1+1-dimensional Yang-Mills equations and mass via quasiclassical correction to action
Abstract
Two-dimensional Yang-Mills models in a pseudo-euclidean space are considered from a point of view of a class of nonlinear Klein-Gordon-Fock equations. It is shown that the Nahm reduction does not work, another choice is proposed and investigated. A quasiclassical quantization of the models is based on Feynmann-Maslov path integral construction and its zeta function representation in terms of a Green function diagonal for an auxiliary heat equation with an elliptic potential. The natural renormalization use a freedom in vacuum state choice as well as the choice of the norm of an evolution operator eigenvectors. A nonzero mass appears via the quasiclassical correction.
Keywords
Cite
@article{arxiv.1701.02222,
title = {1+1-dimensional Yang-Mills equations and mass via quasiclassical correction to action},
author = {Sergey Leble},
journal= {arXiv preprint arXiv:1701.02222},
year = {2017}
}
Comments
20 pages, NEEDS 2015 Workshop, 24-31 May 2015, Santa Margherita di Pula (Cagliari) - Sardinia, Italy