Anomalous Currents and Gluon Condensates in QCD at Finite Temperature

TL;DR

This paper explores how quantum anomalies affect gluon condensates and anomalous currents in QCD at finite temperature, using lattice simulation data to analyze phase transitions and symmetry restoration.

Contribution

It provides computational evaluations of gluon condensates at finite temperature and examines their behavior during chiral symmetry restoration in QCD.

Findings

Gluon condensates vary with temperature and are affected by chiral phase transitions.

Anomalous currents are related to changes in the gluon condensate at finite temperature.

Numerical data supports the connection between anomalies and QCD phase structure.

Abstract

After a short description of the currents coming from the known conservation laws in classical physics, we look at some further cases which arise after quantization in relation to quantum chromodynamics (QCD) at finite temperature. In these cases, however, some basic changes appear with the anomalies. First we go into the relationship between the trace of the energy momentum tensor and the gluon condensate at finite temperature. Using the recent numerical data from the simulations of lattice guage theory we present the computational evaluations for the gluon condensates at finite temperature. Thereafter we discuss the effects of chiral symmetry breaking and its restoration at finite temperature through the chiral phase transition. In this context we investigate the properties of the gluon condensate in the presence of massive dynamical quarks using numerical data. Finally we put together these results with a discussion of the various anomalous currents and their relationship to our findings here.