Finite temperature and confinement along the extra dimensions studied on a five-dimensional U(1) lattice gauge model

TL;DR

This study investigates the phase diagram of a five-dimensional U(1) lattice gauge model at finite temperature, revealing the disappearance of the layer phase due to deconfinement effects.

Contribution

It demonstrates how finite temperature affects the layered phase in a five-dimensional gauge model, showing the loss of confinement and layered structure at non-zero temperatures.

Findings

Layer phase exists at zero temperature with confinement along extra dimension.

Finite temperature causes the layer phase to disappear.

Deconfinement at finite temperature leads to loss of layered structure.

Abstract

In this paper we study the properties of the phase diagram of a simple extra dimensional model on the lattice at finite temperature. We consider the five-dimensional pure gauge abelian model with anisotropic couplings which at zero temperature exhibits a new interesting phase, the layer phase. This phase is characterized by a massless photon living on the four dimensional subspace and confinement along the extra dimension. We show that, as long as the temperature takes a non zero value the aforementioned layer phase disappears. It would be equivalent to assume that at finite temperature the higher-dimensional lattice model loses any feature of the layered structure due to the deconfinement which opens up the interactions between the three-dimensional subspaces at finite temperature.