Two-loop renormalization of the Faddeev--Popov ghosts in \({\cal N}=1\) supersymmetric gauge theories regularized by higher derivatives

For the general renormalizable \({\cal N}=1\) supersymmetric gauge theory we investigate renormalization of the Faddeev--Popov ghosts using the higher covariant derivative regularization. First, we find the two-loop anomalous dimension defined in terms of the bare coupling constant in the general \(...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2018-05
Main Authors: Kazantsev, A E, Kuzmichev, M D, Meshcheriakov, N P, Novgorodtsev, S V, Shirokov, I E, Skoptsov, M B, Stepanyantz, K V
Format: Article
Language:English
Subjects:
Coupling
Dependence
Gauge theory
Ghosts
Regularization
Subtraction
Supersymmetry
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:For the general renormalizable \({\cal N}=1\) supersymmetric gauge theory we investigate renormalization of the Faddeev--Popov ghosts using the higher covariant derivative regularization. First, we find the two-loop anomalous dimension defined in terms of the bare coupling constant in the general \(\xi\)-gauge. It is demonstrated that for doing this calculation one should take into account that the quantum gauge superfield is renormalized in a nonlinear way. Next, we obtain the two-loop anomalous dimension of the Faddeev--Popov ghosts defined in terms of the renormalized coupling constant and examine its dependence on the subtraction scheme.
ISSN:2331-8422
DOI:10.48550/arxiv.1805.03686