Normalizability analysis of the generalized quantum electrodynamics from the causal point of view

TL;DR

This paper investigates the normalizability of generalized quantum electrodynamics using causal perturbation theory, emphasizing gauge invariance and deriving Ward-Takahashi-Fradkin identities to understand the model's consistency.

Contribution

It applies the causal approach to analyze the normalizability of generalized QED and explores the implications of gauge invariance within this framework.

Findings

Normalizability conditions established for the model

Ward-Takahashi-Fradkin identities derived from gauge invariance

Insights into the causal structure of generalized QED

Abstract

The causal perturbation theory is an axiomatic perturbative theory of the S-matrix. This formalism has as its essence the following axioms: causality, Lorentz invariance and asymptotic conditions. Any other property must be showed via the inductive method order-by-order and, of course, it depends on the particular physical model. In this work we shall study the normalizability of the generalized quantum electrodynamics in the framework of the causal approach. Furthermore, we analyse the implication of the gauge invariance onto the model and obtain the respective Ward-Takahashi-Fradkin identities.