On the possibility of the critical behavior of LGT in the area of asymptotically large \beta

TL;DR

This paper analytically investigates the critical behavior of lattice gauge theories at large 2, finding no evidence of critical phenomena in the asymptotic 2 2 region.

Contribution

It provides an analytical estimate of coupling dependence at large 2, showing the absence of critical behavior in this regime, extending understanding of lattice gauge theory behavior.

Findings

No critical behavior detected at 2 2 in the asymptotic region.

Coupling dependence aligns with Callan-Symanzik relation.

Critical area shifts as a 2 2 approaches infinity.

Abstract

Coupling dependence on lattice spacing and size is estimated analytically at \beta -> \infty region where for a->0 the critical area is shifted in accordance with Callan-Symanzik relation. In considered approximation no trace of critical behavior is found in this area.