Changes of Variables and the Renormalization Group
- Creators
- Caticha, Ariel
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.
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.Attached Files
Submitted - 1605.06366v1.pdf
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Additional details
- Eprint ID
- 71607
- Resolver ID
- CaltechAUTHORS:20161031-090220249
- DE-AC 03-81-ER0050
- Department of Energy (DOE)
- Created
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2016-10-31Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field