Euclidean field theory and singular classical field configurations

TL;DR

This paper proposes using Euclidean field theory on a 4D sphere to analyze high-energy multiparticle production, identifying singular classical configurations in scalar and gauge theories, and calculating cross sections with a maximum near sphaleron energy.

Contribution

It introduces a novel approach with Euclidean field theory on a 4D sphere for studying multiparticle production and finds singular configurations and cross section behaviors.

Findings

Singular classical configurations are identified in scalar and SU(2) gauge theories.

The cross section for 2->n processes peaks near the sphaleron mass.

A new method for analyzing high-energy multiparticle processes is proposed.

Abstract

Euclidean field theory on 4-dimensional sphere is suggested for the study of high energy multiparticle production. The singular classical field configurations are found in scalar and SU(2)-gauge theories and the cross section of 2->n processes is calculated. It is shown,that the cross section has a maximum at the energy compared to the sphaleron mass.