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.

20 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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Cited by in corpus (4)

• Droplets in the cold and dense linear sigma model with quarks
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• Exploring the different phase diagrams of Strong Interactions
• Effects of (axial)vector mesons on the chiral phase transition: initial results