Revisiting on-shell renormalization conditions in theories with flavor mixing

DOI10.1142/S0217751X16300386zbMATH Open1350.81023arXiv1606.06191OpenAlexW3101652685MaRDI QIDQ2828589

Publication date: 26 October 2016

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Abstract: In this review, we present a derivation of the on-shell renormalization conditions for scalar and fermionic fields in theories with and without parity conservation. We also discuss the specifics of Majorana fermions. Our approach only assumes a canonical form for the renormalized propagators and exploits the fact that the inverse propagators are non-singular in

v a r e p s i l o n = p^{2} - m_{n}^{2}

, where

p

is the external four-momentum and

m_{n}

is a pole mass. In this way, we obtain full agreement with commonly used on-shell conditions. We also discuss how they are implemented in renormalization.

Full work available at URL: https://arxiv.org/abs/1606.06191

zbMATH Keywords

renormalization flavor mixing on-shell renormalization conditions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Strong interaction, including quantum chromodynamics (81V05) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Research exposition (monographs, survey articles) pertaining to quantum theory (81-02)

This page was built for publication: Revisiting on-shell renormalization conditions in theories with flavor mixing