Properties of the non-Gaussian fixed point in 4D compact U(1) lattice gauge theory

TL;DR

This paper investigates the properties of a non-Gaussian fixed point in 4D compact U(1) lattice gauge theory, focusing on gauge-ball spectra and fermionic variables near the critical point, revealing non-mean-field critical exponents.

Contribution

It provides new insights into the scaling behavior and critical exponents of the gauge theory near the non-Gaussian fixed point in the quenched approximation.

Findings

Support for scaling of gauge-ball states in units of string tension

Evidence of non mean-field magnetic exponents

Analysis of the chiral condensate near the critical point

Abstract

We examine selected properties of the gauge-ball spectrum and fermionic variables in the vicinity of the recently discussed non-Gaussian fixed point of 4D compact U(1) lattice gauge theory within the quenched approximation. Approaching the critical point from within the confinement phase, our data support scaling of $T1^{+-}$ gauge-ball states in units of the string tension square root. The analysis of the chiral condensate within the framework of a scaling form for the equation of state suggests non mean-field values for the magnetic exponents $\delta$ and $\beta_{exp}$.