Thibaut Lemoine

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20242026

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math-ph2026

The heat-kernel master field on $Z^{d}$ at strong coupling

Thibaut Lemoine

We solve large- $N$ Yang--Mills theory on $Z^{d}$ , for every $d \geq 2$ , at strong coupling, for structure group $U (N)$ and for the heat-kernel action. More precisely,…

math-ph2026

Universal dualities for Wilson loops in lattice Yang-Mills

Thibaut Lemoine

We identify a universal finite- $N$ structure underlying Wilson loop expectations in lattice Yang--Mills, in any dimension $d \geq 2$ , for gauge group $U (N)$ , and for arbitr…

math-ph2025

The central heat trace on large compact classical groups

Thibaut Lemoine, Mylène Maïda

We study the large- $N$ asymptotics of the central trace of the heat kernel on compact classical groups. For every classical family $G_N\subset \mathrm{GL}_N(\C)$, we prove a full l…

math-ph2024

Gaussian measure on the dual of $U (N)$ , random partitions, and topological expansion of the partition function

Thibaut Lemoine, Mylène Maïda

We study a Gaussian measure with parameter $q \in (0, 1)$ on the dual of the unitary group of size $N$ : we prove that a random highest weight under this measure is the coupling of two…

The heat-kernel master field on Zd at strong coupling

Universal dualities for Wilson loops in lattice Yang-Mills

The central heat trace on large compact classical groups

Gaussian measure on the dual of U(N), random partitions, and topological expansion of the partition function

The heat-kernel master field on $Z^{d}$ at strong coupling

Gaussian measure on the dual of $U (N)$ , random partitions, and topological expansion of the partition function