One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization

A bstract We consider a general non-Abelian renormalizable N = 1 supersymmetric gauge theory, regularized by higher covariant derivatives without breaking the BRST invariance, and calculate one-loop divergences for a general form of higher derivative regulator and of the gauge fixing term. It is dem...

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Published inThe journal of high energy physics Vol. 2016; no. 5; pp. 1 - 21
Main Authors Aleshin, S. S., Kazantsev, A. E., Skoptsov, M. B., Stepanyantz, K. V.
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.05.2016
Springer Nature B.V
Subjects
Approximation
Classical and Quantum Gravitation
Derivatives
Elementary Particles
Gages
Gauges
High energy physics
Integrals
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetry
Texts
Gauge Symmetry
Renormalization Regularization and Renormalons
Supersymmetric gauge theory
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Abstract A bstract We consider a general non-Abelian renormalizable N = 1 supersymmetric gauge theory, regularized by higher covariant derivatives without breaking the BRST invariance, and calculate one-loop divergences for a general form of higher derivative regulator and of the gauge fixing term. It is demonstrated that the momentum integrals giving the one-loop β -function are integrals of double total derivatives independently of a particular choice of the higher derivative term. Evaluating them we reproduce the well-known result for the one-loop β -function. Also we find that the three-point ghost vertices with a single line of the quantum gauge superfield are not renormalized in the considered approximation.
AbstractList A bstract We consider a general non-Abelian renormalizable N = 1 supersymmetric gauge theory, regularized by higher covariant derivatives without breaking the BRST invariance, and calculate one-loop divergences for a general form of higher derivative regulator and of the gauge fixing term. It is demonstrated that the momentum integrals giving the one-loop β -function are integrals of double total derivatives independently of a particular choice of the higher derivative term. Evaluating them we reproduce the well-known result for the one-loop β -function. Also we find that the three-point ghost vertices with a single line of the quantum gauge superfield are not renormalized in the considered approximation.
(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image).We consider a general non-Abelian renormalizable ... = 1 supersymmetric gauge theory, regularized by higher covariant derivatives without breaking the BRST invariance, and calculate one-loop divergences for a general form of higher derivative regulator and of the gauge fixing term. It is demonstrated that the momentum integrals giving the one-loop beta -function are integrals of double total derivatives independently of a particular choice of the higher derivative term. Evaluating them we reproduce the well-known result for the one-loop beta -function. Also we find that the three-point ghost vertices with a single line of the quantum gauge superfield are not renormalized in the considered approximation.
(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) Abstract We consider a general non-Abelian renormalizable ... = 1 supersymmetric gauge theory, regularized by higher covariant derivatives without breaking the BRST invariance, and calculate one-loop divergences for a general form of higher derivative regulator and of the gauge fixing term. It is demonstrated that the momentum integrals giving the one-loop [beta]-function are integrals of double total derivatives independently of a particular choice of the higher derivative term. Evaluating them we reproduce the well-known result for the one-loop [beta]-function. Also we find that the three-point ghost vertices with a single line of the quantum gauge superfield are not renormalized in the considered approximation.
ArticleNumber 14
Author Kazantsev, A. E.
Skoptsov, M. B.
Stepanyantz, K. V.
Aleshin, S. S.
Author_xml – sequence: 1
  givenname: S. S.
  surname: Aleshin
  fullname: Aleshin, S. S.
  organization: Moscow State University, Physical Faculty, Department of Theoretical Physics
– sequence: 2
  givenname: A. E.
  surname: Kazantsev
  fullname: Kazantsev, A. E.
  organization: Moscow State University, Physical Faculty, Department of Theoretical Physics
– sequence: 3
  givenname: M. B.
  surname: Skoptsov
  fullname: Skoptsov, M. B.
  organization: Moscow State University, Physical Faculty, Department of Theoretical Physics
– sequence: 4
  givenname: K. V.
  surname: Stepanyantz
  fullname: Stepanyantz, K. V.
  email: stepan@m9com.ru
  organization: Moscow State University, Physical Faculty, Department of Theoretical Physics
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SISSA, Trieste, Italy 2016
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Keywords Gauge Symmetry
Renormalization Regularization and Renormalons
Supersymmetric gauge theory
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Snippet A bstract We consider a general non-Abelian renormalizable N = 1 supersymmetric gauge theory, regularized by higher covariant derivatives without breaking the...
(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image) Abstract We consider a general non-Abelian renormalizable ... = 1 supersymmetric...
(ProQuest: ... denotes formulae and/or non-USASCII text omitted; see image).We consider a general non-Abelian renormalizable ... = 1 supersymmetric gauge...
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SubjectTerms Approximation
Classical and Quantum Gravitation
Derivatives
Elementary Particles
Gages
Gauges
High energy physics
Integrals
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supersymmetry
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Title One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization
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