The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Feynman-Graph Expansion for the Equation of State near the Critical Point
Abstract
The scaling equation of state for a generalized classical Heisenberg ferromagnet near the critical point is derived by an expansion in $\ensuremath{\epsilon}=4\ensuremath{-}d$, where $d$ is the dimension of space. It is shown that, though infrared divergences are induced by the Goldstone modes, the equation of state is divergence free. The results are compared with previous numerical calculations. It is also shown that, for non-Ising-like systems the "linear model" cannot be exact, even at first order in $\ensuremath{\epsilon}$ (although the numerical deviations from linearity are small).
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Citations
Cites
The theory of equilibrium critical phenomena
Fisher, M. E. (1967) · Reports on Progress in Physics · doi:10.1088/0034-4885/30/2/306 · Cited by 2,497
The axial vector current in beta decay
Gell-Mann, M., & Lévy, M. (1960) · Il Nuovo Cimento · doi:10.1007/bf02859738 · Cited by 2,486
Critical Exponents in 3.99 Dimensions
Wilson, K. G., & Fisher, M. E. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.240 · Cited by 1,655
Self-citationNonlinear Realizations of Chiral Symmetry
Weinberg, S. (1968) · Physical Review · doi:10.1103/physrev.166.1568 · Cited by 1,179
Feynman-Graph Expansion for Critical Exponents
Wilson, K. G. (1972) · Physical Review Letters · doi:10.1103/physrevlett.28.548 · Cited by 655
Self-citationThermodynamic Functions for Fluids and Ferromagnets near the Critical Point
Griffiths, R. B. (1967) · Physical Review · doi:10.1103/physrev.158.176 · Cited by 417
Renormalization of the σ-model
Lee, B. W. (1969) · Nuclear Physics B · doi:10.1016/0550-3213(69)90065-0 · Cited by 196
Equation of state near the critical point
Josephson, B. D. (1969) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/2/7/302 · Cited by 90
Equation of state of the Ising model near the critical point
Gaunt, D. S., & Domb, C. (1970) · Journal of Physics C Solid State Physics · doi:10.1088/0022-3719/3/7/003 · Cited by 90
One-Loop Renormalization of the Nonlinear σ Model
Bessis, D., & Zinn‐Justin, J. (1972) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.5.1313 · Cited by 34
Cited by
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
Critical exponents of theN-vector model
Guida, R., & Zinn-Justin, J. (1998) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/31/40/006 · Cited by 869
Static and dynamic critical phenomena at a second order QCD phase transition
Rajagopal, K., & Wilczek, F. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90502-g · Cited by 550
Two-scale-factor universality and the renormalization group
Hohenberg, P. C., Aharony, A., Halperin, B. I., & Siggia, E. D. (1976) · Physical Review B · doi:10.1103/physrevb.13.2986 · Cited by 278
Hysteresis, avalanches, and disorder-induced critical scaling: A renormalization-group approach
Dahmen, K., & Sethna, J. P. (1996) · Physical Review B · doi:10.1103/physrevb.53.14872 · Cited by 269
Phase transitions in quantum chromodynamics
Meyer-Ortmanns, H. (1996) · Reviews of Modern Physics · doi:10.1103/revmodphys.68.473 · Cited by 161
Metadata
- Authors
- Brézin, E., Wallace, D. J., & Wilson, K. G.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 1973-01-01
- Volume
- 7
- Issue
- 1
- Pages
- 232-239
- ISSN
- 0556-2805 (ISSN-L)
- OpenAlex
- W1981461847
- Cited by
- 274
- References
- 10
- FWCI
- 19.91
- Type
- journal article
- Language
- en
- Open access
- closed
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