Quantum Field Theories in Nonextensive Tsallis Statistics

TL;DR

This paper develops a perturbation theory for relativistic quantum fields within Tsallis statistics, revealing initial correlations and showing that thermal masses in quark-gluon plasma are reduced compared to traditional statistics.

Contribution

It introduces a novel perturbation framework in Tsallis statistics for quantum fields, highlighting the emergence of initial correlations and their impact on thermal masses.

Findings

Initial correlations appear in Tsallis-based quantum field systems.

Thermal masses of quarks and gluons are smaller in Tsallis statistics.

Framework applicable to quark-gluon plasma analysis.

Abstract

Within the framework of Tsallis statistics with q ~ 1, we construct a perturbation theory for treating relativistic quantum field systems. We find that there appear initial correlations, which do not exist in the Boltzmann-Gibbs statistics. Applying this framework to a quark-gluon plasma, we find that the so-called thermal masses of quarks and gluons are smaller than in the case of Boltzmann-Gibbs statistics.