Abstract
The Polyakov loop is included in the SU(2)_L x SU(2)_R chiral quark-meson model by considering the propagation of the constituent quarks, coupled to the (sigma,pi) meson multiplet, on the homogeneous background of a temporal gauge field, diagonal in color space. The model is solved at finite temperature and quark baryon chemical potential both in the chiral limit and for the physical value of the pion mass by using an expansion in the number of flavors N_f. Keeping the fermion propagator at its tree-level, a resummation on the pion propagator is constructed which resums infinitely many orders in 1/N_f, where O(1/N_f) represents the order at which the fermions start to contribute in the pion propagator. The influence of the Polyakov loop on the tricritical or the critical point in the mu_q-T phase diagram is studied for various forms of the Polyakov loop potential.
Highlights
The low-energy effective models of the QCD, such as the Nambu–Jona-Lasinio (NJL) model and the chiral quarkmeson model (QM), are based on the global chiral symmetry of the QCD
In this contribution we review the results on the μq − T phase diagram obtained in [7] as a result of including different forms of the effective Polyakov loop potential, as compared to those previously obtained in [8] in the chiral limit of the two flavor QM using the resummation of the perturbative series provided by the large-N f approximation
Using the tree-level fermion propagator and some approximations for the self-consistent pion propagator obtained within a large-N f expansion, we studied in the S U(2)L × S U(2)R chiral quark-meson model, in the chiral limit and for the physical value of the pion mass, the influence of the Polyakov loop on the chiral phase transition
Summary
The low-energy effective models of the QCD, such as the Nambu–Jona-Lasinio (NJL) model and the chiral quarkmeson model (QM), are based on the global chiral symmetry of the QCD. The effect of including the quantum fluctuation in the PQM model was recently studied in [4–6] using functional renormalization group methods and in [7], where it was shown that the inclusion of the fluctuations has a significant effect on the location of the CEP, which is pushed to higher values of μq In this contribution we review the results on the μq − T phase diagram obtained in [7] as a result of including different forms of the effective Polyakov loop potential, as compared to those previously obtained in [8] in the chiral limit of the two flavor QM using the resummation of the perturbative series provided by the large-N f approximation. Starting with the Φ-derivable formalism, the approximations done to parametrize and solve the model are discussed
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