Published February 2013
| public
Journal Article
Geometrically Relating Momentum Cut-Off and Dimensional Regularization
- Creators
- Agarwala, Susama
Abstract
The β function for a scalar field theory describes the dependence of the coupling constant on the renormalization mass scale. This dependence is affected by the choice of regularization scheme. I explicitly relate the β functions of momentum cut-off regularization and dimensional regularization on scalar field theories by a gauge transformation using the Hopf algebras of the Feynman diagrams of the theories.
Additional Information
© 2013 World Scientific Publishing Company. Received 24 February 2012; Revised 3 June 2012; Published 1 November 2012.Additional details
- Eprint ID
- 38579
- DOI
- 10.1142/S0219887812500818
- Resolver ID
- CaltechAUTHORS:20130520-141433691
- Created
-
2013-05-21Created from EPrint's datestamp field
- Updated
-
2021-11-09Created from EPrint's last_modified field