The Universlity Class of Monopole Condensation in Non-Compact, Quenched Lattice QED

TL;DR

This paper investigates monopole condensation in noncompact quenched lattice QED, demonstrating a second order phase transition in the universality class of four-dimensional percolation with non-mean-field critical indices.

Contribution

It identifies the universality class of monopole condensation in lattice QED and proposes exact critical index ratios for this transition.

Findings

Second order phase transition in lattice QED

Critical indices align with 4D percolation universality class

Critical indices differ from mean-field predictions

Abstract

Finite size scaling studies of monopole condensation in noncompact quenched lattice $QED$ indicate an authentic second order phase transition lying in the universality class of four dimensional percolation. Since the upper critical dimension of percolation is six, the measured critical indices are far from mean-field values. We propose a simple set of ratios as the exact critical indices for this transition. The implication of these results for critical points in Abelian gauge theories are discussed.