Chiral symmetry restoration at nonzero temperature in the linear sigma model

JT Lenaghan, DH Rischke, J Schaffner-Bielich - Physical Review D, 2000 - APS
JT Lenaghan, DH Rischke, J Schaffner-Bielich
Physical Review D, 2000APS
We study patterns of chiral symmetry breaking at zero temperature and its subsequent
restoration at nonzero temperature within the SU (3) r× SU (3) l linear sigma model. Gap
equations for the masses of the scalar and pseudoscalar mesons and the non-strange and
strange quark condensates are systematically derived in the Hartree approximation via the
Cornwall-Jackiw-Tomboulis formalism. In the chiral limit, the chiral symmetry restoring
transition is found to be first order, as predicted by universality arguments. Taking the …
Abstract
We study patterns of chiral symmetry breaking at zero temperature and its subsequent restoration at nonzero temperature within the SU (3) r× SU (3) l linear sigma model. Gap equations for the masses of the scalar and pseudoscalar mesons and the non-strange and strange quark condensates are systematically derived in the Hartree approximation via the Cornwall-Jackiw-Tomboulis formalism. In the chiral limit, the chiral symmetry restoring transition is found to be first order, as predicted by universality arguments. Taking the experimental values for the meson masses, however, the transition is crossover. The absence of the U (1) A anomaly is found to drive this transition closer to being first order. At large temperatures, the mixing angles between octet and singlet states approach ideal flavor mixing.
American Physical Society