Form factors of soliton-creating operators in the sine-Gordon model

Nuclear Physics B

Volumn 607, Issue 3, 2001, Pages 437-455

  Lukyanov, Sergei ^a,b   Zamolodchikov, Alexander ^a,b  

^a RUTGERS UNIVERSITY   (United States)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

Author keywords

11.10.Kk; Correlation function; Form factor; Integrable quantum field theory; Sine Gordon model

Indexed keywords

EID: 0000723907     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(01)00262-0     Document Type: Article

References (38)

1. Smirnov F.A. Form-factors in Completely Integrable Models of Quantum Field Theory. 1992;World Scientific, Singapore.
2. Vergeles S., Gryanik V. Two-dimensional quantum field theories having exact solutions. Yad. Fiz. 23:1976;1324-1334. (in Russian).
3. Karowski M., Weisz P. Exact form factors in (1+1) -dimensional field theoretic models with solution behavior. Nucl. Phys. B. 139:1978;455-476.
4. A.B. Zamolodchickov, Quantum sine-Gordon model, The soliton form-factors, Preprint, ITEP-45-1977, 1977, p. 12.
5. Zamolodchikov Al.B. Two-point correlation function in scaling Lee-Yang model. Nucl. Phys. B. 348:1991;619-641.
6. (2) . Int. J. Mod. Phys. A. 11:1996;5327-5364.
7. Balog J., Niedermaier M. Off-shell dynamics of the O(3) NLS model beyond Monte Carlo and perturbation theory. Nucl. Phys. B. 500:1997;421-461.
8. Lukyanov S., Zamolodchikov A. Exact expectation values of local fields in the quantum sine-Gordon model. Nucl. Phys. B. 493:1997;571-587.
9. Fateev V., Lukyanov S., Zamolodchikov A., Zamolodchikov Al. Expectation values of boundary fields in the boundary sine-Gordon model. Phys. Lett. B. 406:1997;83-88.
10. Fateev V., Lukyanov S., Zamolodchikov A., Zamolodchikov Al. Expectation values of local fields in the Bullough-Dodd model and integrable perturbed conformal field theories. Nucl. Phys. B. 516:1998;652-674.
11. Baseilhac P., Fateev V.A. Expectation values of local fields for a two-parameter family of integrable models and related perturbed conformal field theories. Nucl. Phys. B. 532:1998;567-587.
12. Fateev V.A. Normalization factors in conformal field theory and their applications. Mod. Phys. Lett. A. 15:2000;259-270.
13. Lukyanov S. Free field representation for massive integrable models. Commun. Math. Phys. 167:(1):1995;183-226.
14. Lukyanov S. Form-factors of exponential fields in the sine-Gordon model. Mod. Phys. Lett. A. 12:1997;2543-2550.
15. Babujian H., Fring A., Karowski M., Zapletal A. Exact form-factors in integrable quantum field theories: the sine-Gordon model. Nucl. Phys. B. 538:1999;535-586.
16. Delfino G. Off critical correlations in the Ashkin-Teller model. Phys. Lett. B. 450:1999;196-201.
17. N invariant statistical systems. Zh. Eksp. Teor. Fiz. 89:1985;380-399.
18. S. Lukyanov, A. Zamolodchikov, in preparation.
19. Coleman S. The quantum sine-Gordon equation as the massive Thirring model. Phys. Rev. D. 11:1975;2088-2097.
20. Mandelstam S. Soliton operators for the quantized sine-Gordon equation. Phys. Rev. D. 11:1975;3026-3030.
21. Bernard D., LeClair A. Residual quantum symmetries of the restricted sine-Gordon theories. Nucl. Phys. B. 340:1990;721-751.
22. Baxter R.J. Exactly Solved Models in Statistical Mechanics. 1982;Academic Press, London.
23. Luther A. Eigenvalue spectrum of interacting massive fermions in one dimension. Phys. Rev. B. 14:1976;2153-2159.
24. Johnson J.D., Krinsky S., McCoy B.M. Vertical-arrow correlation length in the eight-vertex model and the low-lying excitation of the X-Y-Z Hamiltonian. Phys. Rev. A. 8:1973;2526-2547.
25. Lukyanov S. Low energy effective Hamiltonian for the XXZ spin chain. Nucl. Phys. B. 522:1998;533-549.
26. Foda O., Iohara K., Jimbo M., Kedem R., Miwa T., Yan H. An elliptic quantum algebra for SL(2). Lett. Math. Phys. 32:1994;259-268.
27. Lukyanov S., Pugai Ya. Bosonization of ZF algebras: direction toward deformed Virasoro algebra. J. Experiment. Theoret. Phys. 82:1996;1021-1045.
28. Itzykson C., Drouffe J.-M. Statistical Field Theory, Vol. 1. 1989;Cambridge Univ. Press.
29. Controzzi D., Essler F.H.L., Tsvelik A.M. Dynamical properties of one-dimensional Mott insulators. in: Proceedings of Newton Institute EuroConference on Strongly Correlated Electron Systems: Novel Physics and New Materials, Cambridge, England, 26-30 June, 2000, in press cond-mat/0011439.
30. Gogolin A.O., Nersesyan A.A., Tsvelik A.M. Bosonization and Strongly Correlated Systems. 1999;Cambridge Univ. Press.
31. F.H.L. Essler, A.M. Tsvelik, private communication.
32. Filev V.M. Spectrum of two-dimensional relativistic model. Teoret. Mat. Fiz. 33:1977;119-124.
33. Emery V.J., Luther A., Peschel I. Solution of the one-dimensional electron gas on a lattice. Phys. Rev. B. 13:1976;1272-1276.
34. Melzer E. On the scaling limit of the 1-d Hubbard model at half filling. Nucl. Phys. B [FS]. 443:1995;553-564.
35. Woynarovich F., Forgacs P. Scaling limit of the one-dimensional attractive Hubbard model: the half-filled band case. Nucl. Phys. B. 498:1997;65-603.
36. Korepin V.E., Essler F.H.L. SU(2)⊗SU(2) invariant scattering matrix of the Hubbard model. Nucl. Phys. B. 426:1994;505-533.
37. Zamolodchikov A.B., Zamolodchikov Al.B. Structure constants and conformal bootstrap in Liouville field theory. Nucl. Phys. B. 477:1996;577-605.
38. Fateev V., Fradkin D., Lukyanov S., Zamolodchikov A., Zamolodchikov Al. Expectation values of descendent fields in the sine-Gordon model. Nucl. Phys. B. 540:1999;587-609.