Nuclear thermodynamics and the in-medium chiral condensate

Abstract

The temperature dependence of the chiral condensate in isospin-symmetric nuclear matter at varying baryon density is investigated using thermal in-medium chiral effective field theory. This framework provides a realistic approach to the thermodynamics of the correlated nuclear many-body system and permits calculating systematically the pion-mass dependence of the free energy per particle. One- and two-pion exchange processes, $\Delta (1232)$-isobar excitations, Pauli blocking corrections and three-body correlations are treated up to and including three loops in the expansion of the free energy density. It is found that nuclear matter remains in the Nambu-Goldstone phase with spontaneously broken chiral symmetry in the temperature range $T\lesssim 100$MeV and at baryon densities at least up to about twice the density of normal nuclear matter, $2{\rho }_0\simeq 0.3$fm${}^{-3}$. Effects of the nuclear liquid-gas phase transition on the chiral condensate at low temperatures are also discussed.

9 pages, 4 figures. arXiv admin note: substantial text overlap with arXiv:1104.2819

References in corpus (9)

• Equation of state and QCD transition at finite temperature
• Nuclear Force from Lattice QCD
• Sigma term and strangeness content of octet baryons
• In-medium chiral condensate beyond linear density approximation
• Chemical freeze-out in heavy ion collisions at large baryon densities
• Chiral thermodynamics of nuclear matter
• Strangeness in the baryon ground states
• On the quark-mass dependence of the baryon ground-state masses
• Chiral condensate in neutron matter

Cited by in corpus (9)

• Roy-Steiner-equation analysis of pion-nucleon scattering
• Nuclear chiral dynamics and thermodynamics
• Dense baryonic matter: constraints from recent neutron star observations
• Chiral Mirror-Baryon-Meson Model and Nuclear Matter beyond Mean-Field
• Thermodynamic phases and mesonic fluctuations in a chiral nucleon-meson model
• Emergent Hadrons and Diquarks
• Dilepton Radiation from Strongly Interacting Systems
• Partial restoration of chiral symmetry in hot and dense neutron matter
• Functional renormalization group study of nuclear and neutron matter