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Polyakov-loop phase, Roberge-Weiss periodicity and thermodynamics

2024/05/14 by Kouji Kashiwa, Kashiwa, Kouji, Hiroaki Kouno +1
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Advanced Thermodynamics and Statistical Mechanics #Combinatorics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Loop (graph theory) #Mathematical physics #Mathematics #Phase (matter) #Physics #Quantum chaos and dynamical systems #Quantum mechanics #Statistical physics #Thermodynamics

paper · pdf · doi:10.48550/arxiv.2405.08333

published in arXiv (Cornell University) (Cornell University)

openalex publication_date 2024/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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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