Thibaut Lemoine

activity

20192026

most citedLarge N limit of Yang-Mills partition function and Wilson loops on compact surfaces

9 citations · 15 across the 12 of their papers we have counts for

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6 papers · 1 filter

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…

math-ph2023

Almost flat highest weights and application to Wilson loops on compact surfaces

Thibaut Lemoine

We derive new formulas for the expectation and variance of Wilson loops for any contractible simple loop on a compact orientable surface of genus $1$ and higher, in the model of tw…

math-ph2019★ 5 cited

Large $N$ behaviour of the two-dimensional Yang-Mills partition function

Thibaut Lemoine

We compute the large N limit of the partition function of the Euclidean Yang--Mills measure with structure group SU(N) or U(N) on all closed compact surfaces, orientable or not, ex…

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

Almost flat highest weights and application to Wilson loops on compact surfaces

Large N behaviour of the two-dimensional Yang-Mills 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

Large $N$ behaviour of the two-dimensional Yang-Mills partition function