Third Order Anomalies in the Causal Approach

TL;DR

This paper investigates third-order anomalies in gauge models within the causal approach, focusing on the detailed analysis of distribution splitting relevant to both tree and loop anomalies in perturbation theory.

Contribution

It provides a detailed analysis of third-order anomalies in gauge models using the causal approach, emphasizing the causal splitting of distributions for tree and loop anomalies.

Findings

Identification of conditions for anomaly cancellation

Explicit computation of third-order anomalies

Insights into distribution splitting in perturbation theory

Abstract

We consider gauge models in the causal approach and study the third order of the perturbation theory. We are interested in the computation of the anomalies in this order of the perturbation theory and for this purpose we analyse in detail the causal splitting of the distributions with causal support relevant to tree and loop anomalies.