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Mixing of Fermions and Spectral Representation of Propagator by Kaloshin, A. E.; Lomov, V. P. is a scholarly article available to read on EtoBox.

What is Mixing of Fermions and Spectral Representation of Propagator about?

We develop the spectral representation of propagator for $n$ mixing fermion fields in the case of $\mathsf{P}$-parity violation. The approach based on the eigenvalue problem for inverse matrix propagator makes possible to build the system of orthogonal projectors and to represent the matrix propagator as a sum of poles with positive and negative energies. The procedure of multiplicative renormalization in terms of spectral representation is investigated and the renormalization matrices are obtained in a closed form without the use of perturbation theory. Since in theory with $\mathsf{P}$-parity violation the standard spin projectors do not commute with the dressed propagator, they should be modified. The developed approach allows us to build the modified (dressed) spin projectors for a single fermion and for a system of fermions.

Author

Kaloshin, A. E.; Lomov, V. P.

Published

2015

Language

EN