Functional integrals and correlation functions in the sine-Gordon-Thirring model with gravity correction

Abstract

The correlation functions in the sine-Gordon-Thirring model with gravity correction are studied by means of the functional integrals method. The effective action of the one-dimensional model in two-dimensional curved space-time is derived from a perturbation expansion of the functional determinant. In addition, the fourth-order correlation function on a two-dimensional black hole background with Fermi condensation coupling is calculated in the weak-coupling limit, and it can be expressed as a power series in temperature. The relationship between correlation functions and black hole radiation is discussed and analyzed.