Second Order Phase Transition in Anisotropic Lattice Gauge Theories with Extra Dimensions

TL;DR

This paper investigates anisotropic lattice gauge theories with extra dimensions, revealing a second order phase transition that could facilitate understanding quantum effects in higher-dimensional models.

Contribution

It demonstrates that anisotropy in gauge couplings induces a new phase separated by a second order transition, opening avenues for studying quantum phenomena in extra-dimensional theories.

Findings

Identification of a second order phase transition in anisotropic lattice gauge theories.

The phase diagram is expanded by anisotropy, revealing a new phase.

Potential for new insights into quantum effects of extra dimensions.

Abstract

Field theories with extra dimensions live in a limbo. While their classical solutions have been the subject of considerable study, their quantum aspects are difficult to control. A special class of such theories are anisotropic gauge theories. The anisotropy was originally introduced to localize chiral fermions. Their continuum limit is of practical interest and it will be shown that the anisotropy of the gauge couplings plays a crucial role in opening the phase diagram of the theory to a new phase, that is separated from the others by a second order phase transition. The mechanism behind this is generic for a certain class of models, that can be studied with lattice techniques. This leads to new perspectives for the study of quantum effects of extra dimensions.