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Geometrically Relating Momentum Cut-Off and Dimensional Regularization

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.

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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
Record Number:CaltechAUTHORS:20130520-141433691
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38579
Deposited By: Tony Diaz
Deposited On:21 May 2013 17:17
Last Modified:09 Nov 2021 23:38

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