Chiral Bargmann-Wigner Equations for Spin-1 Massive Fields

TL;DR

This paper extends the Bargmann-Wigner equations to include chiral symmetry for spin-1 massive fields, revealing a new coupling phenomenon with potential implications for Higgs and dark matter physics.

Contribution

It introduces chiral Bargmann-Wigner equations for spin-1 fields and uncovers a novel chirality coupling to a spin-0 field, linking to Higgs and dark matter.

Findings

Derived chiral Bargmann-Wigner equations for spin-1 fields

Reduced equations to Proca-like form in chiral basis

Identified a new chirality coupling with potential physical implications

Abstract

The Bargman-Wigner equations are generalized to include chiral symmetry based on the irreps of the Poincar\'{e} group, and the chirial Bargmann-Wigner equations are derived for spin-1 massive fields. By specifying the chiral basis, the chiral Bargmann-Wigner equations are reduced to the Proca-like equation, which is coupled by chirality to an auxiliary equation for spin-0 massive field. The coupling is a new phenomenon whose physical implications for the Higgs field and dark matter are discussed.