Chiral condensate thermal evolution at finite baryon chemical potential within Chiral Perturbation Theory

Abstract

We present a model independent study of the chiral condensate evolution in a hadronic gas, in terms of temperature and baryon chemical potential. The meson-meson interactions are described within Chiral Perturbation Theory and the pion-nucleon interaction by means of Heavy Baryon Chiral Perturbation Theory, both at one loop, and nucleon-nucleon interactions can be safely neglected within our hadronic gas domain of validity. Together with the virial expansion, this provides a systematic expansion at low temperatures and chemical potentials, which includes the physical quark masses. This can serve as a guideline for further studies on the lattice. We also obtain estimates of the critical line of temperature and chemical potential where the chiral condensate melts, which systematically lie somewhat higher than recent lattice calculations but are consistent with several hadronic models. We have also estimated uncertainties due to chiral parameters, heavier hadrons and higher orders through unitarized Chiral Perturbation Theory.

arXiv comment15 pages, 15 figures, 3 tables, ReVTeX. Version to appear in Phys. Rev. D. References added. More conservative estimate of applicability domain, with new figure. More detailed explanation of final results with two more figures. Results unchanged

References in corpus (36)

• Chiral Dynamics in Nucleons and Nuclei
• Critical point of QCD at finite T and μ, lattice results for physical quark masses
• The QCD phase diagram for small densities from imaginary chemical potential
• Lattice determination of the critical point of QCD at finite T and μ
• The QCD thermal phase transition in the presence of a small chemical potential
• Meson-Meson interaction in a non-perturbative chiral approach
• Chiral Perturbation Theory
• The Equation of State for Two Flavor QCD at Non-zero Chemical Potential
• The transition temperature in QCD
• Non-perturbative Approach to effective chiral Lagrangians and Meson Interactions
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• The QCD Phase Diagram for Three Degenerate Flavors and Small Baryon Density
• The inverse amplitude method in Chiral Perturbation Theory
• Recent Developments in Chiral Perturbation Theory
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• Lattice QCD at Finite Density -- An introductory review
• Description of the RHIC p_T-spectra in a thermal model with expansion
• Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation
• A global fit of $\pi \pi$ and $\pi K$ elastic scattering in ChPT with dispersion relations
• Pion-nucleon scattering in chiral perturbation theory II: Fourth order calculation
• $K_{l4}$ - Decays Beyond One Loop
• Light scalars as tetraquarks or two-meson states from large Nc and unitarized Chiral Perturbation Theory
• KK bar scattering amplitude to one loop in chiral perturbation theory, its unitarization and pion form factors
• Low-energy expansion of the pion-nucleon Lagrangian
• Saturation from nuclear pion dynamics
• The influence of strange quarks on QCD phase diagram and chemical freeze-out: Results from the hadron resonance gas model
• Hamiltonian lattice QCD at finite chemical potential
• The QCD phase diagram at nonzero baryon, isospin and strangeness chemical potentials: Results from a hadron resonance gas model
• Quark-Antiquark Condensates in the Hadronic Phase
• On wave function renormalization and related aspects in heavy fermion effective field theories
• Chiral symmetry and the pion gas virial expansion
• Improved Unitarized Heavy Baryon Chiral Perturbation Theory for $\pi N$ Scattering
• The SU(2) and SU(3) chiral phase transitions within Chiral Perturbation Theory
• Unitarized pion-nucleon scattering within Heavy Baryon Chiral Perturbation Theory
• Screening Mass from Chiral Perturbation Theory, Virial Expansion, and the Lattice
• Improved Unitarized Heavy Baryon Chiral Perturbation Theory for pion-nucleon Scattering to fourth order

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