H. Grosse

activity

19942023

most citedCombinatorial quantization of the Hamiltonian Chern-Simons theory I

183 citations · 2.1k across the 66 of their papers we have counts for

collaborators

66 papers

math-ph2023

Integrability of $Φ^{4}$ Matrix Model as $N$ -body Harmonic Oscillator System

Harald Grosse, Akifumi Sako

We study a Hermitian matrix model with a kinetic term given by $T r (H Φ^{2})$ , where $H$ is a positive definite Hermitian matrix, similar as in the Kontsevich Matrix model, but wit…

hep-th2021★ 14 cited

From scalar fields on quantum spaces to blobbed topological recursion

Johannes Branahl, Harald Grosse, Alexander Hock +1

We review the construction of the $λ ϕ^{4}$ -model on noncommutative geometries via exact solutions of Dyson-Schwinger equations and explain how this construction relates via (blobbed)…

math-ph2019★ 15 cited

Solution of the self-dual $Φ^{4}$ QFT-model on four-dimensional Moyal space

Harald Grosse, Alexander Hock, Raimar Wulkenhaar

Previously the exact solution of the planar sector of the self-dual $Φ^{4}$ -model on 4-dimensional Moyal space was established up to the solution of a Fredholm integral equation. Thi…

math-ph2019★ 17 cited

Solution of all quartic matrix models

Harald Grosse, Alexander Hock, Raimar Wulkenhaar

We consider the quartic analogue of the Kontsevich model, which is defined by a measure $exp (- N Tr (E Φ^{2} + (λ /4) Φ^{4})) d Φ$ on Hermitian $N \times N$ -matrices, where $E$ …

math-ph2019★ 9 cited

A Laplacian to compute intersection numbers on $M ˉ_{g, n}$ and correlation functions in NCQFT

Harald Grosse, Alexander Hock, Raimar Wulkenhaar

Let $F_{g} (t)$ be the generating function of intersection numbers on the moduli spaces $M ˉ_{g, n}$ of complex curves of genus $g$ . As by-product of a complete solution…

math-ph2016★ 2 cited

The $Φ_{4}^{3}$ and $Φ_{6}^{3}$ matricial QFT models have reflection positive two-point function

Harald Grosse, Akifumi Sako, Raimar Wulkenhaar

We extend our previous work (on $D = 2$ ) to give an exact solution of the $Φ_{D}^{3}$ large- $N$ matrix model (or renormalised Kontsevich model) in $D = 4$ and $D = 6$ dimensions. I…

Integrability of Φ4 Matrix Model as N-body Harmonic Oscillator System

From scalar fields on quantum spaces to blobbed topological recursion

Solution of the self-dual Φ4 QFT-model on four-dimensional Moyal space

Solution of all quartic matrix models

A Laplacian to compute intersection numbers on Mˉg,n​ and correlation functions in NCQFT

The Φ43​ and Φ63​ matricial QFT models have reflection positive two-point function

Integrability of $Φ^{4}$ Matrix Model as $N$ -body Harmonic Oscillator System

Solution of the self-dual $Φ^{4}$ QFT-model on four-dimensional Moyal space

A Laplacian to compute intersection numbers on $M ˉ_{g, n}$ and correlation functions in NCQFT

The $Φ_{4}^{3}$ and $Φ_{6}^{3}$ matricial QFT models have reflection positive two-point function