Advertisement

Communications in Mathematical Physics

, Volume 79, Issue 4, pp 489–505 | Cite as

Tetrahedron equations and the relativisticS-matrix of straight-strings in 2+1-Dimensions

  • A. B. Zamolodchikov
Article

Abstract

The quantumS-matrix theory of straight-strings (infinite one-dimensional objects like straight domain walls) in 2+1-dimensions is considered. TheS-matrix is supposed to be “purely elastic” and factorized. The tetrahedron equations (which are the factorization conditions) are investigated for the special “two-colour” model. The relativistic three-stringS-matrix, which apparently satisfies this tetrahedron equation, is proposed.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Domain Wall 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Yang, S.N.: Phys. Rev.168, 1920–1923 (1968)Google Scholar
  2. 2.
    Baxter, R.J.: Ann. Phys.70, 193–228 (1972)Google Scholar
  3. 3.
    Baxter, R.J.: Philos. Trans. Soc. (London)189, 315–346 (1978)Google Scholar
  4. 4.
    Zamolodchikov, A.B.: Sov. Sci. Rev.2 (to be published)Google Scholar
  5. 5.
    Faddeev, L.D., Sklyanin, V.K., Takhtadjyan, L.A.: Teor. Mat. Fiz.40, 194–212 (1979)Google Scholar
  6. 6.
    Faddeev, L.D.: Preprint LOMI P-2-79, Leningrad, 1979Google Scholar
  7. 7.
    Zamolodchikov, A.B., Zamolodchikov, Al.B.: Ann. Phys.120, 253–291 (1979)Google Scholar
  8. 8.
    Zamolodchikov, A.B.: Landau Institute Preprint 15, Chernogolovka 1980, Zh. Eksp. Teor. Fiz. (in press)Google Scholar
  9. 9.
    Cherednik, I.: Dokl. Akad. Nauk USSR249, 1095–1098 (1979)Google Scholar
  10. 10.
    Belavin, A.A.: Pisma Zh. Eksp. Teor. Fiz. (in press)Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • A. B. Zamolodchikov
    • 1
  1. 1.Landau Institute of Theoretical PhysicsMoscowUSSR

Personalised recommendations