Skip to main content
SpringerLink
Log in

Thermodynamic Bethe Ansatz and Form Factors for the Homogeneous Sine-Gordon Models

  • Chapter
Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory

Part of the book series: NATO Science Series ((NAII,volume 35))

  • 337 Accesses

Abstract

We provide a brief characterization of the main features of the homogeneous sine-Gordon models and discuss a general construction principle for colour valued S-matrices, associated to a pair of simply laced Lie algebras, which contain the homogeneous sine-Gordon models as a subclass. We give a brief introduction to the thermodynamic Bethe ansatz and the form factor approach and discuss explicit solutions for both methods related to the homogeneous Sine-Gordon models and its generalization.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Castro-Alvaredo, O.A., Fring, A. and Korff, C., Miramontes, J.L. (2000) Nucl. Phys. B575, 535.

    Article  MathSciNet  ADS  Google Scholar 

  2. Fring, A. and Korff, C. (2000) Phys. Lett. B477 380.

    MathSciNet  ADS  Google Scholar 

  3. Castro-Alvaredo, O.A., Fring, A. and Korff, C. (2000) Phys. Lett. B484, 167.

    MathSciNet  ADS  Google Scholar 

  4. Castro-Alvaredo, O.A. and Fring, A. (in press) Identifying the Operator Content, the Homogeneous Sine-Gordon models, Nucl. Phys. B, preprint hep-th/0008044.

    Google Scholar 

  5. Castro-Alvaredo, O.A. and Fring, A. (2001) Phys. Rev. D63, 21701.

    ADS  Google Scholar 

  6. Castro-Alvaredo, O.A., Fring, A. (2000) Decoupling the SU(N)2 homogeneous Sine-Gordon model, preprint hep-th/0010262.

    Google Scholar 

  7. Schroer, B., Truong, T.T. and Weisz, P. (1976) Phys. Lett. B63, 422; Karowski, M., Thun, H.J., Truong, T.T. and Weisz, P. (1977) Phys. Lett. B67, 321; Zamolodchikov, A.B. (1977) JETP Lett. 25, 468.

    ADS  Google Scholar 

  8. Park, Q-H. (1994) Phys. Lett. B328, 329; Hollowood, T.J., Miramontes, J.L. and Park, Q-H. (1995) Nucl. Phys. B445, 451; Fernández-Pousa, CR., Gallas, M.V., Hollowood, T.J. and Miramontes, J.L. (1997) Nucl. Phys. B484, 609.

    ADS  Google Scholar 

  9. Zamolodchikov, Al.B. (1991) Resonance Factorized Scattering and Roaming Trajectories, preprint ENS-LPS-335.

    Google Scholar 

  10. Kadar, M. and Berker, A.N. (1982) Phys. Rev. Lett. 48, 1552; Huse, D.A. and Fisher, M.E. (1984) Phys. Rev. B29, 239.

    Article  ADS  Google Scholar 

  11. Federbush, P. (1961) Phys. Rev. 121, p. 1247; Schroer, B., Truong, T.T. and Weisz, P. (1976) Ann. Phys. 102, 156.

    Article  MathSciNet  ADS  Google Scholar 

  12. Korff, C. (2000) Lie algebraic structures in integrable models, affine Toda Field theory, PhD-Thesis, hep-th/0008200.

    Google Scholar 

  13. Miramontes, J.L. (2000) Integrable quantum field theories with unstable particles, Proceedings of the 4-th annual European TMR Conference on Integrability Nonperturbative Effects and Symmetry in Quantum Field Theory, Paris, hep-th/0010012.

    Google Scholar 

  14. Castro-Alvaredo, O.A. (2001) Bootstrap methods in 1+1 dimensional quantum field theories, the homogeneoous sine-Gordon models, PhD-thesis, in preparation.

    Google Scholar 

  15. Witten, E., (1984) Commun. Math. Phys. 92 455; Goddard, P., Kent, A. and Olive, D. (1985) Phys. Lett. B152 88; Fateev, V.A. and Zamolodchikov, A.B. (1985) Sov. Phys. JETP 62 p. 215; Gepner, C. (1987) Nucl. Phys. B290 10; Gepner, D. and Qiu, Z. (1987) Nucl. Phys. B285, 423.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. Leznov, A.N. and Saveliev, M.V. (1983) Commun. Math. Phys. 89, 59; Ferreira, L.A., Miramontes, J.L. and Sánchez Guillén, J. (1995) Nucl. Phys. B449, 631.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  17. Fernández-Pousa, C.R., Gallas, M.V., Hollowood, T.J. and Miramontes, J.L. (1997) Nucl. Phys. B499, 673.

    Article  ADS  Google Scholar 

  18. Miramontes, J.L. and Fernández-Pousa, CR. (2000) Phys. Lett. B472, 392.

    ADS  Google Scholar 

  19. Korff, C. (2000) Colours associated to non simply-laced Lie algebras and exact S-matrices, preprint hep-th/0010287.

    Google Scholar 

  20. Eden, R.J., Landshoff, P.V., Olive, D.I. and Polkinghorne, J.C. (1996) The analytic S-Matrix, CUP, Cambridge.

    Google Scholar 

  21. Breit, G. and Wigner, E.P. (1936) Phys. Rev 49, 519.

    Article  ADS  MATH  Google Scholar 

  22. Zamolodchikov, Al.B. (1991) Nucl. Phys B358, 524.

    Article  MathSciNet  ADS  Google Scholar 

  23. Yang, C.N. and Yang, C.P. (1966) Phys. Rev. 147, 303; (1969) J. Math. Phys. 10 1115.

    Article  ADS  Google Scholar 

  24. Zamolodchikov, Al.B. (1990) Nucl. Phys. B342, 695; (1991) Nucl. Phys. B358, 497; (1991) Nucl. Phys. B366 122.

    Article  MathSciNet  ADS  Google Scholar 

  25. Olive, D.I. (1962) Nuovo Cimento. 26, 73; Takács, G., Watts, G. (1999) Nucl. Phys. B547, 538; Miramontes, J.L. (1999) Phys. Lett. 455B, 213.

    Article  MathSciNet  MATH  Google Scholar 

  26. Bytsko A. and Fring, A. (1998) Nucl. Phys. B532[FS], 588.

    Article  MathSciNet  ADS  Google Scholar 

  27. Bytsko, A. (2000) Thermodynamic Bethe ansatz for generalized extensive statistics, preprint hep-th/0011004.

    Google Scholar 

  28. Fring, A., Korff, C and Schulz, B.J. (1999) Nucl Phys. B549, p. 579; Fring, A. and Korff, C (2000) Nucl. Phys. B579 [FS], 617.

    Article  MathSciNet  ADS  Google Scholar 

  29. Kirillov, A.N. and Reshetikhin, N.Yu. (1990) J. Sov. Math. 52, 3156.

    Article  MathSciNet  Google Scholar 

  30. Kuniba, A., (1993) Nucl. Phys. B389, 209; Kuniba, A. and Nakanishi, T. (1992) Mod. Phys. 7, 3487; Kuniba, A., Nakanishi, T. and Suzuki, J. (1993) Mod. Phys. 8 1649; (1994) Int. J. Mod. Phys. 9 5215; (1994) Int. J. Mod. Phys. 9, 5267.

    Article  MathSciNet  ADS  Google Scholar 

  31. Castro-Alvaxedo, O.A. and Pring, A. Scaling functions from q-deformed Virasoro characters, preprint hep-th/0103055.

    Google Scholar 

  32. Kirillov, A.N. (1995) Prog. Theor. Phys. Suppl 118, 61.

    Article  MathSciNet  ADS  Google Scholar 

  33. Richmond, E.B. and Szekeres, G. (1981) J. Austral. Math. Soc. A31, 362.

    Article  MathSciNet  Google Scholar 

  34. Weisz, P. (1977) Phys. Lett. B67, 179; Karowski, M. and Weisz, P. (1978) Nucl. Phys. B139, 445.

    ADS  Google Scholar 

  35. Babujian, H., Pring, A., Karowski, M. and Zapletal, A. (1999) Nucl. Phys., B538[FS] 535.

    Article  ADS  Google Scholar 

  36. Babujian H. and Karowski, M. (1999) Phys. Lett. B471, 53.

    MathSciNet  ADS  Google Scholar 

  37. Zamolodchikov, A.B. (1986) JETP Lett, 43, 730.

    MathSciNet  ADS  Google Scholar 

  38. Delfino, G., Simonetti, P. and Cardy, J.L. (1996) Phys. Lett. B387, 327.

    MathSciNet  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Theoretische Physik, Freie Universität Berlin, Arnimalle 14, D-14195, Berlin, Germany

    A. Fring

Authors
  1. A. Fring
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Joint Institute for Nuclear Research, Laboratory of Theoretical Physics, Dubna, Russia

    S. Pakuliak

  2. Physikalisches Institut, Universität Bonn, Germany

    G. von Gehlen

Rights and permissions

Reprints and permissions

Copyright information

© 2001 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Fring, A. (2001). Thermodynamic Bethe Ansatz and Form Factors for the Homogeneous Sine-Gordon Models. In: Pakuliak, S., von Gehlen, G. (eds) Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory. NATO Science Series, vol 35. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0670-5_9

Download citation

  • DOI: https://doi.org/10.1007/978-94-010-0670-5_9

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-7184-7

  • Online ISBN: 978-94-010-0670-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation