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Gauge invariance and generalized η regularization

Antonio Padilla* and Robert G. C. Smith†

  • *Contact author: antonio.padilla@nottingham.ac.uk
  • †Contact author: robert.smith@nottingham.ac.uk
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Phys. Rev. D 111, 125013 – Published 18 June, 2025

DOI: https://doi.org/10.1103/lysb-cvb2

Abstract

We generalize the η regularization scheme in order to develop a framework for systematically studying regularization of loops in quantum field theory. This allows us to“solve” a set of gauge consistency conditions for families of gauge invariant regularization schemes. We recover several known examples such as dimensional and denominator regularizations, as well as some more general solutions. We also study anomalies in chiral theories in order to carefully describe how our formalism should be properly implemented.

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Phys. Rev. D 111, 125013– Published 18 June, 2025
  • Received 3 March 2025
  • Accepted 29 May 2025
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