Further Study On U(1) Gauge Invariance Restoration

TL;DR

This paper investigates a projection scheme to eliminate unphysical divergences caused by U(1) gauge invariance violation in high-energy particle processes, confirming its effectiveness through analysis of a specific scattering process.

Contribution

The study demonstrates that the projection scheme effectively removes unphysical divergences from U(1) gauge invariance violations and is applicable at very high energies.

Findings

Projection scheme removes unphysical divergence s/m_e^2

Scheme is effective at very high energies

Applicable to processes with U(1) gauge invariance issues

Abstract

To further investigate the applicability of the projection scheme for eliminating the unphysical divergence $s/m_e^2$ due to U(1) gauge invariance violation, we study the process $e^-+W^+\to e^-+\bar t+b$ which possesses advantages of simplicity and clearness. Our study indicates that the projection scheme can indeed eliminate the unphysical divergence $s/m_e^2$ caused by the U(1) gauge invariance violation and the scheme can apply to very high energy region.