Agarwala, Susama (2013) Geometrically Relating Momentum Cut-Off and Dimensional Regularization. International Journal of Geometric Methods in Modern Physics, 10 (2). Art. No. 1250081. ISSN 0219-8878. doi:10.1142/S0219887812500818. https://resolver.caltech.edu/CaltechAUTHORS:20130520-141433691
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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.
| Item Type: | Article | |||||||||
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| Additional Information: | © 2013 World Scientific Publishing Company. Received 24 February 2012; Revised 3 June 2012; Published 1 November 2012. | |||||||||
| Subject Keywords: | β function; Hopf Algebra; momentum cut-off regularization; dimensional regularization. | |||||||||
| Issue or Number: | 2 | |||||||||
| DOI: | 10.1142/S0219887812500818 | |||||||||
| Record Number: | CaltechAUTHORS:20130520-141433691 | |||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130520-141433691 | |||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
| ID Code: | 38579 | |||||||||
| Collection: | CaltechAUTHORS | |||||||||
| Deposited By: | Tony Diaz | |||||||||
| Deposited On: | 21 May 2013 17:17 | |||||||||
| Last Modified: | 09 Nov 2021 23:38 |
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