Compactification of spacetime in SU(∞\infty) Yang-Mills theory

preprint2013arXivOpen access

Abstract

The compactification on a torus in SU(∞)SU(\infty) Yang-Mills theory is considered. A special form of the configuration of a gauge field on a torus is examined. The vacuum energy and free energy in the presence of fermions coupled with this background in the theory are derived and possible symmetry breaking is investigated.

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