Anomalous dimensions and the renormalizability of the four-fermion interaction

We show that when the dynamical dimension of the ψ¯ψ operator is reduced from three to two in a fermion electrodynamics with scaling, a g(ψ¯ψ)2+g(ψ¯iγ5ψ)2 four-fermion interaction which is dressed by this electrodynamics becomes renormalizable. In the fermion–antifermion scattering amplitude every t...

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Bibliographic Details
Main Author: Philip D. Mannheim
Format: Article
Language:English
Published: Elsevier 2017-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269317306895