Large N limit of the Yang–Mills measure on compact surfaces II: Makeenko–Migdal equations and the planar master field by Antoine Dahlqvist, Thibaut Lemoine

“…This paper considers the large N limit of Wilson loops for the two-dimensional Euclidean Yang–Mills measure on all orientable compact surfaces of genus larger or equal to $1$ , with a structure group given by a classical compact matrix Lie group. Our main theorem shows the convergence of all Wilson loops in probability, given that it holds true on a restricted class of loops, obtained as a modification of geodesic paths. …”
Get full text

Optimal System, Reductions, and Conservation Laws of a Nonlinear Damped Klein-Gordon- Fock Equation by Faiza Arif, F. M. Mahomed, F. D. Zaman, M. T. Mustafa

“…Applying the Lie symmetry method, a comprehensive Lie group classification is performed for the arbitrary smooth functions <inline-formula> <tex-math notation="LaTeX">$\alpha (u)$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$f(u)$ </tex-math></inline-formula> present in the equation, leading to two distinct cases. …”
Get full text

A Quantum Mermin-Wagner Theorem for a Generalized Hubbard Model by Mark Kelbert, Yurii Suhov

“…We assume that a connected Lie group G acts on M, represented by a Euclidean space or torus of dimension d'≤d, preserving the metric and the volume in M. …”
Get full text