Topological susceptibility at zero and finite temperature in the Nambu-Jona-Lasinio model

Abstract

We consider the three flavor Nambu-Jona-Lasinio model with the 't Hooft interaction incorporating the U(1)_A anomaly. In order to set the coupling strength of the 't Hooft term, we employ the topological susceptibility $\chi$ instead of the eta' meson mass. The value for $\chi$ is taken from lattice simulations. We also calculate $\chi$ at finite temperature within the model. Comparing it with the lattice data, we extract information about the behavior of the U(1)_A anomaly at finite temperature. We conclude that within the present framework, the effective restoration of the U(1)_A symmetry does not necessarily take place even at high temperature where the chiral symmetry is restored.

9 pages, 14 figures, to be published in Phys.Rev.C

References in corpus (1)

• Effective Restoration of the U_A(1) symmetry in the SU(3) linear sigma model

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