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Cited by 381

The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.

Renormalization of the Nonlinear σ Model in 2 + ε Dimensions—Application to the Heisenberg Ferromagnets

Brézin, E., Zinn-Justin, J.·1976·Physical Review Letters
DOI 10.1103/physrevlett.36.691
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Abstract

The nonlinear $\ensuremath{\sigma}$ model is renormalizable and asymptotically free in two dimensions. We show here how to construct this model in $2+\ensuremath{\epsilon}$ dimensions. Renormalization-group equations follow and exhibit a nontrivial uv stable fixed point, which corresponds in the language of Heisenberg ferromagnets to a critical point. The existence of systematic expansions in powers of $d\ensuremath{-}2$ follows from this analysis. In the presence of a source information about long-distance behavior above the critical coupling constant is obtainable.

Overview

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Crossref · 10.1103/physrevlett.36.691

Cites

6 of 6 references verified0 citation errors · 0 not checkable

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Citations

Cites

Show all 6 references

Research works printed but not linked: 2

  1. A. A. Migdal, 1975, Zh. Eksp. Teor. Fiz., 69, 1457
  2. G. Parisi, Nota Interna Istituto di Fisica "G. Marconi," Instituto Nazionale di Fisica Nucleare-Roma

Cited by

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Metadata

Authors
Brézin, E., & Zinn-Justin, J.
Venue
Physical Review Letters
Publisher
American Physical Society (APS)
Published
1976-03-29
Volume
36
Issue
13
Pages
691-694
ISSN
0031-9007
DOI
10.1103/physrevlett.36.691
Cited by
381
References
6
Language
en
Licence
link.aps.org/licenses/aps-default-license (vor)

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CoChat. (2026). Citation check: Renormalization of the Nonlinear σ Model in 2 + ε Dimensions—Application to the Heisenberg Ferromagnets. https://app.cochat.ai/papers/10.1103/physrevlett.36.691
The paper
Brézin, E., & Zinn-Justin, J. (1976). Renormalization of the Nonlinear σ Model in 2 + ε Dimensions—Application to the Heisenberg Ferromagnets. Physical Review Letters. https://doi.org/10.1103/physrevlett.36.691

Data sources

Bibliographic data: Semantic Scholar, OpenAlex, Crossref.

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.