Polyakov Loop Behavior in Non-Extensive SU(2) Lattice Gauge Theory

TL;DR

This paper investigates how temperature fluctuations modeled by Euler-Gamma distribution affect the Polyakov Loop in SU(2) lattice gauge theory, revealing a significant shift in critical coupling and deconfinement temperature.

Contribution

It introduces a simulation of SU(2) lattice gauge theory with fluctuating temperature based on non-extensive entropy principles, a novel approach in the field.

Findings

Critical coupling shifts about 30% higher with fluctuations

Polyakov Loop expectation value is affected by temperature fluctuations

Method demonstrates the impact of realistic temperature fluctuations on phase transition points

Abstract

In order to come closer to a realistic model of high-energy collisions, we simulate SU(2) lattice gauge theory under fluctuating temperature. The fluctuations are Euler-Gamma distributed, leading to a canonical state maximizing the Renyi and Tsallis entropy formulas. We test the random lattice spacing method numerically on the Polyakov Loop expectation value. The critical coupling and presumably also the critical deconfinement temperature shifts about 30 per cent to higher values with a realistic degree of fluctuations.