2008/11/28 by H. Kouno, Hiroaki Kouno, Y. Sakai +12
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems #hep-lat #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.48550/arxiv.0811.4660
3 pages, 1 figure, to be published in the proceedings for the YITP workshop YITP-W-08-09 on "Thermal Quantum Field Theories and Their Applications", Kyoto, September 3-5, 2008
arxiv created 2008/11/28 · openalex publication_date 2008/11/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Using the Polyakov extended Nambu-Jona-Lasinio (PNJL) model with imaginary chemical potential, the relation between the Roberge-Weiss (RW) phase transition and the extended Z3 symmetry is studied. At low temperature, there is approximate continuous symmetry under the phase transformation of the Polyakov loop with the shift of the imaginary chemical potential. Due to this continuous symmetry, the Polyakov loop can oscillate smoothly as the imaginary chemical potential increases. At high temperature, this continuous symmetry is broken to an exact discrete symmetry, the extended Z3 symmetry, and the Polyakov loop can not oscillate smoothly. This symmetry breaking of the continuous symmetry causes a discontinuity of the Polyakov loop. That is the RW phase transition.