activity
20022025
most citedRenormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base

427 citations · 495 across the 7 of their papers we have counts for

collaborators

7 papers

math.CV2025

Symmetry of meromorphic differentials produced by involution identity, and relation to integer partitions

Alexander Hock, Sergey Shadrin, Raimar Wulkenhaar

We prove that meromorphic differentials which are recursively generated by an involution identity are symmetric in all their arguments . The p…

math-ph2023★ 1 cited

A Note on BKP for the Kontsevich Matrix Model with Arbitrary Potential

Gaëtan Borot, Raimar Wulkenhaar

We exhibit the Kontsevich matrix model with arbitrary potential as a BKP tau-function with respect to polynomial deformations of the potential. The result can be equivalently formu…

math-ph2020★ 11 cited

Perturbative and Geometric Analysis of the Quartic Kontsevich Model

Johannes Branahl, Alexander Hock, Raimar Wulkenhaar

The analogue of Kontsevich's matrix Airy function, with the cubic potential replaced by a quartic term with the sa…

math.CO2017★ 2 cited

The asymptotic volume of diagonal subpolytopes of symmetric stochastic matrices

J. de Jong, R. Wulkenhaar

The asymptotic volume of the polytope of symmetric stochastic matrices can be determined by asymptotic enumeration techniques as in the case of the Birkhoff polytope. These methods…

math-ph2013★ 16 cited

Solvable limits of a 4D noncommutative QFT

Harald Grosse, Raimar Wulkenhaar

In previous work we have shown that the (θ->\infty)-limit of ϕ^4_4-quantum field theory on noncommutative Moyal space is an exactly solvable matrix model. In this paper we translat…

hep-th2004★ 427 cited

Renormalisation of ϕ^4-theory on noncommutative R^4 in the matrix base

Harald Grosse, Raimar Wulkenhaar

We prove that the real four-dimensional Euclidean noncommutative ϕ^4-model is renormalisable to all orders in perturbation theory. Compared with the commutative case, the bare acti…