Renormalizability of generalized quantum electrodynamics

TL;DR

This paper investigates the renormalizability of Generalized Quantum Electrodynamics (GQED4), calculating counter-terms, analyzing infrared behavior, and using experimental data to constrain theory parameters.

Contribution

It provides a detailed one-loop renormalization analysis of GQED4, including counter-term calculations and parameter constraints from experimental data.

Findings

Counter-terms explicitly calculated at one-loop

Infrared behavior of GQED4 discussed

Experimental bounds on theory parameters derived

Abstract

In this work we present the study of the renormalizability of the Generalized Quantum Electrodynamics ($GQED_{4}$). We begin the article by reviewing the on-shell renormalization scheme applied to $GQED_{4}$. Thereafter, we calculate the explicit expressions for all the counter-terms at one-loop approximation and discuss the infrared behavior of the theory as well. Next, we explore some properties of the effective coupling of the theory which would give an indictment of the validity regime of theory: $m^{2} \leq k^{2} < m_{P}^{2}$. Afterwards, we make use of experimental data from the electron anomalous magnetic moment to set possible values for the theory free parameter through the one-loop contribution of Podolsky mass-dependent term to Pauli's form factor $F_{2}(q^{2})$.