Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-12-29
Phys.Rev. D85 (2012) 036001
Physics
High Energy Physics
High Energy Physics - Phenomenology
21 pages, 5 figures; PRD version
Scientific paper
10.1103/PhysRevD.85.036001
We consider a two flavor Polyakov--Nambu--Jona-Lasinio (PNJL) model where the Lagrangian includes an interaction term that explicitly breaks the U$_A(1)$ anomaly. At finite temperature, the restoration of chiral and axial symmetries, signaled by the behavior of several observables, is investigated. We compare the effects of two regularizations at finite temperature, one of them, that allows high momentum quarks states, leading to the full recovery of chiral symmetry. From the analysis of the behavior of the topological susceptibility and of the mesonic masses of the axial partners, it is found in the SU(2) model that, unlike the SU(3) results, the recovery of the axial symmetry is not a consequence of the full recovery of the chiral symmetry. Thus, one needs to use an additional idea, by means of a temperature dependence of the anomaly coefficient, that simulates instanton suppression effects.
Costa Pedro
de Sousa Célia A.
Ruivo Maria C.
Santos Marcelo M.
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