Square-roots, internal symmetries, and fermion field quantization
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It is observed that the complex square-root of the hermitian matrix σμpμ associated with a physical four-momentum admits Lorentz-independent unitary transformations that may be related to the internal symmetries of hadrons. An operator-valued square-root of the Hilbert space inner product in relativistic one-electron theory brings in fermion field quantization conditions as a direct concomitant of its linearity and hermicity properties.
KeywordsHilbert Space Field Theory Elementary Particle Quantum Field Theory Quantization Condition
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- Perlis, S. (1952).Theory of Matrices, p. 203. Addison-Wesley, Cambridge, Massachusetts.Google Scholar
- Rosen, G. (1969).Formulations of Classical and Quantum Dynamical Theory, Appendix A. Academic Press, New York.Google Scholar
- Schweber, S. S. (1962).Introduction to Relativistic Quantum Field Theory. Harper and Row, New York.Google Scholar