2011/10/20 by Da Huang, Huang, Da, Yue-Liang Wu +1
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #High-Energy Particle Collisions Research #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.48550/arxiv.1110.4491
29 pages, 5 figures, references and appendix added
openalex publication_date 2011/10/20 · arxiv created 2012/02/29 · arxiv updated 2012/03/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
By applying the closed-time-path Green function formalism to the chiral dynamical model based on an effective Lagrangian of chiral quarks with the nonlinear-realized meson fields as bosonized auxiliary fields, we then arrive at a chiral thermodynamic model for the meson fields with finite temperature. Particular attention is paid to the spontaneous chiral symmetry breaking and restoration from the dynamically generated effective composite Higgs potential of meson fields at finite temperature. It is shown that the minimal condition of the effective composite Higgs potential of meson fields leads to the thermodynamic gap equation at finite temperature, which enables us to investigate the critical behavior of the effective chiral thermodynamical model and to explore the QCD phase transition. After fixing the free parameters in the effective chiral Lagrangian at low energies with zero temperature, we determine the critical temperature of the chiral symmetry restoration and present a consistent prediction for the thermodynamical behavior of several physically interesting quantities, which include the vacuum expectation value vo(T), quark condensate <qq>(T), pion decay constant fπ(T) and pion meson mass mπ(T). In particular, it is also shown that the thermodynamic scaling behavior of these quantities becomes the same near the critical point of phase transition.