NJL Model with Dimensional Regularization at Finite Temperature

We consider two and three flavor Nambu–Jona-Lasinio (NJL) model at finite temperature by using the dimensional regularization. It is known that physical results produced by the NJL model depend on the method of regularization (Fujihara et al. Prog. Theor. Phys. Suppl. 174, 72 (2008), Phys. Rev. D 79, 096008 (2009)). In the dimensional regularization scheme we regard the space-time dimensions as one of the parameters in the effective theory. We obtain the η meson mass and the topological susceptibility in such regularization and compare the results with ones obtained in the cut-off regularization.