"Integrable perturbations of Ising model"의 두 판 사이의 차이
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| 13번째 줄: | 13번째 줄: | ||
<h5>Ising field theory</h5> | <h5>Ising field theory</h5> | ||
| − | * the continuum limit of the Ising model is made to | + | * the continuum limit of the Ising model is made to look like a field theory only through the application of a certain transformation (Jordan-Winger)<br> |
| + | ** "kink" states (boundaries between regions of differing spin) = basic objects of the theory | ||
| + | ** called quasiparticle | ||
| + | * [Zam89] | ||
| 30번째 줄: | 33번째 줄: | ||
* [[massive integrable perturbations of CFT and quasi-particles|massive integrable perturbations and quasi-particles]] | * [[massive integrable perturbations of CFT and quasi-particles|massive integrable perturbations and quasi-particles]] | ||
| + | * [[exact S-matrices in ATFT]] | ||
| 78번째 줄: | 82번째 줄: | ||
** V. V. Bazhanov, B. Nienhuis, S. O. Warnaar, 1994 | ** V. V. Bazhanov, B. Nienhuis, S. O. Warnaar, 1994 | ||
* [http://dx.doi.org/10.1142/S0217751X8900176X INTEGRALS OF MOTION AND S-MATRIX OF THE (SCALED) T = Tc ISING MODEL WITH MAGNETIC FIELD] | * [http://dx.doi.org/10.1142/S0217751X8900176X INTEGRALS OF MOTION AND S-MATRIX OF THE (SCALED) T = Tc ISING MODEL WITH MAGNETIC FIELD] | ||
| + | * [FZ90] | ||
* '''[Zam89]'''Integrable field theory from conformal field theory<br> | * '''[Zam89]'''Integrable field theory from conformal field theory<br> | ||
** A.B. Zamolodchikov, Adv. Stud. Pure Math. 19, 641-674 (1989) | ** A.B. Zamolodchikov, Adv. Stud. Pure Math. 19, 641-674 (1989) | ||
2012년 8월 24일 (금) 17:18 판
introduction
- energy perturbation [Kau49], [MTW77]
- related to A1
- Ising field theory
- magnetic perturbation[Zam89]
- related to E8
Ising field theory
- the continuum limit of the Ising model is made to look like a field theory only through the application of a certain transformation (Jordan-Winger)
- "kink" states (boundaries between regions of differing spin) = basic objects of the theory
- called quasiparticle
- [Zam89]
history
encyclopedia
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
- 2010년 books and articles
- http://gigapedia.info/1/
- http://gigapedia.info/1/
- http://www.amazon.com/s/ref=nb_ss_gw?url=search-alias%3Dstripbooks&field-keywords=
expositions
- David Borthwick and Skip Garibaldi, “Did a 1-dimensional magnet detect a 248-dimensional Lie algebra?,” 1012.5407 (December 24, 2010), http://arxiv.org/abs/1012.5407.
- Affleck, Ian. 2010. “Solid-state physics: Golden ratio seen in a magnet”. Nature 464 (7287) (3월 18): 362-363. doi:10.1038/464362a.
articles
- Coldea, R., D. A. Tennant, E. M. Wheeler, E. Wawrzynska, D. Prabhakaran, M. Telling, K. Habicht, P. Smeibidl, and K. Kiefer. 2010. Quantum Criticality in an Ising Chain: Experimental Evidence for Emergent E8 Symmetry. Science 327, no. 5962 (January 8): 177 -180. doi:10.1126/science.1180085.
- On the integrable structure of the Ising model
- Alessandro Nigro J. Stat. Mech. (2008) P01017
- Non-integrable aspects of the multi-frequency sine-Gordon model
- G. Delfinoa and G. Mussardo, 1998
- The spin-spin correlation function in the two-dimensional Ising model in a magnetic field at T = Tc
- G. Delfinoa and G. Mussardo, 1995
- Lattice Ising model in a field: E8 scattering theory
- V. V. Bazhanov, B. Nienhuis, S. O. Warnaar, 1994
- INTEGRALS OF MOTION AND S-MATRIX OF THE (SCALED) T = Tc ISING MODEL WITH MAGNETIC FIELD
- [FZ90]
- [Zam89]Integrable field theory from conformal field theory
- A.B. Zamolodchikov, Adv. Stud. Pure Math. 19, 641-674 (1989)
- Ising Field Theory: Quadratic Difference Equations for the n-Point Green's Functions on the Lattice
- Barry M. McCoy, Craig A. Tracy, Tai Tsun Wu, Phys. Rev. Lett. 46, 757–760 (1981)
- [MTW77]Two-Dimensional Ising Model as an Exactly Solvable Relativistic Quantum Field Theory: Explicit Formulas for n-Point Functions
- Barry M. McCoy, Craig A. Tracy, Tai Tsun Wu, Phys. Rev. Lett. 38, 793–796 (1977)
- [Kau49]Statistics. II. Partition Function Evaluated by Spinor Analysis
- Bruria Kaufman, Phys. Rev. 76, 1232–1243 (1949) Crystal
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- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/10.1038/464362a
question and answers(Math Overflow)
- http://mathoverflow.net/questions/32315/has-the-lie-group-e8-really-been-detected-experimentally
- http://mathoverflow.net/questions/32432/does-the-quantum-subgroup-of-quantum-su-2-called-e-8-have-anything-at-all-to-do-w
- http://mathoverflow.net/search?q=
- http://mathoverflow.net/search?q=
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experts on the field