Chiral and deconfinement transitions in strong coupling lattice QCD with finite coupling and Polyakov loop effects

Abstract

We investigate chiral and deconfinement transitions in the framework of the strong coupling lattice QCD for color SU(3) with one species of unrooted staggered fermion at finite temperature and quark chemical potential. We take account of the leading order Polyakov loop terms as well as the next-to-next-to-leading order (1/g^4) fermionic terms of the strong coupling expansion in the effective action. We investigate the Polyakov loop effects by comparing two approximation schemes, a Haar measure method (no fluctuation from the mean field) and a Weiss mean-field method (with fluctuations). The effective potential is obtained in both cases, and we analytically clarify the Polyakov loop contributions to the effective potential. The Polyakov loop is found to suppress the chiral condensate and to reduce the chiral transition temperature at mu=0, and the chiral transition temperature roughly reproduces the Monte Carlo results at beta=2N_c/g^2 \lesssim 4. The deconfinement transition is found to be the crossover and first order for light (am_0 \lesssim 4 at beta=4) and heavy quark masses, respectively.

arXiv comment13 pages, 15 figures. v2; More dicussions added, figures improved, and typos corrected

References in corpus (41)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• QCD Phenomenology based on a Chiral Effective Lagrangian
• Color superconductivity in dense quark matter
• 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
• Is there still any Tc mystery in lattice QCD? Results with physical masses in the continuum limit III
• Phases of Dense Quarks at Large N_c
• The QCD transition temperature: results with physical masses in the continuum limit II.
• The QCD thermal phase transition in the presence of a small chemical potential
• Equation of state and QCD transition at finite temperature
• Finite density QCD via imaginary chemical potential
• Random matrix theory and spectral sum rules for the Dirac operator in QCD
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• A new method to study lattice QCD at finite temperature and chemical potential
• The transition temperature in QCD
• Polyakov loop in chiral quark models at finite temperature
• Lattice QCD at Finite Density -- An introductory review
• Results from the Relativistic Heavy Ion Collider
• Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
• Baryons and the phase diagram for a large number of colors and flavors
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Nuclear Physics from lattice QCD at strong coupling
• Phase structures of strong coupling lattice QCD with finite baryon and isospin density
• Relation between the Polyakov loop and the chiral order parameter at strong coupling
• Model study of the sign problem in the mean-field approximation
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order
• The pressure of strong coupling lattice QCD with heavy quarks, the hadron resonance gas model and the large N limit
• Chiral Gap and Collective Excitations in Monolayer Graphene from Strong Coupling Expansion of Lattice Gauge Theory
• Effects of chiral restoration on the behaviour of the Polyakov loop at strong coupling
• Phase diagram at finite temperature and quark density in the strong coupling limit of lattice QCD for color SU(3)
• Thermodynamics of strong coupling 2-color QCD with chiral and diquark condensates
• The deconfinement transition of finite density QCD with heavy quarks from strong coupling series
• Strong coupling expansion for finite temperature Yang-Mills theory in the confined phase
• Quarkyonic matter in lattice QCD at strong coupling
• Phase diagram evolution at finite coupling in strong coupling lattice QCD
• Toward understanding the lattice QCD results from the strong coupling analysis
• Lattice QCD at non-zero chemical potential and the resonance gas model
• Diquark condensation at strong coupling
• Effective Potential in the Strong-coupling Lattice QCD with Next-to-Next-to-Leading Order Effects
• Entropy per Baryon in Strong Coupling QCD

Cited by in corpus (16)

• The lattice QCD phase diagram in and away from the strong coupling limit
• Hot Quark Matter with an Axial Chemical Potential
• The Critical End Point of Quantum Chromodynamics Detected by Chirally Imbalanced Quark Matter
• Centre symmetric 3d effective actions for thermal SU(N) Yang-Mills from strong coupling series
• QCD phase diagram at finite baryon and isospin chemical potentials in Polyakov loop extended quark meson model with vector interaction
• Possibility of QCD critical point sweep during black hole formation
• Nuclear chiral dynamics and phases of QCD
• QCD phase diagram with 2-flavor lattice fermion formulations
• Axial anomaly and the three-flavor Nambu--Jona-Lasinio model with confinement: Constructing the QCD phase diagram
• Chiral symmetry in strongly interacting matter
• Complex spectrum of finite-density lattice QCD with static quarks at strong coupling
• Phase structure of monolayer graphene from effective U(1) gauge theory on honeycomb lattice
• Net baryon number fluctuations across the chiral phase transition at finite density in the strong coupling lattice QCD
• Polyakov loop effects on the phase diagram in strong-coupling lattice QCD
• Auxiliary field Monte-Carlo simulation of strong coupling lattice QCD for QCD phase diagram
• Fluctuation effects on QCD phase diagram at strong coupling