Schwinger Equation as Singularly Perturbed Equation

Details Schwinger Equation as Singularly Perturbed Equation Schwinger Equation as Singularly Perturbed Equation

1995-02-24

arxiv.org/abs/hep-th/9502142v1

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, plain LaTex, no figures.

Scientific paper

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.

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