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Changes of Variables and the Renormalization Group

Caticha, Ariel (2016) Changes of Variables and the Renormalization Group. , Pasadena, CA. (Submitted) http://resolver.caltech.edu/CaltechAUTHORS:20161031-090220249

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Abstract

A class of exact infinitesimal renormalization group transformations is proposed and studied. These transformations are pure changes of variables (i.e., no integration or elimination of some degrees of freedom is required) such that a saddle point approximation is more accurate, becoming, in some cases asymptotically exact as the transformations are iterated. The formalism provides a simplified and unified approach to several known renormalization groups. It also suggests some new ways in which renormalization group methods might successfully be applied. In particular, an exact gauge covariant renormalization group transformation is constructed. Solutions for a scalar field theory are obtained both as an expansion in ϵ=4-d and as an expansion in a single coupling constant.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/1605.06366arXivDiscussion Paper
Additional Information:This work [1] first appeared as Caltech preprint CALT-68-1099. It was supported in part by the Department of Energy under contract DEAC 03-81-ER0050.
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)DE-AC 03-81-ER0050
Record Number:CaltechAUTHORS:20161031-090220249
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20161031-090220249
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71607
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:31 Oct 2016 17:24
Last Modified:31 Oct 2016 17:24

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