Chiral Bargmann-Wigner Equations for Spin-1 Massive Fields

T. B. Watson; Z. E. Musielak

doi:10.1142/s021773232150276x

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arXiv · 2108.04687

Chiral Bargmann-Wigner Equations for Spin-1 Massive Fields

T. B. Watson·Z. E. Musielak

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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.

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T. B. Watson, Z. E. Musielak. 2021-06-10. Chiral Bargmann-Wigner Equations for Spin-1 Massive Fields. https://doi.org/10.1142/s021773232150276x

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