Sine-Gordon form factors in finite volume

Nuclear Physics B

Volumn 852, Issue 2, 2011, Pages 441-467

  Feher G ^a   Takacs G ^b  

^a BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

^b INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

Author keywords

Finite size effects; Form factors; Integrable models; Sine Gordon model

Indexed keywords

EID: 79961032491     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2011.06.020     Document Type: Article

References (48)

1. Zamolodchikov A.B., Zamolodchikov A.B. Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field models. Ann. Phys. 1979, 120:253-291.
2. Mussardo G. Off critical statistical models: Factorized scattering theories and bootstrap program. Phys. Rep. 1992, 218:215-379.
3. Karowski M., Weisz P. Exact form-factors in (1+1)-dimensional field theoretic models with soliton behavior. Nucl. Phys. B 1978, 139:455.
4. Kirillov A.N., Smirnov F.A. A representation of the current algebra connected with the SU(2) invariant Thirring model. Phys. Lett. B 1987, 198:506-510.
5. Smirnov F.A. Form-factors in completely integrable models of quantum field theory. Adv. Ser. Math. Phys. 1992, 14:1-208.
6. Bajnok Z., Palla L., Takacs G. On the boundary form factor program. Nucl. Phys. B 2006, 750:179-212. arxiv:hep-th/0603171.
7. Takacs G. Form factors of boundary exponential operators in the sinh-Gordon model. Nucl. Phys. B 2008, 801:187-206. arxiv:0801.0962.
8. Koubek A., Mussardo G. On the operator content of the sinh-Gordon model. Phys. Lett. B 1993, 311:193-201. arxiv:hep-th/9306044.
9. Koubek A. A method to determine the operator content of perturbed conformal field theories. Phys. Lett. B 1995, 346:275-283. arxiv:hep-th/9501028.
10. Koubek A. Form-factor bootstrap and the operator content of perturbed minimal models. Nucl. Phys. B 1994, 428:655-680. arxiv:hep-th/9405014.
11. Koubek A. The space of local operators in perturbed conformal field theories. Nucl. Phys. B 1995, 435:703-734. arxiv:hep-th/9501029.
12. Smirnov F.A. Counting the local fields in SG theory. Nucl. Phys. B 1995, 453:807-824. arxiv:hep-th/9501059.
13. Yurov V.P., Zamolodchikov A.B. Correlation functions of integrable 2-D models of relativistic field theory. Ising model. Int. J. Mod. Phys. A 1991, 6:3419-3440.
14. Zamolodchikov A.B. Two point correlation function in scaling Lee-Yang model. Nucl. Phys. B 1991, 348:619-641.
15. Zamolodchikov A.B. Irreversibility of the flux of the renormalization group in a 2D field theory. JETP Lett. 1986, 43:730-732.
16. Cardy J.L. The central charge and universal combinations of amplitudes in two-dimensional theories away from criticality. Phys. Rev. Lett. 1988, 60:2709.
17. Cappelli A., Friedan D., Latorre J.I. C theorem and spectral representation. Nucl. Phys. B 1991, 352:616-670.
18. Freedman D.Z., Latorre J.I., Vilasis X. Illustrating the spectral form of the C theorem. Mod. Phys. Lett. A 1991, 6:531-542.
19. Delfino G., Simonetti P., Cardy J.L. Asymptotic factorisation of form factors in two-dimensional quantum field theory. Phys. Lett. B 1996, 387:327-333. arxiv:hep-th/9607046.
20. Smirnov F.A. Quasi-classical study of form factors in finite volume arxiv:hep-th/9802132.
21. Korepin V.E., Slavnov N.A. Form factors in the finite volume. Int. J. Mod. Phys. B 1999, 13:2933-2941. arxiv:math-ph/9812026.
22. Mussardo G., Riva V., Sotkov G. Finite-volume form factors in semiclassical approximation. Nucl. Phys. B 2003, 670:464-478. arxiv:hep-th/0307125.
23. Doyon B. Finite-temperature form factors: A review. SIGMA 2007, 3:011. arxiv:hep-th/0611066.
24. Pozsgay B., Takacs G. Form factors in finite volume I: form factor bootstrap and truncated conformal space. Nucl. Phys. B 2008, 788:167-208. arxiv:0706.1445.
25. Pozsgay B., Takacs G. Form factors in finite volume II: disconnected terms and finite temperature correlators. Nucl. Phys. B 2008, 788:209-251. arxiv:0706.3605.
26. Pozsgay B. Finite volume form factors and correlation functions at finite temperature arxiv:0907.4306.
27. Kormos M., Takacs G. Boundary form factors in finite volume. Nucl. Phys. B 2008, 803:277-298. arxiv:0712.1886.
28. Essler F.H.L., Konik R.M. Applications of massive integrable quantum field theories to problems in condensed matter physics arxiv:cond-mat/0412421.
29. Essler F.H.L., Konik R.M. Finite-temperature dynamical correlations in massive integrable quantum field theories. J. Stat. Mech. 2009, 0909:P09018. arxiv:0907.0779.
30. Essler F.H.L., Konik R.M. Finite-temperature lineshapes in gapped quantum spin chains. Phys. Rev. B 2008, 78:100403. arxiv:0711.2524.
31. Feverati G., Ravanini F., Takacs G. Truncated conformal space at c=1, nonlinear integral equation and quantization rules for multi-soliton states. Phys. Lett. B 1998, 430:264-273. arxiv:hep-th/9803104.
32. Lukyanov S.L., Zamolodchikov A.B. Exact expectation values of local fields in quantum sine-Gordon model. Nucl. Phys. B 1997, 493:571-587. arxiv:hep-th/9611238.
33. Zamolodchikov A.B. Mass scale in the sine-Gordon model and its reductions. Int. J. Mod. Phys. A 1995, 10:1125-1150.
34. Lukyanov S.L. Form factors of exponential fields in the sine-Gordon model. Mod. Phys. Lett. A 1997, 12:2543-2550. arxiv:hep-th/9703190.
35. Takacs G. Form factor perturbation theory from finite volume. Nucl. Phys. B 2010, 825:466-481. arxiv:0907.2109.
36. Smirnov F.A. Form-factors in completely integrable models of quantum field theory. Adv. Ser. Math. Phys. 1992, 14:1-208.
37. Lukyanov S.L. Free field representation for massive integrable models. Commun. Math. Phys. 1995, 167:183-226. arxiv:hep-th/9307196.
38. Babujian H.M., Fring A., Karowski M., Zapletal A. Exact form factors in integrable quantum field theories: The sine-Gordon model. Nucl. Phys. B 1999, 538:535-586. arxiv:hep-th/9805185.
39. Babujian H., Karowski M. Exact form factors in integrable quantum field theories: The sine-Gordon model. II. Nucl. Phys. B 2002, 620:407-455. arxiv:hep-th/0105178.
40. Yurov V.P., Zamolodchikov A.B. Truncated conformal space approach to scaling Lee-Yang model. Int. J. Mod. Phys. A 1990, 5:3221-3246.
41. Bajnok Z., Palla L., Takacs G., Wagner F. The k-folded sine-Gordon model in finite volume. Nucl. Phys. B 2000, 587:585-618. arxiv:hep-th/0004181.
42. Pozsgay B. Luscher's mu-term and finite volume bootstrap principle for scattering states and form factors. Nucl. Phys. B 2008, 802:435-457. arxiv:0803.4445.
43. Luscher M. Volume dependence of the energy spectrum in massive quantum field theories. 1. Stable particle states. Commun. Math. Phys. 1986, 104:177.
44. Lellouch L., Luscher M. Weak transition matrix elements from finite-volume correlation functions. Commun. Math. Phys. 2001, 219:31-44. arxiv:hep-lat/0003023.
45. Maiani L., Testa M. Final state interactions from Euclidean correlation functions. Phys. Lett. B 1990, 245:585-590.
46. Pozsgay B., Takacs G. Characterization of resonances using finite size effects. Nucl. Phys. B 2006, 748:485-523. arxiv:hep-th/0604022.
47. Takacs G., Watts G. Non-unitarity in quantum affine Toda theory and perturbed conformal field theory. Nucl. Phys. B 1999, 547:538-568. arxiv:hep-th/9810006.
48. Faddeev L.D. How Algebraic Bethe Ansatz works for integrable model arxiv:hep-th/9605187.