Consideration of Covariant Quantization of Electromagnetic Field

TL;DR

This paper proposes a covariant quantization method for electromagnetic fields using an extended Lorentz gauge, resolving inconsistencies and eliminating the need for subsidiary conditions, thereby clarifying quantum phenomena interpretation.

Contribution

It introduces a novel covariant quantization approach that avoids traditional inconsistencies and simplifies the interpretation of quantum electromagnetic phenomena.

Findings

Resolves inconsistency between Lorentz gauge and commutation relations

Eliminates need for subsidiary conditions and auxiliary fields

Provides a clearer interpretation of quantum phenomena

Abstract

We examine a covariant quantization of electromagnetic fields by using an operator derived from a constant scalar that can be called extended Lorentz gauge. The quantization can avoid an inconsistency between Lorentz gauge and a commutation relation, which can eliminate the need for introduction of physical state defined by a subsidiary condition and auxiliary field in Lagrangian density in Lorentz gauge. By using this quantization and indefinite metric straightforwardly, all quantum phenomena can be provided without enigmatic and paradoxical "probability interpretation".