High-momentum asymptotics from the Fock-Feynman- Schwinger path integral

TL;DR

This paper derives high-momentum asymptotics of n-point Green's functions using the Fock-Feynman-Schwinger representation, applying it to gauge theories like QCD and QED, and includes nonperturbative effects such as confinement corrections.

Contribution

It introduces a method to obtain asymptotics of Green's functions in exponentiated form using the Fock-Feynman-Schwinger approach, applicable to gauge theories and incorporating nonperturbative effects.

Findings

Calculated Sudakov form-factor in QED.

Derived meson form-factor in QCD.

Included confinement corrections nonperturbatively.

Abstract

The asymptotics of n-point Green's function at large external momenta is obtained in the exponentiated form using the Fock-Feynman-Schwinger representation for propagators in the external field. The method is applied to gauge theories such as QCD and QED, and the Sudakov form-factor is calculated as an example in QED and meson form-factor in QCD. Nonperturbative contributions can be conveniently included, as it is demonstrated in the example of the confinement correction to the form-factor.