Influence of the Polyakov loop on the chiral phase transition in the two flavor chiral quark model

Abstract

The SU(2)_L x SU(2)_R chiral quark model consisting of the (sigma,pi) meson multiplet and the constituent quarks propagating on the homogeneous background of a temporal gauge field is solved at finite temperature and quark baryon chemical potential mu_q using an expansion in the number of flavors N_f, both in the chiral limit and for the physical value of the pion mass. Keeping the fermion propagator at its tree-level, several approximations to the pion propagator are investigated. These approximations correspond to different partial resummations of the perturbative series. Comparing their solution with a diagrammatically formulated resummation relying on a strict large-N_f expansion of the perturbative series one concludes that only when the local part of the approximated pion propagator resums infinitely many orders in 1/N_f of fermionic contributions a sufficiently rapid crossover transition at mu_q=0 is achieved allowing for the existence of a tricritical point or a critical end point in the mu_q-T phase diagram. The renormalization and the possibility of determining the counterterms in the resummation provided by a strict large-N_f expansion are investigated.

arXiv comment20 pages, 7 figures, 5 graphs, and 3 tables; uses revtex4-1, minor corrections and investigation of the influence of the pion-fermion setting-sun integral on the field equations for the Polyakov loop and its conjugate. Version published in the Phys. Rev. D journal

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• Droplets in the cold and dense linear sigma model with quarks
• Existence of the critical endpoint in the vector meson extended linear sigma model
• Chiral transition in a magnetic field and at finite baryon density
• Revisiting the Phase Structure of the Polyakov-quark-meson Model in the presence of Vacuum Fermion Fluctuation
• A perturbative study of the QCD phase diagram for heavy quarks at nonzero chemical potential: two-loop corrections
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• Polyakov-Nambu-Jona-Lasinio phase diagrams and quarkyonic phase from order parameters
• Comparing symmetry restoration trends for meson masses and mixing angles in the QCD-like three quark flavor models
• Exploring axial $U(1)$ restoration in a modified 2+1 flavor Polyakov quark meson model
• Exploring criticality in the QCD-like two quark flavour models
• On the symmetry improved CJT formalism in the $O(4)$ linear sigma model
• Spontaneous CP violation in quark scattering from QCD Z(3) interfaces
• Nontopological Soliton in the Polyakov Quark Meson Model
• On-shell versus curvature mass parameter fixing schemes in the quark-meson model and its phase diagrams
• Chiral symmetry breaking patterns in the U_L(n)xU_R(n) meson model
• Exploring the different phase diagrams of Strong Interactions
• Finite temperature symmetry restoration in the U_L(3)xU_R(3) linear sigma model from a large-n approximation
• Chiral symmetry breaking and pion condensation in the early universe
• Effects of (axial)vector mesons on the chiral phase transition: initial results
• Transport coefficients of chiral fluid dynamics using low-energy effective models
• The scalar sunset diagram at finite temperature with imaginary square masses