The DOI matches its Crossref record; 14 of the 14 references it cites were found in a registry or an index.
Integrable Field Theory from Conformal Field Theory
Abstract
<!-- *** Custom HTML *** --> Equations of motion for two-dimensional quantum field theory obtained as some relevant perturbation around CFT are analyzed. It is shown that for particular degenerate fields taken as the perturbations, the resulting field theories posseses non-trivial local integrals of motion. The example is the scaling limit of the Ising model at $T = T_c$ but with non-vanishing magnetic field. Implications of the integrals of motion for corresponding particle theory are discussed and the exact S-matrix for the critical Ising model with magnetic field is conjectured.
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Cites
The renormalization group and the ε expansion
Wilson, K. (1974) · Physics Reports · doi:10.1016/0370-1573(74)90023-4 · Cited by 5,179
Phase transitions and critical phenomena
Landau, D. P. (1999) · Computing in Science & Engineering · doi:10.1109/mcise.1999.790580 · Cited by 2,420
Zamolodchikov, A. B., & Zamolodchikov, A. B. (1979) · Annals of Physics · doi:10.1016/0003-4916(79)90391-9 · Cited by 2,011
Self-citationConformal Invariance, Unitarity, and Critical Exponents in Two Dimensions
Friedan, D., Qiu, Z., & Shenker, S. H. (1984) · Physical Review Letters · doi:10.1103/physrevlett.52.1575 · Cited by 1,165
Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities
Andrews, G. E., Baxter, R. J., & Forrester, P. J. (1984) · Journal of Statistical Physics · doi:10.1007/bf01014383 · Cited by 875
Wu, T. T., McCoy, B. M., Tracy, C. A., & Barouch, E. (1976) · Physical Review B · doi:10.1103/physrevb.13.316 · Cited by 694
Ludwig, A. W. W., & Cardy, J. L. (1987) · Nuclear Physics B · doi:10.1016/0550-3213(87)90362-2 · Cited by 292
INTEGRALS OF MOTION IN SCALING 3-STATE POTTS MODEL FIELD THEORY
ZAMOLODCHIKOV, A. B. (1988) · International Journal of Modern Physics A · doi:10.1142/s0217751x88000333 · Cited by 262
Self-citationExact exponents for infinitely many new multicritical points
Huse, D. A. (1984) · Physical review. B, Condensed matter · doi:10.1103/physrevb.30.3908 · Cited by 252
Two-dimensional Ising field theory in a magnetic field: Breakup of the cut in the two-point function
McCoy, B. M., & Wu, T. T. (1978) · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields · doi:10.1103/physrevd.18.1259 · Cited by 209
Cited by
On space of integrable quantum field theories
Smirnov, F. A., & Zamolodchikov, A. B. (2017) · Nuclear Physics B · doi:10.1016/j.nuclphysb.2016.12.014 · Cited by 642
Self-citationReal-time scattering in Ising field theory using matrix product states
Jha, R. G., Milsted, A., Neuenfeld, D., Preskill, J., & Vieira, P. (2025) · Physical Review Research · doi:10.1103/9dxz-k5wb · Cited by 16
Metadata
- Authors
- Zamolodchikov, A. B.
- Venue
- Advanced Studies in Pure Mathematics
- Publisher
- Mathematical Society of Japan
- Published
- 2018-06-17
- Pages
- 641-674
- ISSN
- 0920-1971 (ISSN-L)
- OpenAlex
- W1566025287
- Cited by
- 458
- References
- 14
- FWCI
- 15.28
- Type
- conference paper
- Language
- en
- Open access
- closed
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