Skip to main content
Log in

Conformal field theories and critical phenomena

  • Part I. Invited Papers Dedicated To Asim Orhan Barut
  • Published:
Foundations of Physics Aims and scope Submit manuscript

Abstract

In this article we present a brief review of the conformal symmetry and the two-dimensional conformal quantum field theories. As concrete applications of the conformal theories to the critical phenomena in statistical systems, we calculate the value of central charge and the anomalous scale dimensions of the Z 2 symmetric quantum chain with boundary condition. The results are compatible with the prediction of the conformal field theories.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Fubini, A. J. Hanson, and R. Jackiw,Phys. Rev. D 7, 1732 (1973).

    Google Scholar 

  2. L. Bianchi,Lezioni di Geometria Differenziable (Spoetti, Pisa, 1902), p. 375.

    Google Scholar 

  3. E. Cunningham,Proc. London Math. Soc. 8, 27 (1909).

    Google Scholar 

  4. H. Bateman,Proc. London Math. Soc. 8, 223 (1909).

    Google Scholar 

  5. A. O. Barut and B. W. Xu,J. Phys. A 15, L207 (1982).

  6. B. W. Xu, Lecture Notes in Physics, 261 (Springer, Berlin, 1986), p. 111.

    Google Scholar 

  7. C. G. Callen, S. Coleman, and R. Jackiw,Ann. Phys. 59, 42 (1970).

    Google Scholar 

  8. M. A. Virasoro,Phys. Rev. D 1, 2933 (1910).

    Google Scholar 

  9. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov,Nucl. Phys. B 241, 333 (1984).

    Google Scholar 

  10. D. Friadan, Z. Qiu, and S. Shenker,Phys. Rev. Lett. 52, 1575 (1984).

    Google Scholar 

  11. J. L. Cardy,J. Math. Phys. A 17, L385 (1984).

  12. G. v. Gehlen, V. Rittenberg, and H. Ruegg,J. Phys. A 19, 107 (1985).

    Google Scholar 

  13. E. Lieb, T. Schultz, and D. Mattis,Ann. Phys. 16, 407 (1961).

    Google Scholar 

  14. S. Kastsura,Phys. Rev. 127, 1508 (1962).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Xu, Bw. Conformal field theories and critical phenomena. Found Phys 23, 329–339 (1993). https://doi.org/10.1007/BF01883633

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01883633

Keywords

Navigation