Discrete symmetries and the propagator approach to coupled fermions in Quantum Field Theory. Generalities. The case of a single fermion-antifermion pair.Report as inadecuate




Discrete symmetries and the propagator approach to coupled fermions in Quantum Field Theory. Generalities. The case of a single fermion-antifermion pair. - Download this document for free, or read online. Document in PDF available to download.

1 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

Abstract : Starting from Wigner-s symmetry representation theorem, we give a general account of discrete symmetries parity P, charge conjugation C, time-reversal T, focusing on fermions in Quantum Field Theory. We provide the rules of transformation of Weyl spinors, both at the classical level grassmanian wave functions and quantum level operators. Making use of Wightman-s definition of invariance, we outline ambiguities linked to the notion of classical fermionic Lagrangian. We then present the general constraints cast by these transformations and their products on the propagator of the simplest among coupled fermionic system, the one made with one fermion and its antifermion. Last, we put in correspondence the propagation of C eigenstates Majorana fermions and the criteria cast on their propagator by C and CP invariance.

keyword : spinors discrete symmetries propagator





Author: Quentin Duret - Bruno Machet -

Source: https://hal.archives-ouvertes.fr/



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