. Lett. 67 (2004) 186-190,
    arXiv: hep-th/0202093.

  42. Non-renormalizability of $\theta$-expanded noncommutative QED
    by Raimar Wulkenhaar,
    published in JHEP 03 (2002) 024,
    arXiv: hep-th/0112248.

  43. Noncommutative spin-1/2 representations
    by Jesper Grimstrup, Harald Grosse, Elisabeth Kraus, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar,
    published in Eur. Phys. J. C 24 (2002) 491-494,
    arXiv: hep-th/0110231.

  44. Noncommutative Lorentz symmetry and the origin of the Seiberg-Witten map
    by Andreas Bichl,Jesper Grimstrup, Harald Grosse, Elisabeth Kraus, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar,
    published in Eur. Phys. J. C 24 (2002) 165-176,
    arXiv: hep-th/0108045.

  45. Discrete Kaluza-Klein from scalar fluctuations in noncommutative geometry
    by Pierre Martinetti and Raimar Wulkenhaar,
    published in J. Math. Phys. 43 (2002) 182-204,
    arXiv: hep-th/0104108.

  46. Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map
    by Andreas Bichl, Jesper Grimstrup, Harald Grosse, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar,
    published in JHEP 06 (2001) 013,
    arXiv: hep-th/0104097.

  47. Perturbative analysis of the Seiberg-Witten map
    by Andreas Bichl, Jesper Grimstrup, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar,
    published in Int. J. Mod. Phys. A 17 (2002) 2219-2232,
    arXiv: hep-th/0102044.

  48. The superfield formalism applied to the noncommutative Wess-Zumino model
    by Andreas Bichl, Jesper Grimstrup, Harald Grosse, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar,
    published in JHEP 10 (2000) 046,
    arXiv: hep-th/0007050.

  49. Perturbative quantum gauge fields on the noncommutative torus
    by Thomas Krajewski and Raimar Wulkenhaar,
    published in Int. J. Mod. Phys. A 15 (2000) 1011-1029,
    arXiv: hep-th/9903187.

  50. On Kreimer's Hopf algebra structure of Feynman graphs
    by Thomas Krajewski and Raimar Wulkenhaar,
    published in Eur. Phys. J. C 7 (1999) 697-708,
    arXiv: hep-th/9805098.

  51. SO(10)-unification in noncommutative geometry revisited
    by Raimar Wulkenhaar,
    published in Int. J. Mod. Phys. A 14 (1999) 559-588,
    arXiv: hep-th/9804046.

  52. Gauge theories with graded differential Lie algebras
    by Raimar Wulkenhaar,
    published in J. Math. Phys. 40 (1999) 787-794,
    arXiv: hep-th/9708071.

  53. Graded differential Lie algebras and SU(5)xU(1)-grand unification
    by Raimar Wulkenhaar,
    published in Int. J. Mod. Phys. A 13 (1998) 2627-2692,
    arXiv: hep-th/9607237 (title: Grand unification in non-associative geometry).

  54. The standard model within non-associative geometry
    by Raimar Wulkenhaar,
    published in Phys. Lett. B 390 (1997) 119-127,
    arXiv: hep-th/9607096.

  55. Noncommutative geometry with graded differential Lie algebras
    by Raimar Wulkenhaar,
    published in J. Math. Phys. 38 (1997) 3358-3390,
    arXiv: hep-th/9607094 (title: The mathematical footing of non-associative geometry).

  56. Graded differential Lie algebras and model building
    by Raimar Wulkenhaar,
    published in J. Geom. Phys. 25 (1998) 305-325,
    arXiv: hep-th/9607086 (title: A tour through non-associative geometry).

  57. Deriving the standard model from the simplest two-point K-cycle
    by Raimar Wulkenhaar,
    published in J. Math. Phys. 37 (1996) 3797-3814.

  58. On a certain construction of graded Lie algebras with derivation
    by Rainer Matthes, Gerd Rudolph and Raimar Wulkenhaar,
    published in J. Geom. Phys. 20 (1996) 107-141.

  59. On the structure of a differential algebra used by Connes and Lott
    by Rainer Matthes, Gerd Rudolph and Raimar Wulkenhaar,
    published in Rep. Math. Phys. 38 (1996) 45-66.

Book chapters

  1. Quantum field theory on noncommutative spaces
    by Raimar Wulkenhaar,
    published in Advances in Noncommutative Geometry, eds. A. Chamseddine, C. Consani, N. Higson, M. Khalkhali, H. Moscovici and G. Yu,
    Springer International Publishing (2019) 607-690.
    Survey on the occasion of Alain Connes' 70th birthday.

  2. A solvable four-dimensional QFT
    by Harald Grosse and Raimar Wulkenhaar,
    published in Quantum Mathematical Physics, eds. F. Finster, J. Kleiner, C. Röken and J. Tolksdorf,
    Springer International Publishing (2016) 153-180.
    prepared for conference `Quantum Mathematical Physics - A Bridge between Mathematics and Physics', Regensburg (Germany) October 2014

  3. Towards a construction of a quantum field theory in four dimensions
    by Harald Grosse and Raimar Wulkenhaar,
    published in Mathematical Structures of the Universe, eds. M. Eckstein, M. Heller and S. Szybka, Copernicus Center Press (2014) 227-258.
    invited contribution

  4. Non-compact spectral triples with finite volume
    by Raimar Wulkenhaar,
    published in Quanta of Maths, eds. E. Blanchard, D. Ellwood, M. Khalkhali, M. Marcolli, H. Moscovici and S. Popa,
    Clay Math. Proc. 11 (2010) 617-648, Amer. Math. Soc., Providence, RI,
    (invited contribution)
    arXiv: 0907.1351 [hep-th].

  5. Renormalization of noncommutative quantum field theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in An invitation to noncommutative geometry, eds. M Khalkhali and M. Marcolli, World Scientific (2008) 129-168.
    lecture course by H. Grosse at International Workshop on Noncommutative Geoemtry, Tehran (Iran), September 2005

  6. Euclidean quantum field theory on commutative and noncommutative spaces
    by Raimar Wulkenhaar,
    published in Geometric and Topological Methods for Quantum Field Theory, eds. H. Ocampo, S. Paycha and A. Vargas, Lect. Notes Phys. 668, Springer-Verlag (2005) 59-100,
    lecture course at summer school Geometric and Topological Methods for Quantum Field Theory, Villa de Leyva (Colombia), July 2003

  7. Introduction to Hopf algebras in renormalization and noncommutative geometry
    by Raimar Wulkenhaar,
    published in Noncommutative Geometry and the Standard Model of Elementary Particle Physics, eds. F. Scheck, H. Upmeier and W. Werner, Lect. Notes Phys. 596, Springer-Verlag (2002) 313-324,
    prepared for workshop `The Standard Model of Elementary Particle Physics from a Mathematical-Geometrical Viewpoint', Hesselberg (Germany), March 1999
    arXiv: hep-th/9912221.

Proceedings

  1. Relationship between \Phi^4-matrix model and N-body harmonic oscillator or Calogero-Moser model
    by Harald Grosse, Naoyuki Kanomata, Akifumi Sako and Raimar Wulkenhaar,
    published in J. Phys. Conf. Ser 2912 (2024) 012014
    presented by Aifumi Sako at The XXVIII International Conference on Integrable Systems and Quantum Symmetries (ISQS28), Prague (Czechia), July 2024

  2. How Prof. Zeidler supported our research on exact solution of quantum field theory toy models
    by Harald Grosse and Raimar Wulkenhaar,
    published in Vietnam J. Math 47 (2019) 93-112
    invited contribution

  3. Integrability and positivity in quantum field theory on noncommutative geometry
    by Harald Grosse and Raimar Wulkenhaar,
    published in J. Geom. Phys. 134 (2018) 249-262
    presented at Noncommutative Geometry: Index theory and its ramifications in geometry, topology and physics, Shanghai (China), March 2017

  4. Construction of a quantum field theory in four dimensions
    by Harald Grosse and Raimar Wulkenhaar,
    published in PoS FFP14 (2016) 151.
    presented at Frontiers of Fundamental Physics 14, Marseille (France), July 2014

  5. Noncommutative quantum field theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in Fortsch. Phys. 62 (2014) 797-811.
    presented by H. Grosse at Workshop on noncommutative field theory and gravity, Corfu (Greece), September 2013

  6. Construction of the \Phi^4_4-quantum field theory on noncommutative Moyal space
    by Harald Grosse and Raimar Wulkenhaar,
    published in RIMS Kôkyûroku 1904 (2014) 67-104,
    arXiv: 1402.1041 [math-ph].
    presented by R. Wulkenhaar at RIMS workshop Applications of renormalization group methods in mathematical sciences, Kyoto (Japan), September 2013

  7. Construction of a Noncommutative Quantum Field Theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday, eds. H. Holden, B. Simon and G. Teschl, Proceedings of Symposia in Pure Mathematics 87 (2013) 153-163
    invited contribution

  8. Renormalization of a noncommutative field theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in Int. J. Mod. Phys. Conf. Ser. 13 (2012) 108-117,
    presented by H. Grosse at Workshop on Scientific and Human Legacy of Julius Wess, Donji Milanovac (Serbia), August 2011

  9. Renormalization of a noncommutative field theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in Int. J. Mod. Phys. A 27 (2012) 1250067,
    presented by H. Grosse at Workshop on Scientific and Human Legacy of Julius Wess, Donji Milanovac (Serbia), August 2011

  10. Renormalizable noncommutative quantum field theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in J. Phys. Conf. Ser 343 (2012) 012043,
    presented by H. Grosse at 7th International Conference on Quantum Theory and Symmetries (QTS7), Prague (Czech Republic), August 2011

  11. Renormalisation of the Grosse-Wulkenhaar model
    by Harald Grosse and Raimar Wulkenhaar,
    published in PoS QGQGS2011 (2011) 011,
    presented by H. Grosse at 3rd Quantum Geometry and Quantum Gravity School, Zakopane (Poland), March 2011

  12. Renormalizable noncommutative quantum field theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in Gen. Relativ. Gravit 43 (2011) 2491-2498,
    presented by H. Grosse at 2nd School and Workshop on Quantum Gravity and Quantum Geometry, Corfu (Greece), September 2009

  13. Noncommutative QFT and renormalization
    by Harald Grosse and Raimar Wulkenhaar,
    published in Quantum Gravity -- Mathematical Models and Experimental Bounds, eds. B. Fauser, J. Tolksdorf and E. Zeidler, Birkhäuser-Verlag (2007) 315-326.
    presented by H. Grosse at workshop Mathematical and Physical Aspects of Quantum Field Theories, Blaubeuren (Germany), July 2005

  14. Noncommutative QFT and renormalization
    by Harald Grosse and Raimar Wulkenhaar,
    published in Bulg. J. Phys. 33 (2006) 215-225 ,
    presented by H. Grosse at 6th International Workshop `Lie Theory and Its Applications in Physics', Varna (Bulgaria), August 2005.

  15. Noncommutative QFT and renormalization
    by Harald Grosse and Raimar Wulkenhaar,
    published in Fortschr. Phys. 54 (2006) 116-123,
    presented by H. Grosse at Symposium in Honor of Julius Wess on the Occasion of his 70th Birthday, Munich (Germany), January 2005

  16. Renormalisation of scalar quantum field theory on noncommutative R^4
    by Harald Grosse and Raimar Wulkenhaar,
    published in Fortschr. Phys. 53 (2005) 634-639,
    presented at 37th International Symposium Ahrenshoop on the Theory of Elementary Particles, Berlin (Germany), August 2004

  17. Renormalisation of noncommutative quantum field theories
    by Harald Grosse and Raimar Wulkenhaar,
    published in Czech J. Phys. 54 (2004) 1305-1311,
    presented by H. Grosse at 13th International Colloquium on Integrable Systems and Quantum Groups (SQS 13), Prague (Czech Republic), June 2004

  18. Renormalisation group approach to noncommutative quantum field theory
    by Harald Grosse and Raimar Wulkenhaar,
    published in Particle Physics and the Universe, eds. J. Trampetic and J. Wess, Springer Proc. Phys. 98, Springer-Verlag (2004) 197-208,
    presented by H. Grosse at 9th Adriatic Meeting, Dubrovnik (Croatia), September 2003.

  19. Renormalisation of noncommutative scalar field theories
    by Harald Grosse and Raimar Wulkenhaar,
    published in Lie Theory and Its Applications in Physics V, eds. H.-D. Doebner and V. K. Dobrev, World Scientific (2004) 109-123,
    presented by H. Grosse at 5th International Workshop `Lie Theory and Its Applications in Physics', Varna (Bulgaria), June 2003.

  20. Regularisation and renormalisation of quantum field theories on noncommutative spaces
    by Harald Grosse and Raimar Wulkenhaar,
    published in J. Nonlin. Math. Phys. 11 (suppl.) (2004) 9-20,
    presented by H. Grosse at XXI Workshop on Geometric Methods in Physics, Bialowieza (Poland), July 2002.

  21. Regularisation and renormalisation of quantum field theories on noncommutative spaces
    by Harald Grosse and Raimar Wulkenhaar,
    published in Modern Mathematical Physics, eds. B. Dragovich and B. Sazdovic, Belgrade Institute of Physics (2003) 29-46,
    presented by H. Grosse at 2nd Summer School, Kopaonik (Yugoslavia), September 2002.

  22. The energy-momentum tensor on noncommutative spaces - some pedagogical comments
    by Andreas Gerhold, Jesper Grimstrup, Harald Grosse, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar,
    published in Ukr. J. Phys. 47 (2002) 219-225,
    presented by L. Popp at XIII International Hutsulian Workshop ``Methods of Theoretical and Mathematical Physics'', Uzhgorod, Kyiv,Ivano-Frankivsk, Rakhiv (Ukraine), September 2000,
    arXiv: hep-th/0012112.

  23. Slavnov-Taylor identity in noncommutative geometry
    by Raimar Wulkenhaar,
    published in Int. J. Mod. Phys. B 14 (2000) 2503-2509,
    presented at Euroconference on Noncommuntative Geometry and Hopf Algebras in Field Theory and Particle Physics, Torino (Italy), September 1999

  24. On Feynman graphs as elements of a Hopf algebra
    by Raimar Wulkenhaar,
    published in Quantum Groups, Noncommuntative Geometry and Fundamental Physical Interactions, eds D. Kastler, M. Rosso and T. Schücker, Nova Science Publishers (1999) 233-242.
    (invited contribution)
    arXiv: hep-th/9912220.

  25. Gauge field theories in terms of graded differential Lie algebras
    by Raimar Wulkenhaar,
    published in Lie Theory and its Applications in Physics II, eds. H.-D. Doebner, V.K. Dobrev and J. Hilgert, World Scientific (1998) 310-321,
    presented at II International Workshop on Lie Theory and its Applications in Physics, Clausthal (Germany), August 1997

  26. Yang-Mills-Higgs models arising from L-cycles
    by Raimar Wulkenhaar,
    published in GROUP 21, eds. H.-D. Doebner, P. Nattermann, W. Scherer and C. Schulte, World Scientific (1997) 597-601,
    presented at XXI International Colloquium on Group Theoretical Methods in Physics, Goslar (Germany), July 1996.

  27. On certain graded Lie algebras arising in noncommutative geometry
    by Rainer Matthes, Gerd Rudolph and Raimar Wulkenhaar,
    published in Acta Physica Polonica 27 (1996) 2755-2762,
    presented by R. Matthes at II German-Polish Symposium on New Ideas in the Theory of Fundamental Interactions, Zakopane (Poland), September 1995.

  28. Graded Lie algebras with derivation and model building
    by Rainer Matthes, Gerd Rudolph and Raimar Wulkenhaar,
    published in Lie Theory and its Applications in Physics, eds. H.-D. Doebner, V.K. Dobrev and J. Hilgert, World Scientific (1996) 149-158,
    presented by G. Rudolph at International Workshop ``Lie Theory and its Applications in Physics'', Clausthal (Germany), August 1995.

Extended abstracts

  1. Lambert-W solves the noncommutative \Phi^4-model
    by Raimar Wulkenhaar (joint work with Erik Panzer),
    published in Oberwolfach Reports 15 (2018) 1938-1941,
    presented at Oberwolfach workshop Non-commutative Geometry, Index Theory and Mathematical Physics, Oberwolfach (Germany), July 2018

  2. Reflection positivity in large-deformation limits of noncommutative field theories
    by Raimar Wulkenhaar (joint work with Harald Grosse and Akifumi Sako),
    published in Oberwolfach Reports 14 (2017) 3335-3338,
    presented at Oberwolfach workshop Reflection Positivity, Oberwolfach (Germany), November 2017

  3. Integrability in a 4D QFT model
    by Raimar Wulkenhaar (joint work with Harald Grosse),
    published in Oberwolfach Reports 13 (2016) 2106-2108,
    presented at Oberwolfach workshop Recent Mathematical Developments in Quantum Field Theory, Oberwolfach (Germany), July 2016

  4. Quantum field theory on noncommutative geometries
    by Raimar Wulkenhaar (joint work with Harald Grosse),
    published in Oberwolfach Reports 7 (2010) 408-411,
    presented at Oberwolfach workshop Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples, Oberwolfach (Germany), February 2010

  5. Progress in solving a noncommutative QFT in four dimensions
    by Raimar Wulkenhaar (joint work with Harald Grosse),
    published in Oberwolfach Reports 6 (2009) 2318-2321,
    presented at Oberwolfach workshop Noncommutative Geometry, Oberwolfach (Germany), September 2009

  6. The harmonic oscillator, its noncommutative dimension and the vacuum of noncommutative gauge theory
    by Raimar Wulkenhaar (joint work with Harald Grosse),
    published in Oberwolfach Reports 4 (2007) 2601-2603,
    presented at Oberwolfach workshop Noncommutative Geometry, Oberwolfach (Germany), September 2007

  7. Renormalisation scalar quantum field theory on 4D-Moyal plane
    by Raimar Wulkenhaar (joint work with Harald Grosse; Vincent Rivasseau, Fabien Vignes-Tourneret),
    published in Oberwolfach Reports 3 (2006) 1037-1040,
    presented at Oberwolfach workshop The Rigorous Renormalization Group, Oberwolfach (Germany), April 2006

  8. Renormalisation of noncommutative \phi^4-theory to all orders
    by Raimar Wulkenhaar (joint work with Harald Grosse),
    published in Oberwolfach Reports 1 (2004) 2411-2413,
    presented at Oberwolfach workshop Nichtkommutative Geometrie, Oberwolfach (Germany), September 2004

Preprints

  1. Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions
    by Alexander Hock and Raimar Wulkenhaar,
    arXiv: 2501.00082 [math.CV].

  2. Blobbed topological recursion from extended loop equations
    by Alexander Hock and Raimar Wulkenhaar,
    arXiv: 2301.04068 [math-ph].

  3. Intersection theory of the complex quartic Kontsevich model
    by Finn Bjarne Kohl and Raimar Wulkenhaar,
    arXiv: 2212.01359 [math-ph].

  4. Solution of all quartic matrix models
    by Harald Grosse, Alexander Hock and Raimar Wulkenhaar,
    arXiv: 1906.04600 [math-ph].

  5. The asymptotic volume of diagonal subpolytopes of symmetric stochastic matrices
    by Jins de Jong and Raimar Wulkenhaar,
    arXiv: 1701.07719 [math.CO].

  6. Solvable 4D noncommutative QFT: phase transitions and quest for reflection positivity
    by Harald Grosse and Raimar Wulkenhaar,
    arXiv: 1406.7755 [hep-th].

  7. Solvable limits of a 4D noncommutative QFT
    by Harald Grosse and Raimar Wulkenhaar,
    arXiv: 1306.2816 [math-ph].

  8. Progress in solving a noncommutative quantum field theory in four dimensions
    by Harald Grosse and Raimar Wulkenhaar,
    arXiv: 0909.1389 [hep-th].

Other papers

  1. Quantum field theories on noncommutative $\mathbb{R}^4$ versus $\theta$-expanded quantum field theories
    by Raimar Wulkenhaar,
    published in Lecture Notes of workshop Theory of renormalization and regularization, Hesselberg, February 2002,
    arXiv: hep-th/0206018.

  2. Deformed QED via Seiberg-Witten map
    by Andreas Bichl, Jesper Grimstrup, Lukas Popp, Manfred Schweda and Raimar Wulkenhaar,
    arXiv: hep-th/0102103.

  3. Renormalization of noncommutative Yang-Mills theories: A simple example
    by Harald Grosse, Thomas Krajewski and Raimar Wulkenhaar,
    arXiv: hep-th/0001182.

  4. On the Connes-Moscovici Hopf algebra associated to the diffeomorphisms of a manifold
    by Raimar Wulkenhaar,
    arXiv: math-ph/9904009.

  5. Gyros as geometry of the standard model
    by Raimar Wulkenhaar,
    arXiv: hep-th/9712183.



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