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Roberge-Weiss transitions at imaginary isospin chemical potential

2021/10/26 by Amine Chabane, Gergely Endrődi, Chabane, Amine +2
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-lat #hep-ph

paper · pdf · doi:10.48550/arxiv.2110.13536

9 pages, 10 figures

arxiv created 2021/10/26 · openalex publication_date 2021/10/26 · arxiv updated 2021/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

At finite imaginary values of the chemical potential, QCD is free of the sign problem. Moreover, at high temperatures the partition function exhibits a new symmetry (the Roberge-Weiss symmetry) connecting phases with different orientations of the Polyakov loop, and the corresponding phase transitions between these. In this contribution we investigate the perturbative one-loop effective potential for the Polyakov loop in the presence of imaginary isospin as well as baryon chemical potentials. This leads to a novel phase diagram, which reveals an interesting insight about the rich phase structure of the system and the center symmetry breaking. We check the perturbative results using direct lattice simulations.

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