• Open Access

Roberge-Weiss periodicity, canonical sector, and modified Polyakov loop

Kouji Kashiwa and Hiroaki Kouno
Phys. Rev. D 100, 094023 – Published 21 November 2019

Abstract

To obtain deeper understanding of QCD properties at finite temperature, we consider the Fourier decomposition of the grand-canonical partition function based on the canonical ensemble method via the imaginary chemical potential. Expectation values are, then, represented by summation over each canonical sector. We point out that the modified Polyakov loop can play an important role in the canonical ensemble; for example, the Polyakov-loop paradox which is known in the canonical ensemble method can be evaded by considering the quantity. In addition, based on the periodicity issue of the modified Polyakov loop at finite imaginary chemical potential, we can construct the systematic way to compute the dual quark condensate which has strong unclearness in its foundation in the presence of dynamical quarks so far.

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  • Received 2 April 2019
  • Revised 8 September 2019

DOI:https://doi.org/10.1103/PhysRevD.100.094023

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Kouji Kashiwa1,* and Hiroaki Kouno2,†

  • 1Fukuoka Institute of Technology, Wajiro, Fukuoka 811-0295, Japan
  • 2Department of Physics, Saga University, Saga 840-8502, Japan

  • *kashiwa@fit.ac.jp
  • kounoh@cc.saga-u.ac.jp

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Issue

Vol. 100, Iss. 9 — 1 November 2019

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