T and C Symmetry Breaking in Algebraic Quantum Field Theory †
Faculty of Physics, Saint Petersburg State University, Ulyanovskaya Street, 1, 198504 Saint Petersburg, Russia
†
Presented at the 1st Electronic Conference on Universe, 22–28 February 2021. Available online: https://ecu2021.sciforum.net/ .
Phys. Sci. Forum 2021, 2(1), 15; https://doi.org/10.3390/ECU2021-09285
Published: 22 February 2021
(This article belongs to the Proceedings of The 1st Electronic Conference on Universe)
Abstract
:We have developed a quantum field theory of spinors based on the algebra of canonical anticommutation relations (CAR algebra). The proposed approach is based on the use of Grassmann densities in the momentum space and their derivatives with respect to the construction from these densities of both basis Clifford vectors of spacetime and the spinor vacuum. We have shown the existence of two vacua: normal and alternative. We have proven that CPT is the real structure operator in the theory of Krein spaces. C and T operators transform a normal vacuum into an alternative one, which leads to the breaking of these symmetries.
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MDPI and ACS Style
Monakhov, V. T and C Symmetry Breaking in Algebraic Quantum Field Theory. Phys. Sci. Forum 2021, 2, 15. https://doi.org/10.3390/ECU2021-09285
AMA Style
Monakhov V. T and C Symmetry Breaking in Algebraic Quantum Field Theory. Physical Sciences Forum. 2021; 2(1):15. https://doi.org/10.3390/ECU2021-09285
Chicago/Turabian StyleMonakhov, Vadim. 2021. "T and C Symmetry Breaking in Algebraic Quantum Field Theory" Physical Sciences Forum 2, no. 1: 15. https://doi.org/10.3390/ECU2021-09285
