OZI violating eight-quark interactions as a thermometer for chiral transitions

Abstract

This work is a follow-up of our recent observation that in the SU(3) flavor limit with vanishing current quark masses the temperature for the chiral transition is substantially reduced by adding eight-quark interactions to the Nambu - Jona-Lasinio Lagrangian with U_A(1) breaking. Here we generalize the case to realistic light and strange quark masses and confirm our prior result. Additionally, we demonstrate that depending on the strength of OZI violating eight-quark interactions, the system undergoes either a rapid crossover or a first order phase transition. The meson mass spectra of the low lying pseudoscalars and scalars at T=0 are not sensitive to the difference in the parameter settings that correspond to these two alternatives, except for the singlet-octet mixing scalar channels, mainly the sigma meson.

LaTeX, 5 pages, 3 figures

References in corpus (24)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• QCD Phenomenology based on a Chiral Effective Lagrangian
• Chiral effective model with the Polyakov loop
• The QCD transition temperature: results with physical masses in the continuum limit
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Polyakov loop in chiral quark models at finite temperature
• Mesonic correlation functions at finite temperature and density in the Nambu-Jona-Lasinio model with a Polyakov loop
• Chiral Symmetry Restoration at Nonzero Temperature in the SU(3) \times SU(3) Linear Sigma Model
• Phase transitions in quantum chromodynamics
• Multi-quark interactions with a globally stable vacuum
• Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
• Chiral phase transition in an extended NJL model with higher-order multi-quark interactions
• Strong and Radiative Meson Decays in a Generalized Nambu--Jona-Lasinio Model
• Dynamical chiral symmetry breaking by a magnetic field and multi-quark interactions
• Generalized Proper-Time Approach For The Case Of Broken Isospin Symmetry
• Lowering the critical temperature with eight-quark interactions
• Vacuum replicas in QCD
• Large Mass Invariant Asymptotics of the Effective Action
• Inverse Mass Expansion of the One-Loop Effective Action
• Long distance expansion for the NJL model with SU(3) and U_A(1) breaking
• U_A(1) symmetry breaking, scalar mesons and the nucleon spin problem in an effective chiral field theory
• U_A(1) Breaking Effects on the Light Scalar Meson Spectrum
• The Quantum and Local Polyakov loop in Chiral Quark Models at Finite Temperature
• Mesons and tachyons with confinement and chiral restoration, and NA60

Cited by in corpus (23)

• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Entanglement between deconfinement transition and chiral symmetry restoration
• Phase diagram in the imaginary chemical potential region and extended Z3 symmetry
• Determination of QCD phase diagram from the imaginary chemical potential region
• QCD phase diagram at finite baryon and isospin chemical potentials
• Deconfinement, chiral symmetry restoration and thermodynamics of (2+1)--flavor hot QCD matter in an external magnetic field
• The phase diagram for the Nambu--Jona-Lasinio model with 't Hooft and eight-quark interactions
• Heavy hybrid stars from multi-quark interactions
• Thermodynamic potential with correct asymptotics for PNJL model
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Strange quark matter in the presence of explicit symmetry breaking interactions
• Nonuniform phases in a three-flavor Nambu--Jona-Lasinio model
• Vacuum polarization corrections to low energy quark effective couplings
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Phase Diagram, Scalar-Pseudoscalar Meson Behavior and Restoration of Symmetries in (2+1) Polyakov-Nambu-Jona-Lasinio Model
• SU(2) higher-order effective quark interactions from polarization
• Effects of Quark Interactions on Dynamical Chiral Symmetry Breaking by a Magnetic Field
• One-meson-loop NJL model: Effect of collective and noncollective excitations on the quark condensate at finite temperature
• Masses of the lowest spin-0 and spin-1 meson nonets: explicit symmetry breaking effects
• Thermodynamical properties of strongly interacting matter in a model with explicit chiral symmetry breaking interactions
• $U_A(1)$ symmetry breaking quark interactions from vacuum polarization
• Nonuniform phases in the 't Hooft extended Nambu--Jona-Lasinio Model
• Eight-quark interactions as a chiral thermometer