One-loop counterterms for higher derivative regularized Lagrangians

Abstract

We explicitly calculate one-loop divergences for an arbitrary field theory model using the higher derivative regularization and nonsingular gauge condition. They are shown to agree with the results found in the dimensional regularization and do not depend on the form of regularizing term. So, the consistency of the higher derivative regularization is proven at the one-loop level. The result for the Yang-Mills theory is reproduced.

10 pages, Latex, minor typos corrected

References in corpus (5)

• Higher covariant derivative regularization revisited
• Consistency of the Regularization of Gauge Theories by High Covariant Derivatives
• Higher covariant derivative Pauli-Villars regularization does not lead to a consistent QCD
• One-loop counterterms for the dimensional regularization of arbitrary Lagrangians
• One-loop background calculations in the general field theory

Cited by in corpus (15)

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• Derivation of the exact NSVZ beta-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
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• Calculation of two-loop beta-function for general N=1 supersymmetric Yang--Mills theory with the higher covariant derivative regularization
• One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization
• The NSVZ beta-function and the Schwinger-Dyson equations for N=1 SQED with N_f flavors, regularized by higher derivatives
• Renormalization of the asymptotically expanded Yang-Mills spectral action
• Two-loop renormalization of the Faddeev--Popov ghosts in $\mathcal{N}=1$ supersymmetric gauge theories regularized by higher derivatives
• Introduction to Redberry: a computer algebra system designed for tensor manipulation
• Renormalization of the spectral action for the Yang-Mills system
• Factorization of integrals, defining the beta-function, into integrals of total derivatives in N=1 SQED, regularized by higher derivatives
• Two-loop Gell-Mann-Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives
• A Note on the Quadratic Divergence in Hybrid Regularization
• Consistency of the Hybrid Regularization with Higher Covariant Derivative and Infinitely Many Pauli-Villars
• Equation for one-loop divergences in two dimensions and its application to higher spin fields