Polyakov-loop phase, Roberge-Weiss periodicity and thermodynamics
Kouji Kashiwa, Hiroaki Kouno
TL;DR
This paper explores how Roberge-Weiss periodicity influences the thermodynamics of QCD at high temperatures, emphasizing the importance of Polyakov-loop phases in reproducing accurate results in semi-quark-gluon plasma conditions.
Contribution
It establishes the necessity of Roberge-Weiss periodicity for accurate thermodynamic descriptions of QCD at moderate high temperatures.
Findings
Roberge-Weiss periodicity is essential for correct thermodynamic calculations.
The grand canonical partition function relates Polyakov-loop phases to Roberge-Weiss periodicity.
The study clarifies the role of Roberge-Weiss periodicity in semi-quark-gluon plasma thermodynamics.
Abstract
In this paper, we discuss the role of Roberge-Weiss periodicity in the thermodynamics of quantum chromodynamics at moderately high temperature, where the semi-quark-gluon plasma is expected. From the construction of the grand canonical partition function at zero and also at finite density via the canonical approach, we are able to discuss the relation between contributions of the Polyakov-loop phase and Roberge-Weiss periodicity. Then, we can conclude that the existence of Roberge-Weiss periodicity is a necessary condition to reproduce exact results at moderately high temperature.
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Taxonomy
TopicsAdvanced Chemical Physics Studies · Advanced Thermodynamics and Statistical Mechanics · Quantum chaos and dynamical systems