Spontaneous P-violation in QCD in extreme conditions

Abstract

We investigate the possibility of parity being spontaneously violated in QCD at finite baryon density and temperature. The analysis is done for an idealized homogeneous and infinite nuclear matter where the influence of density can be examined with the help of constant chemical potential. QCD is approximated by a generalized sigma-model with two isomultiplets of scalars and pseudoscalars. The interaction with the chemical potential is introduced via the coupling to constituent quark fields as nucleons are not considered as point-like degrees of freedom in our approach. This mechanism of parity violation is based on interplay between lightest and heavier degrees of freedom and it cannot be understood in simple models retaining the pion and nucleon sectors solely. We argue that, in the appropriate environment (dense and hot nuclear matter of a few normal densities and moderate temperatures), parity violation may be the rule rather than the exception and its occurrence is well compatible with the existence of stable bound state of normal nuclear matter. We prove that the so called 'chiral collapse' never takes place for the parameter region supporting spontaneous parity violation.

9 pages

References in corpus (26)

• The effects of topological charge change in heavy ion collisions: "Event by event P and CP violation"
• QCD Phenomenology based on a Chiral Effective Lagrangian
• NJL-model analysis of dense quark matter
• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Diquark Bose Condensates in High Density Matter and Instantons
• Composition and Structure of Protoneutron Stars
• Parity violation in hot QCD: why it can happen, and how to look for it
• Charge separation induced by P-odd bubbles in QCD matter
• Possibility of spontaneous parity violation in hot QCD
• Chiral Phase Transition within Effective Models with Constituent Quarks
• On the Manifestation of Chiral Symmetry in Nuclei and Dense Nuclear Matter
• Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?
• Isospin Chemical Potential and the QCD Phase Diagram at Nonzero Temperature and Baryon Chemical Potential
• A calculation of the QCD phase diagram at finite temperature, and baryon and isospin chemical potentials
• Kaon Condensation in Dense Stellar Matter
• Pionic Measures of Parity and CP Violation in High Energy Nuclear Collisions
• Neutron star properties in the quark-meson coupling model
• The Problem of Matter Stability in the Nambu--Jona-Lasinio Model
• Pion condensation in electrically neutral cold matter with finite baryon density
• Pion condensation in quark matter with finite baryon density
• Quark structure and nuclear effective forces
• Lattice QCD at finite temperature and density
• Nucleons, Nuclear Matter and Quark Matter: A unified NJL approach
• On the possibility of P-violation at finite baryon-number densities
• Implications of CP-violating transitions in hot quark matter on heavy ion collisions
• QCD at Non-Zero Density : Lattice Results

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• Chemical potentials and parity breaking: the Nambu-Jona-Lasinio model
• Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• The axion shield
• Analysis of dilepton angular distributions in a parity breaking medium
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• Spontaneous breaking of chiral symmetry, and eventually of parity, in a $\sigma$-model with two Mexican hats
• Stellar matter with pseudoscalar condensates
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• Chiral perturbation theory vs. Linear Sigma Model in a chiral imbalance medium
• Searching for P- and CP-odd effects in heavy ion collisions