• 2025
• 2024
• 2023
• 2022
• 2021
• 2020
• 2019
• 2018
• 2017
• 2016
• 2015
• 2014
• 2013
• 2012
• 2011
• 2010
• 2009
• 2008
• 2007
• 2006

2025

• Juliano, L, und Thürigen, J. 2025. „New Fixed Points from Melonic Interactions.“ Physics Letters B, Nr. 860: 139218. doi: 10.1016/j.physletb.2024.139218.
• Hock, Alexander, Shadrin, Sergey, und Wulkenhaar, Raimar. 2025. „Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions.“ arXiv doi: 10.48550/arXiv.2501.00082.

2024

• Hock, Alexander, Wulkenhaar, Raimar, und Dołega, Maciej (appendix). im Druck. „Blobbed topological recursion of the quartic Kontsevich model II: Genus=0.“ Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, Nr. online first doi: 10.4171/AIHPD/198.
• Borot, Gaëtan, und Wulkenhaar, Raimar. 2024. „A note on BKP for the Kontsevich matrix model with arbitrary potential.“ Symmetry, Integrability and Geometry: Methods and Applications, Nr. 20 050. doi: 10.3842/SIGMA.2024.050.
• Grosse, Harald, Kanomata, Naoyuki, Sako, Akifumi, und Wulkenhaar, Raimar. 2024. „Real symmetric Φ^4-matrix model as Calogero-Moser model.“ Letters in Mathematical Physics, Nr. 114 25. doi: 10.1007/s11005-024-01772-5.
• Ben Geloun, J, Pithis, A, und Thürigen, J. 2024. „QFT with Tensorial and Local Degrees of Freedom: Phase Structure from Functional Renormalization.“ Journal of Mathematical Physics, Nr. 65: 032302. doi: 10.1063/5.0158724.
• Hock, A, und Thürigen, J. 2024. „Combinatorial Dyson-Schwinger Equations of Quartic Matrix Field Theory.“ arXiv
• Grosse, Harald, Kanomata, Naoyuki, Sako, Akifumi, und Wulkenhaar, Raimar. 2024. „Relationship between Φ^4-matrix model and N-body harmonic oscillator or Calogero-Moser model.“ Beitrag präsentiert auf der The XXVIII International Conference on Integrable Systems and Quantum Symmetries (ISQS28), Prague doi: 10.1088/1742-6596/2912/1/012014.

2023

• Melong, Fridolin, und Wulkenhaar, Raimar. 2023. „Generalized Heisenberg-Virasoro algebra and matrix models from quantum algebra.“ Journal of Mathematical Physics, Nr. 64 (7) 073505. doi: 10.1063/5.0150975.
• Marchetti, L, Oriti, D, Pithis, A, und Thürigen, J. 2023. „Mean-Field Phase Transitions in TGFT Quantum Gravity.“ Physical Review Letters, Nr. 130: 141501. doi: 10.1103/PhysRevLett.130.141501.
• Marchetti, L, Oriti, D, Pithis, A, und Thürigen, J. 2023. „Phase transitions in TGFT: a Landau-Ginzburg analysis of Lorentzian quantum geometric models.“ Journal of High Energy Physics (JHEP), Nr. 02: 074. doi: 10.1007/JHEP02(2023)074.
• Jercher, A, Steinhaus, S, und Thürigen, J. 2023. „Curvature effects in the spectral dimension of spin foams.“ Physical Review D (PRD), Nr. 108: 066011. doi: 10.1103/PhysRevD.108.066011.
• Hock, Alexander, und Wulkenhaar, Raimar. 2023. „Blobbed topological recursion from extended loop equations.“ arXiv doi: 10.48550/arXiv.2301.04068.
• Grosse, Harald, Hock, Alexander, und Wulkenhaar, Raimar. 2023. „A Laplacian to compute intersection numbers on M_{g,n} and correlation functions in NCQFT.“ Communications in Mathematical Physics, Nr. 399: 481–517. doi: 10.1007/s00220-022-04557-w.
• Schürmann, Jörg, und Wulkenhaar, Raimar. 2023. „An algebraic approach to a quartic analogue of the Kontsevich model.“ Mathematical Proceedings, Nr. 174 (3): 471–495. doi: 10.1017/S0305004122000366.

2022

• Branahl, Johannes, Grosse, Harald, Hock, Alexander, und Wulkenhaar, Raimar. 2022. „From scalar fields on quantum spaces to blobbed topological recursion.“ Journal of Physics A: Mathematical and Theoretical, Nr. 55 (42) 423001. doi: 10.1088/1751-8121/ac9260.
• Brunekreef, J, Lionni, L, und Thürigen, J. 2022. „One-matrix differential reformulation of two-matrix models.“ Reviews in Mathematical Physics, Nr. 34 (08): 2250026. doi: 10.1142/S0129055X2250026X.
• Branahl, Johannes, Hock, Alexander, und Wulkenhaar, Raimar. 2022. „Blobbed topological recursion of the quartic Kontsevich model I: Loop equations and conjectures.“ Communications in Mathematical Physics, Nr. 393: 1529–1582. doi: 10.1007/s00220-022-04392-z.
• de Jong, Jins, Hock, Alexander, und Wulkenhaar, Raimar. 2022. „Nested Catalan tables and a recurrence relation in noncommutative quantum field theory.“ Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, Nr. 9 (1): 47–72. doi: 10.4171/AIHPD/113.
• Kohl, Finn Bjarne, und Wulkenhaar, Raimar. 2022. „Intersection theory of the complex quartic Kontsevich model.“ arXiv doi: 10.48550/arXiv.2212.01359.

2021

• Pascalie, Romain, Pérez-Sánchez, Carlos Ignacio, und Wulkenhaar, Raimar. 2021. „Correlation functions of U(N)-tensor models and their Schwinger-Dyson equations.“ Annales de l’Institut Henri Poincaré D: Combinatorics, Physics and their Interactions, Nr. 8 (3): 377–458. doi: 10.4171/AIHPD/107.
• Branahl, Johannes, Hock, Alexander, und Wulkenhaar, Raimar. 2021. „Perturbative and geometric analysis of the quartic Kontsevich model.“ Symmetry, Integrability and Geometry: Methods and Applications, Nr. 17: 085. doi: 10.3842/SIGMA.2021.085.
• Pithis, AG, und Thürigen, J. 2021. „(No) phase transition in tensorial group field theory.“ Physics Letters B, Nr. 816: 136215. doi: 10.1016/j.physletb.2021.136215.
• Thürigen, J. 2021. „Renormalization in Combinatorially Non-Local Field Theories: the BPHZ Momentum Scheme.“ Symmetry, Integrability and Geometry: Methods and Applications, Nr. 17: 094. doi: 10.3842/SIGMA.2021.094.
• Thürigen, J. 2021. „Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs.“ Math. Phys. Anal. Geom., Nr. 24 (2): 19. doi: 10.1007/s11040-021-09390-6.
• Marchetti, L, Oriti, D, Pithis, A, und Thürigen, J. 2021. „Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom.“ JHEP, Nr. 12 (2021): 201. doi: 10.1007/JHEP12(2021)201.

2020

• Münster, Gernot, und Wulkenhaar, Raimar. 2020. „The Leutwyler-Smilga relation on the lattice.“ Modern Physics Letters A, Nr. 35 (01): 1950346. doi: 10.1142/S0217732319503462.
• Thürigen, J. 2020. „Functional renormalization group in TGFT - the cyclic-melonic potential approximation.“ Beitrag präsentiert auf der Quantum Spacetime and the Renormalization Group 2020, Odense, Dänemark
• Pithis, AG, und Thürigen, J. 2020. „Phase transitions in TGFT: Functional renormalization group in the cyclic-melonic potential approximation and equivalence to O(N) models.“ JHEP, Nr. 12 (2020): 159. doi: 10.1007/JHEP12(2020)159.
• Hock, Alexander. 2020. „Matrix Field Theory.“ Dissertationsschrift, Universität Münster.
• Grosse, Harald, Hock, Alexander, und Wulkenhaar, Raimar. 2020. „Solution of the self-dual \Phi^4 QFT-model on four-dimensional Moyal space.“ Journal of High Energy Physics (JHEP), Nr. 01: 081. doi: 10.1007/JHEP01(2020)081.
• Panzer, Erik, und Wulkenhaar, Raimar. 2020. „Lambert-W solves the noncommutative ϕ4-model.“ Communications in Mathematical Physics, Nr. 374: 1935–1961. doi: 10.1007/s00220-019-03592-4.

2019

• de Jong, Jins, und Wulkenhaar, Raimar. 2019. „Nonperturbative evaluation of the partition function for the real scalar quartic QFT on the Moyal plane at weak coupling.“ Journal of Mathematical Physics, Nr. 60 (8) 083504. doi: 10.1063/1.5063293.
• Pascalie, Romain, Pérez-Sánchez, Carlos Ignacio, Tanasa, Adrian, und Wulkenhaar, Raimar. 2019. „On the large N limit of the Schwinger-Dyson equation of rank-3 tensor field theory.“ Journal of Mathematical Physics, Nr. 60 (7) 073502. doi: 10.1063/1.5080306.
• Grosse, Harald, Hock, Alexander, und Wulkenhaar, Raimar. 2019. „Solution of all quartic matrix models.“ arXiv doi: 10.48550/arXiv.1906.04600.
• Wulkenhaar, Raimar. 2019. „Quantum field theory on noncommutative spaces.“ In Advances in Noncommutative Geometry, herausgegeben von Ali Chamseddine, Caterina Consani, Nigel Higson, Masoud Khalkhali, Henri Moscovici und Guoliang Yu. Basel: Springer International Publishing. doi: 10.1007/978-3-030-29597-4_11.
• Lionni, L, und Thürigen, J. 2019. „Multi-critical behaviour of 4-dimensional tensor models up to order 6.“ Nuclear Physics B, Nr. 941: 600–635. doi: 10.1016/j.nuclphysb.2019.02.026.
• Thürigen, Johannes. 2019. „Ansätze zur Quantengravitation - fundamentale Physik am Rande des Begriffs der Naturwissenschaft.“ Briefe zur Interdisziplinarität, Nr. 23: 26–36.

2018

• Grosse, Harald, und Wulkenhaar, Raimar. 2018. „Integrability and positivity in quantum field theory on noncommutative geometry.“ Journal of Geometry and Physics, Nr. 134: 249–262. doi: 10.1016/j.geomphys.2018.08.001.
• Grosse, Harald, und Wulkenhaar, Raimar. 2018. „How Prof. Zeidler supported our research on exact solution of quantum field theory toy models.“ Vietnam Journal of Mathematics, Nr. 47: 93–112. doi: 10.1007/s10013-018-0302-2.
• Hock, Alexander, und Wulkenhaar, Raimar. 2018. „Noncommutative 3-colour scalar quantum field theory model in 2D.“ The European Physical Journal C, Nr. 78 580. doi: 10.1140/epjc/s10052-018-6042-3.
• Pérez-Sánchez, CI. 2018. „The full Ward-Takahashi Identity for colored tensor models.“ Communications in Mathematical Physics, Nr. 358 (2): 589–632. doi: 10.1007/s00220-018-3103-2.
• Pithis, A, und Thürigen, J. 2018. „Phase transitions in group field theory: The Landau perspective.“ Physical Review D - Particles, Fields, Gravitation, and Cosmology, Nr. 98: 126006. doi: 10.1103/PhysRevD.98.126006.
• Wulkenhaar, Raimar. 2018. „Lambert-W solves the noncommutative \Phi^4-model.“ In Bd. 15 aus Oberwolfach Reports doi: 10.4171/OWR/2018/32.
• Steinhaus, S, und Thürigen, J. 2018. „Emergence of Spacetime in a restricted Spin-foam model.“ Physical Review D - Particles, Fields, Gravitation, and Cosmology, Nr. 98: 026013. doi: 10.1103/PhysRevD.98.026013.
• Grosse, Harald, Sako, Akifumi, und Wulkenhaar, Raimar. 2018. „The \Phi^3_4 and \Phi^3_6 matricial QFT models have reflection positive two-point function.“ Nuclear Physics B, Nr. 926: 20–48. doi: 10.1016/j.nuclphysb.2017.10.022.

2017

• Grosse, Harald, Sako, Akifumi, und Wulkenhaar, Raimar. 2017. „Exact solution of matricial \Phi^3_2 quantum field theory.“ Nuclear Physics B, Nr. 925: 319–347. doi: 10.1016/j.nuclphysb.2017.10.010.
• Pérez-Sánchez, CI. 2017. „Surgery in colored tensor models.“ Journal of Geometry and Physics, Nr. 120: 262–289. doi: 10.1016/j.geomphys.2017.06.009.
• de Jong, Jins, und Wulkenhaar, Raimar. 2017. „The asymptotic volume of diagonal subpolytopes of symmetric stochastic matrices.“ arXiv.org doi: 10.48550/arXiv.1701.07719.
• Wulkenhaar, Raimar. 2017. „Reflection positivity in large-deformation limits of noncommutative field theories.“ In Bd. 14 aus Oberwolfach Reports doi: 10.4171/OWR/2017/55.

2016

• Wulkenhaar, Raimar. 2016. „Integrability in a 4D QFT model.“ In Bd. 13 aus Oberwolfach Reports 13 doi: 10.4171/OWR/2016/36.
• Grosse, Harald, und Wulkenhaar, Raimar. 2016. „Construction of a quantum field theory in four dimensions.“ PoS - Proceedings of Science, Nr. 224 151. doi: 10.22323/1.224.0151.
• Lechner, Gandalf, und Schlemmer, Jan. 2016. „Thermal Equilibrium States for Quantum Fields on Non-commutative Spacetimes.“ In Quantum Mathematical Physics , herausgegeben von Felix Finster, Johannes Kleiner, Christian Röken und Jürgen Tolksdorf. Basel: Birkhäuser Verlag. doi: 10.1007/978-3-319-26902-3.
• Grosse, Harald, und Wulkenhaar, Raimar. 2016. „A solvable four-dimensional QFT.“ In Quantum Mathematical Physics - A Bridge between Mathematics and Physics, herausgegeben von F Finster, J Kleiner, C Röken und J Tolksdorf. Basel: Springer International Publishing. doi: 10.1007/978-3-319-26902-3_8.
• Eckstein, Michał, Sitarz, Andrzej, und Wulkenhaar, Raimar. 2016. „The Moyal sphere.“ Journal of Mathematical Physics, Nr. 2016 (57) 112301. doi: 10.1063/1.4965446.
• Thürigen, J. 2016. „Group field theories generating polyhedral complexes.“ PoS - Proceedings of Science, Nr. FFP14: 177. doi: 10.22323/1.224.0177.
• Grosse, Harald, und Wulkenhaar, Raimar. 2016. „On the fixed point equation of a solvable 4D QFT model.“ Vietnam Journal of Mathematics, Nr. 2016 (44): 153–180. doi: 10.1007/s10013-015-0174-7.

2015

• Ousmane Samary, Dine, Pérez-Sánchez, Carlos Ignacio, Vignes-Tourneret, Fabien, und Wulkenhaar, Raimar. 2015. „Correlation functions of a just renormalizable tensorial group field theory: the melonic approximation.“ Classical and Quantum Gravity, Nr. 32 (17): 175012. doi: 10.1088/0264-9381/32/17/175012.
• Thürigen, J. 2015. „Discrete quantum geometries and their effective dimension.“ Dissertationsschrift, Humboldt Universität zu Berlin. doi: 10.18452/17309.
• Thürigen, J. 2015. „Fields and Laplacians on Quantum Geometries.“ In Proceedings, 13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics, and Relativistic Field Theories (MG13): Stockholm, Sweden, July 1-7, 2012 doi: 10.1142/9789814623995_0388.
• Calcagni, G, Oriti, D, und Thürigen, J. 2015. „Dimensional flow in discrete quantum geometries.“ Physical Review D - Particles, Fields, Gravitation, and Cosmology, Nr. 91 (8): 084047. doi: 10.1103/PhysRevD.91.084047.
• Oriti, D, Ryan, JP, und Thürigen, J. 2015. „Group field theories for all loop quantum gravity.“ New Journal of Physics, Nr. 17: 023042. doi: 10.1088/1367-2630/17/2/023042.

2014

• Grosse, Harald, und Wulkenhaar, Raimar. 2014. „Towards a construction of a quantum field theory in four dimensions.“ In Mathematical Structures of the Universe, herausgegeben von M Eckstein, M Heller und S Szybka. Krakau: Copernicus Center Press.
• Grosse, Harald, und Wulkenhaar, Raimar. 2014. „Noncommutative quantum field theory.“ Fortschritte der Physik, Nr. 62 (9-10): 797–811. doi: 10.1002/prop.201400020.
• Grosse, Harald, und Wulkenhaar, Raimar. 2014. „Solvable 4D noncommutative QFT: phase transitions and quest for reflection positivity.“ arXiv doi: 10.48550/arXiv.1406.7755.
• Grosse, Harald, und Wulkenhaar, Raimar. 2014. „Self-dual noncommutative ϕ4-theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory.“ Communications in Mathematical Physics, Nr. 329 (3): 1069–1130. doi: 10.1007/s00220-014-1906-3.
• Grosse, Harald, und Wulkenhaar, Raimar. 2014. „Construction of the \Phi^4_4-quantum field theory on noncommutative Moyal space.“ RIMS Kôkyûroku, Nr. 2014 (1904): 67–104.
• Calcagni, G, Oriti, D, und Thürigen, J. 2014. „Spectral dimension of quantum geometries.“ Class. Quant. Grav., Nr. 31: 135014. doi: 10.1088/0264-9381/31/13/135014.

2013

• Gayral, Victor, und Wulkenhaar, Raimar. 2013. „Spectral geometry of the Moyal plane with harmonic propagation.“ Journal of Noncommutative Geometry, Nr. 7 (4): 939–979. doi: 10.4171/JNCG/140.
• Grosse, Harald, und Wulkenhaar, Raimar. 2013. „Construction and properties of noncommutative quantum fields.“ In XVIIth International Congress on Mathematical Physics, herausgegeben von A Jensen. Singapore: World Scientific Publishing. doi: 10.1142/9789814449243_0066.
• Grosse, Harald, und Wulkenhaar, Raimar. 2013. „Solvable limits of a 4D noncommutative QFT.“ arXiv doi: 10.48550/arXiv.1306.2816.
• Grosse, Harald, und Wulkenhaar, Raimar. 2013. „Construction of a Noncommutative Quantum Field Theory.“ In Spectral Analysis, Differential Equations and Mathematical Physics: A Festschrift in Honor of Fritz Gesztesy's 60th Birthday, Bd. 87 aus Proceedings of Symposia in Pure Mathematics, herausgegeben von H Holden, B Simon und G Teschl. Providence, RI: American Mathematical Society. doi: 10.1090/pspum/087/01442.
• Calcagni, G, Oriti, D, und Thurigen, J. 2013. „Laplacians on discrete and quantum geometries.“ Class. Quant. Grav., Nr. 30: 125006. doi: 10.1088/0264-9381/30/12/125006.

2012

• Spisso, Bernardino, und Wulkenhaar, Raimar. 2012. „A numerical approach to harmonic non-commutative spectral field theory.“ International Journal of Modern Physics A, Nr. 27 (14) 1250075. doi: 10.1142/S0217751X12500753.
• Grosse, Harald, und Wulkenhaar, Raimar. 2012. „Renormalization of a noncommutative field theory.“ International Journal of Modern Physics A, Nr. 27 (12) 1250067. doi: 10.1142/S0217751X12500674.
• Grosse, Harald, und Wulkenhaar, Raimar. 2012. „8D-spectral triple on 4D-Moyal space and the vacuum of noncommutative gauge theory.“ Journal of Geometry and Physics, Nr. 62 (7): 1583–1599. doi: 10.1016/j.geomphys.2012.03.005.
• Grosse, Harald, und Wulkenhaar, Raimar. 2012. „Renormalization of a noncommutative field theory.“ International Journal of Modern Physics: Conference Series, Nr. 13: 108–117. doi: 10.1142/S2010194512006770.
• Grosse, Harald, und Wulkenhaar, Raimar. 2012. „Renormalizable noncommutative quantum field theory.“ Journal of Physics: Conference Series, Nr. 343 012043. doi: 10.1088/1742-6596/343/1/012043.

2011

• Grosse, Harald, und Wulkenhaar, Raimar. 2011. „Renormalisation of the Grosse-Wulkenhaar model.“ PoS - Proceedings of Science, Nr. QGQGS (2011) 011.
• Grosse, Harald, und Wulkenhaar, Raimar. 2011. „Renormalizable noncommutative quantum field theory.“ General Relativity and Gravitation, Nr. 43: 2491–2498. doi: 10.1007/s10714-010-1065-6.

2010

• Wulkenhaar, Raimar. 2010. „Quantum field theory on noncommutative geometries.“ In Bd. 7 aus Oberwolfach Reports doi: 10.4171/OWR/2010/09.
• Wulkenhaar, Raimar. 2010. „Non-compact spectral triples with finite volume.“ In Quanta of Maths, Bd. 11 aus Clay Math. Proc., herausgegeben von E Blanchard, D Ellwood, M Khalkhali, M Marcolli, H Moscovici und S Popa. Providence, RI: American Mathematical Society.

2009

• Wulkenhaar, Raimar. 2009. „Progress in solving a noncommutative QFT in four dimensions.“ In Bd. 6 aus Oberwolfach Reports doi: 10.4171/OWR/2009/41.
• Grosse, Harald, und Wulkenhaar, Raimar. 2009. „Progress in solving a noncommutative quantum field theory in four dimensions.“ arXiv doi: 10.48550/arXiv.0909.1389.

2008

• Grosse, Harald, und Wulkenhaar, Raimar. 2008. „Renormalization of noncommutative quantum field theory.“ In An invitation to noncommutative geometry, herausgegeben von M Khalkhali und M Marcolli. Singapore: World Scientific Publishing. doi: 10.1142/9789812814333_0002.
• Marcillaud, de Goursac A, Wallet, JC, und Wulkenhaar, R. 2008. „On the vacuum states for non-commutative gauge theory.“ European Physical Journal C: Particles and Fields, Nr. 56 (2): 293–304. doi: 10.1140/epjc/s10052-008-0652-0.

2007

• Gayral, Victor, Jureit, Jan-Hendrik, Krajewski, Thomas, und Wulkenhaar, Raimar. 2007. „Quantum field theory on projective modules.“ Journal of Noncommutative Geometry, Nr. 1 (4): 431–496. doi: 10.4171/JNCG/13.
• Marcillaud de Goursac, Axel, Jean-Christophe, Wallet, und Wulkenhaar, Raimar. 2007. „Noncommutative induced gauge theory.“ European Physical Journal C: Particles and Fields, Nr. 51 (4): 977–987. doi: 10.1140/epjc/s10052-007-0335-2.
• Wulkenhaar, Raimar. 2007. „The harmonic oscillator, its noncommutative dimension and the vacuum of noncommutative gauge theory.“ In Bd. 4 aus Oberwolfach Reports doi: 10.4171/OWR/2007/43.
• Grosse, Harald, und Wulkenhaar, Raimar. 2007. „Noncommutative QFT and renormalization.“ In Quantum Gravity - Mathematical Models and Experimental Bounds, herausgegeben von B Fauser, J Tolksdorf und E Zeidler. Basel: Birkhäuser Verlag. doi: 10.1007/978-3-7643-7978-0_16.

2006

• Wulkenhaar, Raimar. 2006. „Renormalisation scalar quantum field theory on 4D-Moyal plane.“ In Bd. 3 aus Oberwolfach Reports doi: 10.4171/OWR/2006/17.
• Grosse, Harald, und Wulkenhaar, Raimar. 2006. „Noncommutative QFT and renormalization.“ Fortschritte der Physik, Nr. 54 (2-3): 116–123. doi: 10.1002/prop.200510260.
• Grosse, Harald, und Wulkenhaar, Raimar. 2006. „Noncommutative QFT and renormalization.“ Bulgarian Journal of Physics, Nr. 33 (s1): 215–225.
• Rivasseau, Vincent, Vignes-Tourneret, Fabien, und Wulkenhaar, Raimar. 2006. „Renormalisation of noncommutative ϕ4-theory by multi-scale analysis.“ Communications in Mathematical Physics, Nr. 262 (3): 565–594. doi: 10.1007/s00220-005-1440-4.