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Cited by 255

The DOI matches its Crossref record; 86 of the 86 references it cites were found in a registry or an index.

Lectures on the functional renormalization group method

Open access
Polonyi, Janos·2003·Open Physics
DOI 10.2478/bf02475552
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Abstract

These introductory notes are about functional renormalization group equations and some of their applications. It is emphasised that the applicability of this method extends well beyond critical systems, it actually provides us a general purpose algorithm to solve strongly coupled quantum field theories. The renormalization group equation of F. Wegner and A. Houghton is shown to resum the loop-expansion. Another version, due to J. Polchinski, is obtained by the method of collective coordinates and can be used for the resummation of the perturbation series. The genuinely non-perturbative evolution equation is obtained by a manner reminiscent of the Schwinger-Dyson equations. Two variants of this scheme are presented where the scale which determines the order of the successive elimination of the modes is extracted from external and internal spaces. The renormalization of composite operators is discussed briefly as an alternative way to arrive at the renormalization group equation. The scaling laws and fixed points are considered from local and global points of view. Instability induced renormalization and new scaling laws are shown to occur in the symmetry broken phase of the scaler theory. The flattening of the effective potential of a compact variable is demonstrated in case of the sine-Gordon model. Finally, a manifestly gauge invariant evolution equation is given for QED.

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Metadata

Authors
Polonyi, J.
Venue
Open Physics
Publisher
Walter de Gruyter GmbH
Published
2003-01-01
Volume
1
Issue
1
Pages
1-71
ISSN
2391-5471 (ISSN-L)
DOI
10.2478/bf02475552
OpenAlex
W2158098224
Cited by
255
References
86
FWCI
5.06
Type
journal article
Language
en
Open access
hybrid

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