Analytical study of fermion determinant and chiral condensate behavior at finite temperatures in toy model approximation

Abstract

Fermion determinant is computed analytically on extremely large lattices in the toy model approximation in which action is truncated so that in the Hamiltonian limit of $a_{\tau }\to 0$ all terms of order $a_{\tau }/a_{\sigma }$ are discarded$.$ Chiral condensate is studied in the area of small ($m<<T$) quark masses.