Welcome to the new version of CaltechAUTHORS. Login is currently restricted to library staff. If you notice any issues, please email coda@library.caltech.edu
Published October 31, 2016 | Submitted
Report Open

Changes of Variables and the Renormalization Group

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

Files

1605.06366v1.pdf
Files (232.0 kB)
Name Size Download all
md5:c1aea9ed72a62a7f2fce03ec94515b18
232.0 kB Preview Download

Additional details

Created:
August 20, 2023
Modified:
October 23, 2023