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Cited by 296

The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.

Derivative expansion of the exact renormalization group

Open access
Morris, Tim R.·1994·Physics Letters B
DOI 10.1016/0370-2693(94)90767-6
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Abstract

Abstract The functional flow equations for the Legendre effective action, with respect to changes in a smooth cutoff, are approximited by a derivative expansion; no other approximation is made. This results in a set of coupled non-linear differential equations. The corresponding differential equations for a fixed point action have at most a countable number of solutions that are well defined for all values of the field. We apply the technique to the fixed points of one-component real scalar field theory in three dimensions. Only two non-singular solutions are found; the gaussian fixed point and an approximation to the Wilson fixed point. The latter is used to compute critical exponents, by carrying the approximation to second order. The results appear to converge rapidly.

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Metadata

Authors
Morris, T. R.
Venue
Physics Letters B
Publisher
Elsevier BV
Published
1994-06
Volume
329
Issue
2-3
Pages
241-248
ISSN
0370-2693 (ISSN-L)
DOI
10.1016/0370-2693(94)90767-6
OpenAlex
W2090311663
Cited by
296
References
8
FWCI
10.09
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Derivative expansion of the exact renormalization group. https://app.cochat.ai/papers/10.1016/0370-2693(94)90767-6
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Morris, T. R. (1994). Derivative expansion of the exact renormalization group. Physics Letters B. https://doi.org/10.1016/0370-2693(94)90767-6

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.