Anomalies From the Covariant Derivative Expansion

Abstract

We revisit the calculation of anomalies for global and gauge symmetries in the framework of the Covariant Derivative Expansion (CDE). Due to the presence of UV divergences, the result is an ambiguous quantity that depends on the regularization procedure and the renormalization scheme. We introduce a class of regulators that facilitate a straightforward evaluation of the anomaly exclusively in $d=4$ spacetime dimensions using the CDE methodology. We derive a master formula for the anomaly that integrates various known results into a unified framework.

46 pages

References in corpus (6)

• Integrating out heavy particles with functional methods: a simplified framework
• Functional Prescription for EFT Matching
• Gauge Invariance and Finite Counterterms in Chiral Gauge Theories
• Axion Effective Action
• A Note on Gauge Anomaly Cancellation in Effective Field Theories
• Anomalies from an effective field theory perspective

Cited by in corpus (2)

• Universal definition of the non-conformal trace anomaly
• The Universal One-Loop Effective Action with Gravity