First order formalism for spin one fields

TL;DR

This paper introduces a first order formalism that unifies vector and antisymmetric tensor descriptions of spin one particles, providing a comprehensive effective chiral Lagrangian framework.

Contribution

It proposes a new first order formalism that connects traditional vector and tensor approaches, enhancing the description of spin one fields in effective theories.

Findings

Unified formalism connecting vector and tensor descriptions

More general effective chiral Lagrangian including both formalisms

Clarified equivalence and differences between traditional approaches

Abstract

We study two general approaches how to describe spin one particles, using vector and antisymmetric tensor fields within RChT. In this paper we focus on the question of an equivalence of both ways. The appearing problems lead us to the introduction of a new type of the description - the first order formalism which naturally connects both traditional formalisms. Moreover, it gives a more general result on the level of the effective chiral Lagrangian that contain all terms from effective chiral Lagrangians in vector and antisymmetric tensor formulations.