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Critical behaviour of the continuous n-component Potts model
Abstract
The continuous n-component Potts model is studied in the framework of Wilson's multiplicative renormalization group. Apart from the isotropic phi 4 interaction, there is another one inherent in the model for n>2. For n>or=4, it is distinct from any phi 4 interaction that has been investigated in detail. Critical exponents are calculated. The n dependence of the fixed points shows new behaviour; in particular for n in the neighbourhood of five, the epsilon expansion must be reformulated as a power series in epsilon 1 2/.
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Citations
Cited by
Wu, F. Y. (1982) · Reviews of Modern Physics · doi:10.1103/revmodphys.54.235 · Cited by 3,570
Essam, J. W. (1980) · Reports on Progress in Physics · doi:10.1088/0034-4885/43/7/001 · Cited by 1,018
Stable and metastable states in mean-field Potts and structural glasses
Kirkpatrick, T. R., & Wolynes, P. G. (1987) · Physical Review B · doi:10.1103/physrevb.36.8552 · Cited by 484
Metadata
- Authors
- Zia, R. K. P., & Wallace, D. J.
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 1975-09
- Volume
- 8
- Issue
- 9
- Pages
- 1495-1507
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W2071644626
- Cited by
- 192
- References
- 0
- FWCI
- 3.74
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Critical behaviour of the continuous n-component Potts model. https://app.cochat.ai/papers/10.1088/0305-4470/8/9/019
- The paper
- Zia, R. K. P., & Wallace, D. J. (1975). Critical behaviour of the continuous n-component Potts model. Journal of Physics A: Mathematical and General. https://doi.org/10.1088/0305-4470/8/9/019
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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.
