Higher covariant derivative regulators and non-multiplicative renormalization

Abstract

The renormalization algorithm based on regularization methods with two regulators is analyzed by means of explicit computations. We show in particular that regularization by higher covariant derivative terms can be complemented with dimensional regularization to obtain a consistent renormalized 4-dimensional Yang-Mills theory at the one-loop level. This shows that hybrid regularization methods can be applied not only to finite theories, like \eg\ Chern-Simons, but also to divergent theories.

12 pages, phyzzx, no figures

References in corpus (3)

• Chern-Simons Theory as the Large Mass Limit of Topologically Massive Yang-Mills Theory
• The universality of the shift of the Chern-Simons parameter for a general class of BRS invariant regularizations
• Shift versus no-shift in local regularizations of Chern-Simons theory

Cited by in corpus (6)

• Perturbative quantum gauge fields on the noncommutative torus
• Renormalization of the asymptotically expanded Yang-Mills spectral action
• Spectral action with zeta function regularization
• Unitarity violation in non-abelian Pauli-Villars regularization
• On NCQFT and dimensionless insertions
• Consistency of the Hybrid Regularization with Higher Covariant Derivative and Infinitely Many Pauli-Villars