• 2025
• 2024
• 2023
• 2022
• 2021
• 2020
• 2019
• 2018
• 2017
• 2016
• 2015
• 2014
• 2013
• 2012
• 2011
• 2010
• 2009
• 2008
• 2007
• 2006
• 2005
• 2004
• 2003
• 2002
• 2001
• 2000
• 1999
• 1998
• 1997
• 1996

2025

• Wulkenhaar R. Linear relations supplementing BKP for the Kontsevich matrix model with even potential [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.2508.04245.
• Grosse H, Kanomata N, Sako A, Wulkenhaar R. Relationship between a Φ^4 matrix model and harmonic oscillator systems [Internet]. arxiv [Preprint]. doi: 10.48550/arXiv.2507.09454.
• Melong F, Wulkenhaar R. Generalized super-W_{1+∞}-n-algebra and Landau Problem [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.2504.13319.
• Melong F, Wulkenhaar R. Characterization of the W_{1+∞}-n-algebra and applications [Internet]. arxiv [Preprint]. doi: 10.48550/arXiv.2504.12994.
• Hock A, Wulkenhaar R. Blobbed topological recursion from extended loop equations. J. Geom. Phys.. 2025;212: Artikel 105457. doi: 10.1016/j.geomphys.2025.105457.
• Hock A, Shadrin S, Wulkenhaar R. Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.2501.00082.
• Song C, Weber H, Wulkenhaar R. Stochastic quantization of λϕ^4_2-theory in 2-d Moyal space [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.2502.02355.
• Hock A, Wulkenhaar R, Dołega M(. Blobbed topological recursion of the quartic Kontsevich model II: Genus=0. AIHPD. 2025;12: 545–619. doi: 10.4171/AIHPD/198.

2024

• Borot G, Wulkenhaar R. A note on BKP for the Kontsevich matrix model with arbitrary potential. SIGMA. 2024;20: Artikel 050. doi: 10.3842/SIGMA.2024.050.
• Grosse H, Kanomata N, Sako A, Wulkenhaar R. Real symmetric Φ^4-matrix model as Calogero-Moser model [Internet]. arXiv [Preprint]. Letters in Mathematical Physics. 2024;114: Artikel 25. doi: 10.1007/s11005-024-01772-5.
• Grosse H, Kanomata N, Sako A, Wulkenhaar R. Relationship between Φ^4-matrix model and N-body harmonic oscillator or Calogero-Moser model In: Konferenzband der The XXVIII International Conference on Integrable Systems and Quantum Symmetries (ISQS28), Prague. doi: 10.1088/1742-6596/2912/1/012014.

2023

• Melong F, Wulkenhaar R. Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra. J. Math. Phys.. 2023;64(7): Artikel 073505. doi: 10.1063/5.0150975.
• Grosse H, Hock A, Wulkenhaar R. A Laplacian to compute intersection numbers on M_{g,n} and correlation functions in NCQFT. Commun. Math. Phys.. 2023;399: 481–517. doi: 10.1007/s00220-022-04557-w.
• Schürmann J, Wulkenhaar R. An algebraic approach to a quartic analogue of the Kontsevich model. Math. Proc. Cambridge Philos. Soc.. 2023;174(3): 471–495. doi: 10.1017/S0305004122000366.

2022

• Branahl J, Grosse H, Hock A, Wulkenhaar R. From scalar fields on quantum spaces to blobbed topological recursion. J. Phys. A. 2022;55(42): Artikel 423001. doi: 10.1088/1751-8121/ac9260.
• Branahl J, Hock A, Wulkenhaar R. Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures. Commun. Math. Phys.. 2022;393: 1529–1582. doi: 10.1007/s00220-022-04392-z.
• de Jong J, Hock A, Wulkenhaar R. Nested Catalan tables and a recurrence relation in noncommutative quantum field theory. AIHPD. 2022;9(1): 47–72. doi: 10.4171/AIHPD/113.
• Kohl FB, Wulkenhaar R. Intersection theory of the complex quartic Kontsevich model [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.2212.01359.

2021

• Pascalie R, Pérez-Sánchez CI, Wulkenhaar R. Correlation functions of U(N)-tensor models and their Schwinger-Dyson equations. AIHPD. 2021;8(3): 377–458. doi: 10.4171/AIHPD/107.
• Branahl J, Hock A, Wulkenhaar R. Perturbative and geometric analysis of the quartic Kontsevich model. SIGMA. 2021;17: 085. doi: 10.3842/SIGMA.2021.085.

2020

• Grosse H, Hock A, Wulkenhaar R. Solution of the self-dual \Phi^4 QFT-model on four-dimensional Moyal space. J. High Energ. Phys.. 2020;01: 081. doi: 10.1007/JHEP01(2020)081.
• Münster G, Wulkenhaar R. The Leutwyler-Smilga relation on the lattice. Modern Physics Letters A. 2020;35(01): 1950346. doi: 10.1142/S0217732319503462.
• Panzer E, Wulkenhaar R. Lambert-W solves the noncommutative ϕ4-model. Commun. Math. Phys.. 2020;374: 1935–1961. doi: 10.1007/s00220-019-03592-4.

2019

• de Jong J, Wulkenhaar R. Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling. Journal of Mathematical Physics. 2019;60(8): Artikel 083504. doi: 10.1063/1.5063293.
• Pascalie R, Pérez-Sánchez CI, Tanasa A, Wulkenhaar R. On the large N limit of the Schwinger-Dyson equation of rank-3 tensor field theory. Journal of Mathematical Physics. 2019;60(7): Artikel 073502. doi: 10.1063/1.5080306.
• Grosse H, Hock A, Wulkenhaar R. Solution of all quartic matrix models [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.1906.04600.
• Wulkenhaar R. Quantum field theory on noncommutative spaces. In: Chamseddine A, Consani C, Higson N, Khalkhali M, Moscovici H, Yu G, Hrsg. Advances in Noncommutative Geometry. Cham: Springer International Publishing; 2019. S. 607–690. doi: 10.1007/978-3-030-29597-4_11.

2018

• Grosse H, Wulkenhaar R. Integrability and positivity in quantum field theory on noncommutative geometry. J. Geom. Phys.. 2018;134: 249–262. doi: 10.1016/j.geomphys.2018.08.001.
• Grosse H, Wulkenhaar R. How Prof. Zeidler supported our research on exact solution of quantum field theory toy models. Vietnam Journal of Mathematics. 2018;47: 93–112. doi: 10.1007/s10013-018-0302-2.
• Hock A, Wulkenhaar R. Noncommutative 3-colour scalar quantum field theory model in 2D. EPJC. 2018;78: Artikel 580. doi: 10.1140/epjc/s10052-018-6042-3.
• Wulkenhaar R. Lambert-W solves the noncommutative \Phi^4-model In: Konferenzband der Non-commutative Geometry, Index Theory and Mathematical Physics, Oberwolfach. S. 1938–1941. (Oberwolfach Reports; Bd. 15). doi: 10.4171/OWR/2018/32.
• Grosse H, Sako A, Wulkenhaar R. The \Phi^3_4 and \Phi^3_6 matricial QFT models have reflection positive two-point function. Nuclear Physics B. 2018;926: 20–48. doi: 10.1016/j.nuclphysb.2017.10.022.

2017

• Grosse H, Sako A, Wulkenhaar R. Exact solution of matricial \Phi^3_2 quantum field theory. Nuclear Physics B. 2017;925: 319–347. doi: 10.1016/j.nuclphysb.2017.10.010.
• de Jong J, Wulkenhaar R. The asymptotic volume of diagonal subpolytopes of symmetric stochastic matrices [Internet]. arXiv.org [Preprint]. doi: 10.48550/arXiv.1701.07719.
• Wulkenhaar R. Reflection positivity in large-deformation limits of noncommutative field theories In: Konferenzband der Reflection Positivity, Oberwolfach. S. 3335–3338. (Oberwolfach Reports; Bd. 14). doi: 10.4171/OWR/2017/55.

2016

• Wulkenhaar R. Integrability in a 4D QFT model In: Konferenzband der Recent Mathematical Developments in Quantum Field Theory, Oberwolfach. S. 2106–2108. (Oberwolfach Reports 13; Bd. 13). doi: 10.4171/OWR/2016/36.
• Grosse H, Wulkenhaar R. Construction of a quantum field theory in four dimensions. PoS - Proceedings of Science. 2016;224: Artikel 151. doi: 10.22323/1.224.0151.
• Grosse H, Wulkenhaar R. A solvable four-dimensional QFT. In: Finster F, Kleiner J, Röken C, Tolksdorf J, Hrsg. Quantum Mathematical Physics - A Bridge between Mathematics and Physics. Cham Heidelberg New York Dordrecht London: Springer International Publishing; 2016. S. 153–180. doi: 10.1007/978-3-319-26902-3_8.
• Eckstein M, Sitarz A, Wulkenhaar R. The Moyal sphere. Journal of Mathematical Physics. 2016;2016(57): Artikel 112301. doi: 10.1063/1.4965446.
• Grosse H, Wulkenhaar R. On the fixed point equation of a solvable 4D QFT model. Vietnam Journal of Mathematics. 2016;2016(44): 153–180. doi: 10.1007/s10013-015-0174-7.

2015

• Ousmane Samary D, Pérez-Sánchez CI, Vignes-Tourneret F, Wulkenhaar R. Correlation functions of a just renormalizable tensorial group field theory: the melonic approximation. Classical and Quantum Gravity. 2015;32(17): 175012. doi: 10.1088/0264-9381/32/17/175012.

2014

• Grosse H, Wulkenhaar R. Towards a construction of a quantum field theory in four dimensions. In: Eckstein M, Heller M, Szybka S, Hrsg. Mathematical Structures of the Universe. Kraków: Copernicus Center Press; 2014. S. 227–258.
• Grosse H, Wulkenhaar R. Noncommutative quantum field theory. Fortschr Phys. 2014;62(9-10): 797–811. doi: 10.1002/prop.201400020.
• Grosse H, Wulkenhaar R. Solvable 4D noncommutative QFT: phase transitions and quest for reflection positivity [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.1406.7755.
• Grosse H, Wulkenhaar R. Self-dual noncommutative ϕ4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory. Commun. Math. Phys.. 2014;329(3): 1069–1130. doi: 10.1007/s00220-014-1906-3.
• Grosse H, Wulkenhaar R. Construction of the \Phi^4_4-quantum field theory on noncommutative Moyal space. RIMS Kôkyûroku. 2014;2014(1904): 67–104.

2013

• Gayral V, Wulkenhaar R. Spectral geometry of the Moyal plane with harmonic propagation. J. Noncommut. Geom.. 2013;7(4): 939–979. doi: 10.4171/JNCG/140.
• Grosse H, Wulkenhaar R. Construction and properties of noncommutative quantum fields In: Jensen A, Hrsg. XVIIth International Congress on Mathematical Physics Konferenzband der XVIIth International Congress on Mathematical Physics, Aalborg. Singapore: World Scientific Publishing S. 643–650. doi: 10.1142/9789814449243_0066.
• Grosse H, Wulkenhaar R. Solvable limits of a 4D noncommutative QFT [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.1306.2816.
• Grosse H, Wulkenhaar R. Construction of a Noncommutative Quantum Field Theory. In: Holden H, Simon B, Teschl G, Hrsg. Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday. Providence, RI: American Mathematical Society; 2013. S. 153–163. (Proceedings of Symposia in Pure Mathematics; Bd. 87). doi: 10.1090/pspum/087/01442.

2012

• Spisso B, Wulkenhaar R. A numerical approach to harmonic non-commutative spectral field theory. International Journal of Modern Physics A. 2012;27(14): Artikel 1250075. doi: 10.1142/S0217751X12500753.
• Grosse H, Wulkenhaar R. Renormalization of a noncommutative field theory. International Journal of Modern Physics A. 2012;27(12): Artikel 1250067. doi: 10.1142/S0217751X12500674.
• Grosse H, Wulkenhaar R. 8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory. J. Geom. Phys.. 2012;62(7): 1583–1599. doi: 10.1016/j.geomphys.2012.03.005.
• Grosse H, Wulkenhaar R. Renormalization of a noncommutative field theory. IJMPCS. 2012;13: 108–117. doi: 10.1142/S2010194512006770.
• Grosse H, Wulkenhaar R. Renormalizable noncommutative quantum field theory. J. Phys. Conf. Ser.. 2012;343: Artikel 012043. doi: 10.1088/1742-6596/343/1/012043.

2011

• Grosse H, Wulkenhaar R. Renormalisation of the Grosse-Wulkenhaar model. PoS - Proceedings of Science. 2011;QGQGS(2011): Artikel 011.
• Grosse H, Wulkenhaar R. Renormalizable noncommutative quantum field theory. Gen Relativ Gravit. 2011;43: 2491–2498. doi: 10.1007/s10714-010-1065-6.

2010

• Wulkenhaar R. Quantum field theory on noncommutative geometries In: Konferenzband der Noncommutative Geometry and Loop Quantum Gravity: Loops, Algebras and Spectral Triples, Oberwolfach. S. 408–411. (Oberwolfach Reports; Bd. 7). doi: 10.4171/OWR/2010/09.
• Wulkenhaar R. Non-compact spectral triples with finite volume. In: Blanchard E, Ellwood D, Khalkhali M, Marcolli M, Moscovici H, Popa S, Hrsg. Quanta of Maths. Providence, RI: American Mathematical Society; 2010. S. 617–648. (Clay Math. Proc.; Bd. 11).

2009

• Wulkenhaar R. Progress in solving a noncommutative QFT in four dimensions In: Konferenzband der Noncommutative Geometry, Oberwolfach. S. 2318–2321. (Oberwolfach Reports; Bd. 6). doi: 10.4171/OWR/2009/41.
• Grosse H, Wulkenhaar R. Progress in solving a noncommutative quantum field theory in four dimensions [Internet]. arXiv [Preprint]. doi: 10.48550/arXiv.0909.1389.

2008

• Grosse H, Wulkenhaar R. Renormalization of noncommutative quantum field theory. In: Khalkhali M, Marcolli M, Hrsg. An invitation to noncommutative geometry. Singapore: World Scientific Publishing; 2008. S. 129–168. doi: 10.1142/9789812814333_0002.
• Marcillaud dG, Wallet J, Wulkenhaar R. On the vacuum states for non-commutative gauge theory. European Physical Journal C: Particles and Fields. 2008;56(2): 293–304. doi: 10.1140/epjc/s10052-008-0652-0.

2007

• Gayral V, Jureit J-H, Krajewski T, Wulkenhaar R. Quantum field theory on projective modules. J. Noncommut. Geom.. 2007;1(4): 431–496. doi: 10.4171/JNCG/13.
• Marcillaud de Goursac A, Jean-Christophe W, Wulkenhaar R. Noncommutative induced gauge theory. European Physical Journal C: Particles and Fields. 2007;51(4): 977–987. doi: 10.1140/epjc/s10052-007-0335-2.
• Grosse H, Wulkenhaar R. Noncommutative QFT and renormalization. In: Fauser B, Tolksdorf J, Zeidler E, Hrsg. Quantum Gravity - Mathematical Models and Experimental Bounds. Basel: Birkhäuser Verlag; 2007. S. 315–326. doi: 10.1007/978-3-7643-7978-0_16.
• Wulkenhaar R. The harmonic oscillator, its noncommutative dimension and the vacuum of noncommutative gauge theory In: Konferenzband der Noncommutative Geometry, Oberwolfach. S. 2601–2603. (Oberwolfach Reports; Bd. 4). doi: 10.4171/OWR/2007/43.

2006

• Wulkenhaar R. Renormalisation scalar quantum field theory on 4D-Moyal plane In: Konferenzband der The Rigorous Renormalization Group, Oberwolfach. S. 1037–1040. (Oberwolfach Reports; Bd. 3). doi: 10.4171/OWR/2006/17.
• Grosse H, Wulkenhaar R. Noncommutative QFT and renormalization. Fortschr Phys. 2006;54(2-3): 116–123. doi: 10.1002/prop.200510260.
• Grosse H, Wulkenhaar R. Noncommutative QFT and renormalization. Bulg. J. Phys.. 2006;33(s1): 215–225.
• Rivasseau V, Vignes-Tourneret F, Wulkenhaar R. Renormalisation of noncommutative ϕ4-theory by multi-scale analysis. Commun. Math. Phys.. 2006;262(3): 565–594. doi: 10.1007/s00220-005-1440-4.
• Wulkenhaar R. Field theories on deformed spaces. J. Geom. Phys.. 2006;56(1): 108–141. doi: 10.1016/j.geomphys.2005.04.019.

2005

• Grosse H, Wulkenhaar R. Power-counting theorem for non-local matrix models and renormalisation. Commun. Math. Phys.. 2005;254(1): 91–127. doi: 10.1007/s00220-004-1238-9.
• Wulkenhaar R. Euclidean quantum field theory on commutative and noncommutative spaces. In: Ocampo H, Paycha S, Vargas A, Hrsg. Geometric and Topological Methods for Quantum Field Theory. Berlin: Springer VDI Verlag; 2005. S. 59–100. (Lecture Notes in Physics; Bd. 668). doi: 10.1007/11374060_2.
• Grosse H, Wulkenhaar R. Renormalisation of ϕ4-Theory on Noncommutative ℝ4 in the Matrix Base. Commun. Math. Phys.. 2005;256(2): 305–374. doi: 10.1007/s00220-004-1285-2.
• Grosse H, Wulkenhaar R. Renormalisation of scalar quantum field theory on noncommutative R^4. Fortschr Phys. 2005;53(5-6): 634–639. doi: 10.1002/prop.200410231.
• Grosse H, Wulkenhaar R. Renormalisation of \phi^4-theory on non-commutative R^4 to all orders. Letters in Mathematical Physics. 2005;71(1): 13–26. doi: 10.1007/s11005-004-5116-3.

2004

• Grosse H, Wulkenhaar R. Renormalisation group approach to noncommutative quantum field theory. In: Trampetic J, Wess J, Hrsg. Particle Physics and the Universe. Springer VDI Verlag; 2004. S. 197–208. (Springer Proceedings in Physics; Bd. 98). doi: 10.1007/3-540-26798-0_19.
• Grosse H, Wulkenhaar R. Renormalisation of noncommutative scalar field theories. In: Doebner H-D, Dobrev VK, Hrsg. Lie Theory and its Applications in Physics V. World Scientific Publishing; 2004. S. 109–123. doi: 10.1142/9789812702562_0006.
• Grosse H, Wulkenhaar R. Renormalisation of noncommutative quantum field theories. Czechoslovak J. Phys.. 2004;54(11): 1305–1311. doi: 10.1007/s10582-004-9793-z.
• Grosse H, Wulkenhaar R. Regularization and renormalization of quantum field theories on noncommutative spaces. Journal of Nonlinear Mathematical Physics. 2004;11(suppl.): 9–20. doi: 10.2991/jnmp.2004.11.s1.2.
• Bichl AA, Ertl M, Gerhold A, Grimstrup JM, Popp L, Putz V, Schweda M, Grosse H, Wulkenhaar R. Noncommutative U(1) super-Yang-Mills theory: perturbative self-energy corrections. International Journal of Modern Physics A. 2004;19(25): 4231–4249. doi: 10.1142/S0217751X04018221.
• Grimstrup JM, Grosse H, Popp L, Putz V, Schweda M, Wickenhauser M, Wulkenhaar R. IR singularities in noncommutative perturbative dynamics? EPL. 2004;67(2): 186–190. doi: 10.1209/epl/i2003-10285-9.
• Grosse H, Wulkenhaar R. The \beta-function in duality-covariant non-commutative \phi^4-theory. European Physical Journal C: Particles and Fields. 2004;35(2): 277–282. doi: 10.1140/epjc/s2004-01853-x.
• Wulkenhaar R. Renormalisation of noncommutative \phi^4-theory to all orders In: Konferenzband der Nichtkommutative Geometrie, Oberwolfach. S. 2411–2413. (Oberwolfach Reports; Bd. 1). doi: 10.4171/OWR/2004/45.

2003

• Grosse H, Wulkenhaar R. Regularisation and renormalisation of quantum field theories on noncommutative spaces In: Dragovich B, Sazdovic B, Hrsg. Modern Mathematical Physics Konferenzband der 2nd Summer School, Kopaonik, Yugoslavia. Belgrade Institute of Physics S. 29–46.
• Grosse H, Wulkenhaar R. Renormalisation of \phi^4-theory on noncommutative R^2 in the matrix base. J. High Energ. Phys.. 2003;03(12): 019. doi: 10.1088/1126-6708/2003/12/019.
• Putz V, Wulkenhaar R. Seiberg-Witten map for noncommutative super Yang-Mills theory. International Journal of Modern Physics A. 2003;18(19): 3325–3334. doi: 10.1142/S0217751X03015246.
• Bozkaya H, Fischer P, Grosse H, Pitschmann M, Putz V, Schweda M, Wulkenhaar R. Space/time non-commutative field theories and causality. European Physical Journal C: Particles and Fields. 2003;29(1): 133–141. doi: 10.1140/epjc/s2003-01210-9.

2002

• Martinetti P, Wulkenhaar R. Discrete Kaluza-Klein from scalar fluctuations in noncommutative geometry. Journal of Mathematical Physics. 2002;43(1): 182–204. doi: 10.1063/1.1418012.
• Bichl AA, Grimstrup JM, Grosse H, Kraus E, Popp L, Schweda M, Wulkenhaar R. Noncommutative Lorentz symmetry and the origin of the Seiberg-Witten map. European Physical Journal C. 2002;24: 491–494. doi: 10.1007/s100520100857.
• Wulkenhaar R. Quantum field theories on noncommutative R^4 versus \theta-expanded quantum field theories; 2002.
• Wulkenhaar R. Introduction to Hopf algebras in renormalization and noncommutative geometry. In: Scheck F, Upmeier H, Werner W, Hrsg. Noncommutative geometry and the standard model of elementary particle physics. Berlin: Springer VDI Verlag; 2002. S. 313–324. (Lecture Notes in Physics; Bd. 596). doi: 10.1007/3-540-46082-9_17.
• Grimstrup JM, Wulkenhaar R. Quantisation of \theta-expanded non-commutative QED. European Physical Journal C: Particles and Fields. 2002;26(1): 139–151. doi: 10.1140/epjc/s2002-01038-9.
• Gerhold A, Grimstrup J, Grosse H, Popp L, Schweda M, Wulkenhaar R. The energy-momentum tensor on noncommutative spaces -- some pedagogical comments. Ukrainian Journal of Physics. 2002;47(3): 219–225.
• Grimstrup JM, Grosse H, Kraus E, Popp L, Schweda M, Wulkenhaar R. Noncommutative spin-1/2 representations. European Physical Journal C: Particles and Fields. 2002;24(3): 491–494. doi: 10.1007/s10052-002-0938-6.
• Bichl AA, Grimstrup JM, Popp L, Schweda M, Wulkenhaar R. Perturbative analysis of the Seiberg-Witten map. International Journal of Modern Physics A. 2002;17(16): 2219–2231. doi: 10.1142/S0217751X02010649.
• Wulkenhaar R. Non-renormalizability of \theta-expanded non-commutative QED. J. High Energ. Phys.. 2002;02(03): 024. doi: 10.1088/1126-6708/2002/03/024.

2001

• Bichl AA, Grimstrup JM, Popp L, Schweda M, Wulkenhaar R. Deformed QED via Seiberg-Witten map; 2001.
• Bichl AA, Grimstrup JM, Popp L, Schweda M, Grosse H, Wulkenhaar R. Renormalization of the noncommutative photon self-energy to all orders via Seiberg-Witten map. J. High Energ. Phys.. 2001;01(06): 013. doi: 10.1088/1126-6708/2001/06/013.

2000

• Krajewski T, Wulkenhaar R. Perturbative quantum gauge fields on the noncommutative torus. International Journal of Modern Physics A. 2000;15(7): 1011–1029. doi: 10.1142/S0217751X00000495.
• Grosse H, Krajewski T, Wulkenhaar R. Renormalization of noncommutative Yang-Mills theories: A simple example; 2000.
• Wulkenhaar R. Slavnov-Taylor identity in noncommutative geometry. Int. J. Mod. Phys. B. 2000;14(22-23): 2503–2509. doi: 10.1142/S0217979200002053.
• Bichl AA, Grimstrup JM, Popp L, Schweda M, Grosse H, Wulkenhaar R. The superfield formalism applied to the non-commutative Wess-Zumino model. J. High Energ. Phys.. 2000;00(10): 046. doi: 10.1088/1126-6708/2000/10/046.

1999

• Wulkenhaar R. On Feynman graphs as elements of a Hopf algebra. In: Kastler D, Rosso M, Schücker T, Hrsg. Quantum Groups, Noncommutative Geometry and Fundamental Physical Interactions. Nova Science Publishers; 1999. S. 233–242. (Horizons in World Physics; Bd. 226).
• Wulkenhaar R. On the Connes-Moscovici Hopf algebra associated to the diffeomorphisms of a manifold; 1999.
• Krajewski T, Wulkenhaar R. On Kreimer's Hopf algebra structure of Feynman graphs. European Physical Journal C: Particles and Fields. 1999;7(4): 697–708. doi: 10.1007/s100520050439.
• Wulkenhaar R. SO(10)-unification in noncommutative geometry revisited. International Journal of Modern Physics A. 1999;14(4): 559–588. doi: 10.1142/S0217751X99000282.
• Wulkenhaar R. Gauge theories with graded differential Lie algebras. Journal of Mathematical Physics. 1999;40(2): 787–794. doi: 10.1063/1.532685.

1998

• Wulkenhaar R. Gauge field theories in terms of graded differential Lie algebras. In: Doebner H-D, Dobrev VK, Hilgert J, Hrsg. Lie Theory and its Applications in Physics II. World Scientific Publishing; 1998. S. 310–321. doi: 10.1142/3852.
• Wulkenhaar R. Graded differential Lie algebras and SU(5) x U(1)-grand unification. International Journal of Modern Physics A. 1998;13(15): 2627–2692. doi: 10.1142/S0217751X98001359.
• Wulkenhaar R. Graded differential Lie algebras and model building. J. Geom. Phys.. 1998;25(3-4): 305–325. doi: 10.1016/S0393-0440(97)00029-6.

1997

• Wulkenhaar R. Yang-Mills-Higgs models arising from L-cycles. In: Doebner H-D, Nattermann P, Scherer W, Schulte C, Hrsg. GROUP 21. World Scientific Publishing; 1997. S. 597–601. doi: 10.1142/3473.
• Wulkenhaar R. Gyros as geometry of the standard model; 1997.
• Wulkenhaar R. Noncommutative geometry with graded differential Lie algebras. Journal of Mathematical Physics. 1997;38(6): 3358–3390. doi: 10.1063/1.532048.
• Wulkenhaar R. The standard model within non-associative geometry. Physics Letters B. 1997;390(1-4): 119–127. doi: 10.1016/S0370-2693(96)01336-6.

1996

• Matthes R, Rudolph G, Wulkenhaar R. Graded Lie algebras with derivation and model building. In: Doebner H-D, Dobrev VK, Hilgert J, Hrsg. Lie Theory and its Applications in Physics. World Scientific Publishing; 1996. S. 149–158. doi: 10.1142/3301.
• Matthes R, Rudolph G, Wulkenhaar R. On certain graded Lie algebras arising in noncommutative geometry. Acta Phys. Polon. B. 1996;27(10): 2755–2762.
• Matthes R, Rudolph G, Wulkenhaar R. On the structure of a differential algebra used by Connes and Lott. Rep. Math. Phys.. 1996;38(1): 45–66. doi: 10.1016/0034-4877(96)87677-4.
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