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Corrections to Scaling Laws
Abstract
The effects of higher-order contributions to the linearized renormalization group equations in critical phenomena are discussed. This analysis leads to three quite different results: (i) An exact scaling law for redefined fields is obtained. These redefined fields are normally analytic functions of the physical fields. Corrections to the standard power laws are derived from this scaling law. (ii) The theory explains why logarithmic terms can exist in the free energy. (iii) The case in which the energy scales like the dimensionality is analyzed to show that quite anomalous results may be obtained in this special situation.
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Citations
Cited by
Scaling theory of percolation clusters
Stauffer, D. (1979) · Physics Reports · doi:10.1016/0370-1573(79)90060-7 · Cited by 2,365
Non-perturbative renormalization flow in quantum field theory and statistical physics
Berges, J., Tetradis, N., & Wetterich, C. (2002) · Physics Reports · doi:10.1016/s0370-1573(01)00098-9 · Cited by 1,548
Belitz, D., & Kirkpatrick, T. R. (1994) · Reviews of Modern Physics · doi:10.1103/revmodphys.66.261 · Cited by 991
Universality, the QCD critical and tricritical point, and the quark number susceptibility
Hatta, Y., & Ikeda, T. (2003) · Physical Review D · doi:10.1103/physrevd.67.014028 · Cited by 334
Phase transitions in quantum chromodynamics
Meyer-Ortmanns, H. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.473 · Cited by 161
“If the condition (2.10) is violated, one should use the renormalization group approach of (Wegner, 1972; Wilson and Kogut, 1974; Fisher, 1974; Ma, 1976) to describe critical phenomena.”
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Metadata
- Authors
- Wegner, F. J.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1972-06-01
- Volume
- 5
- Issue
- 11
- Pages
- 4529-4536
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W1964387479
- Cited by
- 1,223
- References
- 0
- Type
- journal article
- Language
- en
- Open access
- closed
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- Wegner, F. J. (1972). Corrections to Scaling Laws. Physical Review B. https://doi.org/10.1103/physrevb.5.4529
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