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Topological susceptibility at zero and finite temperature in the Nambu-Jona-Lasinio model
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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.
Forward citations
Cited by 2 Pith papers
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Topological susceptibility and axion properties in the presence of a strong magnetic field within the three-flavor NJL model
In a three-flavor NJL model, the topological susceptibility and axion self-coupling grow with magnetic field at low temperature and drop sharply at the chiral transition, with finite-density effects captured via a B-d...
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CP violation in cold dense quark matter and axion effects on the non-radial oscillations of neutron stars
Using a 3-flavor NJL model with axions, the authors find that a CP-violating angle theta=pi reduces the chiral transition density and, with a vector repulsion, yields stable hybrid neutron stars with enhanced f-mode o...
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