Higher covariant derivative regularization revisited

Abstract

The method of higher covariant derivative regularization of gauge theories is reviewed. The objections raised in the literature last years are discussed and the consistency of the method is proven. New approach to regularization of overlapping divergencies is developped.

14 pages, latex, 1 figure

Cited by in corpus (47)

• Fundamentals of the Exact Renormalization Group
• Some remarks on high derivative quantum gravity
• Perturbative quantum gauge fields on the noncommutative torus
• Renormalization of Lorentz violating theories
• Universality and Ambiguities of the Conformal Anomaly
• Derivation of the exact NSVZ beta-function in N=1 SQED, regularized by higher derivatives, by direct summation of Feynman diagrams
• The NSVZ beta-function in supersymmetric theories with different regularizations and renormalization prescriptions
• Supersymmetric Models with Higher Dimensional Operators
• Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model
• Calculation of two-loop beta-function for general N=1 supersymmetric Yang--Mills theory with the higher covariant derivative regularization
• Living with Ghosts and their Radiative Corrections
• One-loop divergences in non-Abelian supersymmetric theories regularized by BRST-invariant version of the higher derivative regularization
• Gauge invariant regularisation via SU(N|N)
• Testing symmetries in effective models of higher derivative field theories
• The NSVZ beta-function and the Schwinger-Dyson equations for N=1 SQED with N_f flavors, regularized by higher derivatives
• Gauge invariances of higher derivative Maxwell-Chern-Simons field theory -- a new Hamiltonian approach
• One-loop counterterms for higher derivative regularized Lagrangians
• Renormalization Of High-Energy Lorentz Violating QED
• Universal invariant renormalization of supersymmetric Yang-Mills theory
• Background independent exact renormalisation
• Finite Field-Dependent BRST-antiBRST Transformations: Jacobians and Application to the Standard Model
• Formula for two-loop divergent part of 4-D Yang-Mills effective action
• Inconsistency of Naive Dimensional Regularizations and Quantum Correction to Non-Abelian Chern-Simons-Matter Theory Revisited
• Effective action of dressed mean fields for N = 4 super-Yang-Mills theory
• Higgs Mechanism in Nonlocal Field Theories
• Special Functions for Heat Kernel Expansion
• Three-loop renormalization of the quantum action for a four-dimensional scalar model with quartic interaction with the usage of the background field method and a cutoff regularization
• Slavnov-Taylor parameterization of Yang-Mills theory with massive fermions in the presence of singlet axial-vector currents
• Renormalization Group Study of Chern-Simons Field Coupled to Scalar Matter in a Modified BPHZ Subtraction Scheme
• Multiloop calculations in supersymmetric theories with the higher covariant derivative regularization
• Trace anomaly and induced action for a metric-scalar background
• Conformal anomaly from gauge fields without gauge fixing
• Adler-Bardeen theorem and cancellation of gauge anomalies to all orders in nonrenormalizable theories
• Finiteness of N =4 super-Yang-Mills effective action in terms of dressed N =1 superfields
• Complex-mass shell renormalization of the higher-derivative electrodynamics
• Once more on the Higgs decay into two photons
• The Abraham-Lorentz force and electrodynamics at the classical electron radius
• Factorization of integrals, defining the beta-function, into integrals of total derivatives in N=1 SQED, regularized by higher derivatives
• Ward identities and gauge independence in general chiral gauge theories
• Effective actions, cutoff regularization, quasi-locality, and gluing of partition functions
• Properties of a proposed background independent exact renormalization group
• Two-loop Gell-Mann-Low function of N=1 supersymmetric Yang-Mills theory, regularized by higher covariant derivatives
• Higher dimensional operators and their effects in (non)supersymmetric models
• A practical gauge invariant regularization of the SO(10) grand unified model
• Path integral regularization of pure Yang-Mills theory
• A Note on the Quadratic Divergence in Hybrid Regularization
• Consistency of the Hybrid Regularization with Higher Covariant Derivative and Infinitely Many Pauli-Villars