Chiral Dirac Equation and Its Spacetime and CPT Symmetries

• URL: http://arxiv.org/abs/2109.11015v1
• Date: Wed, 22 Sep 2021 20:07:35 GMT
• Title: Chiral Dirac Equation and Its Spacetime and CPT Symmetries
• Authors: Timothy B. Watson, Zdzislaw E. Musielak
• Abstract summary: The Dirac equation with chiral symmetry is derived using the irreducible representations of the Poincar'e group, the Lagrangian formalism, and a novel method of projection operators. The resulting equation is examined within the context of spacetime and CPT symmetries with a discussion of the implications for the general formulation of physical theories.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The Dirac equation with chiral symmetry is derived using the irreducible representations of the Poincar\'{e} group, the Lagrangian formalism, and a novel method of projection operators that takes as its starting point the minimal assumption of four linearly independent physical states. We thereby demonstrate the fundamental nature of this form of the Dirac equation. The resulting equation is then examined within the context of spacetime and CPT symmetries with a discussion of the implications for the general formulation of physical theories.

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