Volume and quark mass dependence of the chiral phase transition

2005/12/31 by Jens Braun, J. Braun, B. Klein +4 · 1 citation
Physics and Astronomy · #Condensed matter physics #Current (fluid) #High-Energy Particle Collisions Research #Particle physics #Particle physics theoretical and experimental studies #Phase transition #Physics #Quantum Chromodynamics and Particle Interactions #Quark #Thermodynamics #Volume (thermodynamics) #hep-ph

paper · pdf · doi:10.1103/physrevd.73.074010

published as Phys.Rev. D73 (2006) 074010 · 25 pages, 6 figures, revtex4, one figure added, matches published version

openalex publication_date 2006/04/12 · arxiv created 2006/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate chiral symmetry restoration in finite spatial volume and at finite temperature by calculating the dependence of the chiral phase transition temperature T_c on the size of the spatial volume and the current-quark mass for the quark-meson model, using the proper-time renormalization group approach. We find that the critical temperature is weakly dependent on the size of the spatial volume for large current-quark masses, but depends strongly on it for small current-quark masses. In addition, for small volumes we observe a dependence on the choice of quark boundary conditions.

Citations

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