Lorentz Invariant Equations for Multiplets and Their Gauge

2025/06/17 by Mayer Humi, Humi, Mayer · 1 voice
Physics and Astronomy · #58J70 83A99 #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.2507.02875

Abstract

This paper explores the existence of kinematical gauge transformations for Lorentz invariant equations which describe a multiplet of two spin (1)/(2) particles. For this multiplet the additional gauge invariance can be in form of three different groups of transformation. This gauge is absent when the particles are treated separately. Some basic properties of the solutions for these "multiplet equations" are analyzed.

Citations

• The Dirac Equation Near Centenary: a Contemporary Introduction to the Dirac Equation Consideration
• The symmetry approach to quark and lepton masses and mixing
• Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches
• PT-symmetric quantum mechanics

Discussions

• Mayer Humi: Lorentz Invariant Equations for Multiplets and Their Gauge https://arxiv.org/abs/2507.02875 https://arxiv.org/pdf/2507.02875 https://arxiv.org/html/2507.02875 [bsky, 0 points, 0 comments]

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