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

Source: [Topological susceptibility at zero and finite temperature in the Nambu-Jona-Lasinio model](<https://www.sota2.com/research/paper/68fa258b2c2a3760193b14c1>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T10:47:11.431Z

Authors: K. Ohnishi, K. Fukushima, K. Ohta

Published: 2001-01-29T07:55:27.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/nucl-th/0101062>)

[PDF](<https://arxiv.org/pdf/nucl-th/0101062.pdf>)