Consistency in Perturbative Calculations and Radiatively Induced Lorentz and CPT Violations

TL;DR

This paper investigates the origins of radiatively induced Lorentz and CPT violations in extended QED, demonstrating that consistent perturbative calculations do not support the existence of such violations, aligning with recent theoretical conjectures.

Contribution

It provides a general calculational framework that clarifies the sources of Lorentz and CPT violating terms and shows their absence under consistent perturbative methods.

Findings

No radiatively induced Lorentz and CPT violations are supported by consistent calculations.

The study clarifies the sources of potential violations in divergent amplitude manipulations.

Supports recent conjectures that such violations do not occur in a consistent perturbative framework.

Abstract

The origin of the radiatively induced Lorentz and CPT violations, in perturbative evaluations, of an extended version of QED, is investigated. Using a very general calculational method, concerning the manipulations and calculations involving divergent amplitudes, we clearly identify the possible sources of contributions for the violating terms. We show that consistency in the perturbative calculations, in a broader sense, leaves no room for the existence of radiatively induced contributions which is in accordance with what was previously conjectured and recently advocated by some authors supported on general arguments.