5 papers · 1 filter
The heat-kernel master field on at strong coupling
Thibaut Lemoine
We solve large- Yang--Mills theory on , for every , at strong coupling, for structure group and for the heat-kernel action. More precisely,…
The central heat trace on large compact classical groups
Thibaut Lemoine, Mylène Maïda
We study the large- 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…
Universal dualities for Wilson loops in lattice Yang-Mills
Thibaut Lemoine
We identify a universal finite- structure underlying Wilson loop expectations in lattice Yang--Mills, in any dimension , for gauge group , and for arbitr…
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 and higher, in the model of tw…
Gaussian measure on the dual of , random partitions, and topological expansion of the partition function
Thibaut Lemoine, Mylène Maïda
We study a Gaussian measure with parameter on the dual of the unitary group of size : we prove that a random highest weight under this measure is the coupling of two…