Chiral Dirac Equation and Its Spacetime and CPT Symmetries

Autor: Watson, Timothy B., Musielak, Zdzislaw E.
Rok vydání: 2021
Předmět:
Zdroj: Symmetry 2021, 13(9), 1608
Druh dokumentu: Working Paper
DOI: 10.3390/sym13091608
Popis: 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.
Databáze: arXiv