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

**Authors:** J. Cox, W. Franzki, J. Jersak, C. B. Lang, T. Neuhaus, P. Stephenson

arXiv: hep-lat/9608106 · 2009-10-28

## 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.

## Key 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 $\beta_{exp}$.

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Source: https://tomesphere.com/paper/hep-lat/9608106