On the calculation of the two-point function for the thirring-model by the method of functional integration

Abstract

By the method of functional integration the two-point functionS _F for the spinor model with the interaction$- \lambda (\bar \psi \psi )^2$ is calculated in a two-dimensional space-time. After Fourier-transformationS _F (p) results as a power series with respect to 1/√λ. If we change the order of terms, we get a series in powers of γp. Each coefficient is a series in powers of 1/√λ. The first terms of this series are considered as a good approximation for bigλ. By reasons of convergence of the integrals we must displace the expansion centre of the series in powers ofγ p fromp ²=0 top ²=a ².