A Perspective on Regularization and Curvature

Abstract

A global connection on the Connes Marcolli renormalization bundle relates $\beta$-functions of a class of regularization schemes by gauge transformations, as well as local solutions to $\beta$-functions over curved space-time.

As published

References in corpus (4)

• A Lie theoretic approach to renormalization
• Hopf algebras in renormalization theory: Locality and Dyson-Schwinger equations from Hochschild cohomology
• Hopf algebra approach to Feynman diagram calculations
• The Structure of the Ladder Insertion-Elimination Lie algebra

Cited by in corpus (2)

• Geometrically relating momentum cut-off and dimensional regularization
• On gauge theories of mass