The Phase Diagram for the anisotropic SU(2) Adjoint Higgs Model in 5D: Lattice Evidence for Layered Structure

TL;DR

This study investigates a five-dimensional SU(2) adjoint Higgs model with anisotropic couplings, providing lattice evidence for a layered phase where four-dimensional dynamics emerge with confined extra dimensions.

Contribution

It demonstrates the existence of a layered phase in the 5D SU(2) adjoint Higgs model, contrasting with the pure SU(2) case, using Monte Carlo and Mean Field methods.

Findings

Layered phase with U(1) symmetry in 4D

Extra dimension confined by SU(2) gauge symmetry

Contrasts with pure SU(2) model results

Abstract

We explore, by Monte Carlo and Mean Field methods, the five--dimensional SU(2) adjoint Higgs model. We allow for the possibility of different couplings along one direction, describing the so--called anisotropic model. This study is motivated by the possibility of the appearance of four--dimensional layered dynamics. Actually, our results lead to the conclusion that the establishment of a layered phase in four dimensions described by U(1) symmetry is possible, the extra dimension being confined due to the SU(2) gauge symmetry. The five-dimensional adjoint Higgs model turns out to have a layered phase, in contradistinction with what is known about the pure SU(2) model.