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arXiv · 1701.02222

1+1-dimensional Yang-Mills equations and mass via quasiclassical correction to action

Sergey Leble
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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.

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Sergey Leble. 2016-12-07. 1+1-dimensional Yang-Mills equations and mass via quasiclassical correction to action. https://arxiv.org/abs/1701.02222

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