Schwinger Equation as Singularly Perturbed Equation
High Energy Physics - Theory
2016-09-06 v1
Abstract
A new approximation scheme for non-perturbative calculations in a quantum field theory is proposed. The scheme is based on investigation of solutions of the Schwinger equation with its singular character taken into account. As a necessary supplementary boundary condition the Green functions' connected structures correspondence principle is used. Besides the usual perturbation theory expansion which is always available as a particular solution of our scheme some non-perturbative solutions of an equation for the propagator are found in the model of a self-interacting scalar field.
Cite
@article{arxiv.hep-th/9502142,
title = {Schwinger Equation as Singularly Perturbed Equation},
author = {V. E. Rochev and P. A. Saponov},
journal= {arXiv preprint arXiv:hep-th/9502142},
year = {2016}
}
Comments
16 pages, plain LaTex, no figures.