The Abelian Antighost Equation for The Standard Model in the `t Hooft-Background Gauge

TL;DR

This paper investigates the Abelian Anti-ghost equation within the Standard Model using the 't Hooft-Background gauge, demonstrating its role in ensuring ghost field non-renormalization and anomaly prevention.

Contribution

It establishes the non-renormalization of abelian ghost fields and the absence of abelian anomalies through the Abelian Anti-ghost equation in this gauge.

Findings

Non-renormalization of abelian ghost fields

Prevention of abelian anomalies

Validation of the Abelian Anti-ghost equation's role

Abstract

In this paper we study the Abelian Anti-ghost equation for the Standard Model quantized in the 't Hooft-Background gauge. We show that this equation assures the non-renormalization of the abelian ghost fields and prevents possible abelian anomalies.