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Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
Open accessAbstract
The Kadanoff theory of scaling near the critical point for an Ising ferromagnet is cast in differential form. The resulting differential equations are an example of the differential equations of the renormalization group. It is shown that the Widom-Kadanoff scaling laws arise naturally from these differential equations if the coefficients in the equations are analytic at the critical point. A generalization of the Kadanoff scaling picture involving an "irrelevant" variable is considered; in this case the scaling laws result from the renormalization-group equations only if the solution of the equations goes asymptotically to a fixed point.
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Cited by
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Yakhot, V., Orszag, S. A., Thangam, S., Gatski, T. B., & Speziale, C. G. (1992) · Physics of Fluids A: Fluid Dynamics · doi:10.1063/1.858424 · Cited by 2,832
Nonperturbative evolution equation for quantum gravity
Reuter, M. (1998) · Physical Review D · doi:10.1103/physrevd.57.971 · Cited by 1,160
The two-dimensional Coulomb gas, vortex unbinding, and superfluid-superconducting films
Minnhagen, P. (1987) · Reviews of Modern Physics · doi:10.1103/revmodphys.59.1001 · Cited by 1,020
The Asymptotic Safety Scenario in Quantum Gravity
Niedermaier, M., & Reuter, M. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-5 · Cited by 733
The nonperturbative functional renormalization group and its applications
Dupuis, N., Canet, L., Eichhorn, A., Metzner, W., Pawlowski, J. M., Tissier, M., & Wschebor, N. (2021) · Physics Reports · doi:10.1016/j.physrep.2021.01.001 · Cited by 660
Metadata
- Authors
- Wilson, K. G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1971-11-01
- Volume
- 4
- Issue
- 9
- Pages
- 3174-3183
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W2246296081
- Cited by
- 2,334
- References
- 0
- FWCI
- 37.70
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Wilson, K. G. (1971). Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture. Physical Review B. https://doi.org/10.1103/physrevb.4.3174
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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.
