Evidence for a Critical Behavior in $4D$ Pure Compact QED

TL;DR

This paper provides evidence of a second-order phase transition in four-dimensional pure compact QED, observed through lattice simulations near the deconfinement transition, indicating critical behavior in the theory.

Contribution

It demonstrates the existence of a critical point in 4D compact QED on spherical lattices, suggesting a second-order phase transition at the deconfinement phase boundary.

Findings

Evidence of critical, second-order behavior at the deconfinement transition.

Lattice regularization on spherical topologies reveals phase transition characteristics.

Supports the existence of a continuous phase transition in 4D compact QED.

Abstract

We present evidence about a critical behavior of $4D$ compact QED (CQED) pure gauge theory. Regularizing the theory on lattices homotopic to a sphere, we present evidence for a critical, i.e. second order like behavior at the deconfinement phase transition for certain values of the coupling parameter $\gamma$.