A Laplacian to compute intersection numbers on $\bar{\mathcal{M}}_{g,n}$ and correlation functions in NCQFT

de Jong, J., Hock, A., Wulkenhaar, R.: Nested Catalan tables and a recurrence relation in noncommutative quantum field theory. Ann. Inst. H. Poincaré D Comb. Phys. Interact. 9

Original

1904

Earlier work this paper cites.

Eynard, B.: Large genus behavior of topological recursion (2019) arXiv:1905.11270 [math-ph]

Original

1905

Earlier work this paper cites.

Grosse, H., Wulkenhaar, R.: Self-dual noncommutative ϕ 4 \phi^{4} -theory in four dimensions is a non-perturbatively solvable and non-trivial quantum field theory. Commun. Math. Phys. 329

Original

1906

Earlier work this paper cites.

Grosse, H., Hock, A., Wulkenhaar, R.: Solution of all quartic matrix models (2019) arXiv:1906.04600 [math-ph]

Original

1906

Earlier work this paper cites.

Zimmermann, W.: Convergence of Bogolyubov’s method of renormalization in momentum space. Commun. Math. Phys. 15

1969

Earlier work this paper cites.

Brezin, E., Itzykson, C., Parisi, G., Zuber, J.B.: Planar diagrams. Commun. Math. Phys. 59

1978

Earlier work this paper cites.

Witten, E.: Two-dimensional gravity and intersection theory on moduli space. Surveys Diff. Geom. 1

1990

Earlier work this paper cites.

Gross, D.J., Migdal, A.A.: Nonperturbative two-dimensional quantum gravity. Phys. Rev. Lett. 64

1990

Earlier work this paper cites.

Makeenko, Yu., Semenoff, G.W.: Properties of Hermitean matrix models in an external field. Mod. Phys. Lett. A6

1991

Earlier work this paper cites.

Kontsevich, M.: Intersection theory on the moduli space of curves and the matrix Airy function. Commun. Math. Phys. 147

1992

Earlier work this paper cites.

Witten, E.: On the Kontsevich model and other models of two-dimensional gravity. In: Differential Geometric Methods in Theoretical Physics. Proc. 20th Int. Conf., New York, 1991, pp. 176–216. World Sci. Publ., River Edge, NJ (1992)

1992

Earlier work this paper cites.

Itzykson, C., Zuber, J.B.: Combinatorics of the modular group. 2. The Kontsevich integrals. Int. J. Mod. Phys. A7

1992

Earlier work this paper cites.

Di Francesco, P., Ginsparg, P.H., Zinn-Justin, J.: 2-D Gravity and random matrices. Phys. Rept. 254

1995

Earlier work this paper cites.

Ambjørn, J., Chekhov, L., Kristjansen, C.F., Makeenko, Yu.: Matrix model calculations beyond the spherical limit. Nucl. Phys. B404

1995

Earlier work this paper cites.

Faber, C.: Algorithms for computing intersection numbers on moduli spaces of curves, with an application to the class of the locus of Jacobians. In: New Trends in Algebraic Geometry. London Math. Soc. Lecture Note Ser., vol. 264, pp. 93–109. Cambridge Univ. Press, Cambridge (1999). https://doi.org/10.1017/CBO9780511721540.006

1999

Earlier work this paper cites.

Langmann, E., Szabo, R.J.: Duality in scalar field theory on noncommutative phase spaces. Phys. Lett. B533

2002

Earlier work this paper cites.

Di Francesco, P.: 2D quantum gravity, matrix models and graph combinatorics. In: Application of Random Matrices in Physics. Proc. Les Houches, pp. 33–88 (2004)

2004

Cited alongside, same era.

Langmann, E., Szabo, R.J., Zarembo, K.: Exact solution of quantum field theory on noncommutative phase spaces. JHEP 01

2004

Cited alongside, same era.

Lando, S.K., Zvonkin, A.K.: Graphs on Surfaces and Their Applications. Encyclopaedia of Mathematical Sciences, vol. 141, p. 455. Springer, Berlin Heidelberg (2004). https://doi.org/10.1007/978-3-540-38361-1 . With an appendix by Don B. Zagier, Low-Dimensional Topology, II

2004

Cited alongside, same era.

Grosse, H., Wulkenhaar, R.: Renormalisation of ϕ 4 \phi^{4} -theory on noncommutative ℝ 4 \mathbb{R}^{4} in the matrix base. Commun. Math. Phys. 256

2005

Cited alongside, same era.

Hock, A.: Matrix Field Theory (2020) arXiv:2005.07525 [math-ph]. (PhD thesis, WWU Münster)

Eynard, B.: A short overview of the ”Topological recursion” (2014) arXiv:1412.3286 [math-ph]

Original

2014

Later among the works it cites.

Eynard, B.: Counting Surfaces. Progress in Mathematical Physics, vol. 70. Springer, Switzerland (2016). https://doi.org/10.1007/978-3-7643-8797-6

2016

Later among the works it cites.

Grosse, H., Sako, A., Wulkenhaar, R.: Exact solution of matricial Φ 2 3 \Phi^{3}_{2} quantum field theory. Nucl. Phys. B925

Original

2017

Later among the works it cites.

Grosse, H., Sako, A., Wulkenhaar, R.: The Φ 4 3 \Phi^{3}_{4} and Φ 6 3 \Phi^{3}_{6} matricial QFT models have reflection positive two-point function. Nucl. Phys. B926

Original

2017

Later among the works it cites.

Borot, G., Shadrin, S.: Blobbed topological recursion: properties and applications. Math. Proc. Cambridge Phil. Soc. 162