2016/05/31 by Gábor Almási, Gabor Andras Almasi, Wojciech Tarnowski +3
Mathematics · Physics and Astronomy · #Algorithm #Equation of state #High-Energy Particle Collisions Research #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scaling #State (computer science) #Statistical physics #Theoretical physics #hep-ph
paper · pdf · doi:10.1103/physrevd.95.014007
published as Phys. Rev. D 95, 014007 (2017) · 14 pages, 8 figures. Extended discussion of the results, slightly changed parameters in calculation for transparency. Additional correction of minor errors and change of format
openalex publication_date 2017/01/09 · arxiv created 2017/01/31 · arxiv updated 2017/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The scaling behavior of the order parameter at the chiral phase transition, the so-called magnetic equation of state, of strongly interacting matter is studied within effective models. We explore universal and nonuniversal structures near the critical point. These include the scaling functions, the leading corrections to scaling, and the corresponding size of the scaling window as well as their dependence on an external symmetry breaking field. We consider two models in the mean-field approximation, the quark-meson and the Polyakov loop extended quark-meson (PQM) models, and compare their critical properties with a purely bosonic theory, the O(N) linear sigma model in the N\ensuremath→\ensuremath∞ limit. In these models the order parameter scaling function is found analytically using the high temperature expansion of the thermodynamic potential. The effects of a gluonic background on the nonuniversal scaling parameters are studied within the PQM model.