The high temperature CP-restoring phase transition at theta = pi

Abstract

The CP-restoring phase transition at theta = pi and high temperature is investigated using two related models that aim to describe the low-energy phenomenology of QCD, the NJL model and the linear sigma model coupled to quarks. Despite many similarities between the models, different predictions for the order of the phase transition result. Using the Landau-Ginzburg formalism, the origin of this difference is traced back to a non-analytic vacuum term at zero temperature that is present in the NJL model, but usually not included in the linear sigma model. Due to the absence of explicit CP violation, this term always alters the qualitative aspects of the high temperature phase transition at theta = pi, just as for theta = 0 in the chiral limit.

11 pages, 1 eps figure; corrected various typos, added missing term in Eq. (13), conclusions unchanged, minor revisions to Sec. IA and III

References in corpus (3)

• Charge separation induced by P-odd bubbles in QCD matter
• Susceptibilities near the QCD (tri)critical point
• Spontaneous CP-violation in the strong interaction at theta = pi

Cited by in corpus (44)

• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• Vacuum fluctuations and the thermodynamics of chiral models
• Polyakov loop modeling for hot QCD
• Droplets in the cold and dense linear sigma model with quarks
• Electric-current Susceptibility and the Chiral Magnetic Effect
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Hot Quark Matter with an Axial Chemical Potential
• Structure of Lefschetz thimbles in simple fermionic systems
• Phase diagram of chirally imbalanced QCD matter
• QCD matter in extreme environments
• QCD-Collapsed Domain Walls: QCD Phase Transition and Gravitational Wave Spectroscopy
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Thermodynamics of (2+1)-flavor strongly interacting matter at nonzero isospin
• Phase diagram of Yang-Mills theories in the presence of a theta term
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• Theta vacuum effects on QCD phase diagram
• Influence of finite volume and magnetic field effects on the QCD phase diagram
• Quantum chromodynamics axion in a hot and magnetized medium
• Theta vacuum and entanglement interaction in the three-flavor Polyakov-loop extended Nambu-Jona-Lasinio model
• Dynamics of QCD Matter -- current status
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Effect of the chiral phase transition on axion mass and self-coupling
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• CP violation and chiral symmetry breaking in hot and dense quark matter in presence of magnetic field
• Axial anomaly and the three-flavor Nambu--Jona-Lasinio model with confinement: Constructing the QCD phase diagram
• Axion effects in the stability of hybrid stars
• Violations of parity and charge conjugation in the theta vacuum with imaginary chemical potential
• Chiral susceptibility in Nambu Jona Lasinio model: a Wigner function approach
• Quark Number Susceptibility : Revisited with Fluctuation-Dissipation Theorem in mean field theories
• In medium properties of axion within a Polyakov loop enhanced Nambu-Jona-Lasinio model
• Spontaneous parity and charge-conjugation violations at real isospin and imaginary baryon chemical potentials
• Studying explicit $U(1{)}_A$ symmetry breaking in hot and magnetised two flavour non-local NJL model constrained using lattice results
• QCD $\theta$-vacua from the chiral limit to the quenched limit
• Multifragmentation model for the production of astrophysical strangelets
• QCD topology and axion properties in an isotropic hot and dense medium
• Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
• Practical approach to the sign problem at finite theta-vacuum angle
• Axion effects on quark matter and quark-matter cores in massive hybrid stars
• A practical solution to the sign problem at finite theta-vacuum angle
• Chiral symmetry breaking and pion condensation in the early universe
• Functional renormalization group study of a four-fermion model with $CP$ violation
• First-order CP phase transition in two-flavor QCD at $\theta =\pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
• Semiclassical partition function for the double-well potential