Skip to main content
SpringerLink
Log in

Proof of conformal invariance in the critical regime for models of Gross-Neveu type

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

Abstract

It is shown that for all multiplicatively renormalizable fermionic models without derivativs in the interaction, in particular, for the Gross—Neveu model, conformal invariance of the Green's functions of the fields in the critical regime (massless model at fixed renormalization-group point) automatically follows from the scale invariance for arbitrary space dimension.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. A. N. Vasil'ev, M. M. Perekalin, and Yu. M. Pis'mak,Teor. Mat. Fiz.,55, 323 (1983).

    Google Scholar 

  2. D. Gross and A. Neveu,Phys. Rev. D,10, 3235 (1974).

    Google Scholar 

  3. W. Wetzel,Phys. Lett. D,153, 297 (1985).

    Google Scholar 

  4. J. A. Grecey,Int. J. Mod. Phys. A,6, 395 1991); see also Erratum.

    Google Scholar 

  5. J. Zinn-Justin,Nucl. Phys. B,367, 105 (1991).

    Google Scholar 

  6. S. Hikami,Prog. Theor. Phys.,62, 226 (1979); A. N. Vasil'ev and M. Yu. Nalimov,Teor. Mat. Fiz.,56, 5 (1983).

    Google Scholar 

  7. S. Hikami,Prog. Theor. Phys.,64, 1425 (1980), A. N. Vasil'ev, M. Yu. Nalimov, and Yu. R. Khonkonen,Teor. Mat. Fiz.,58, 169 (1984).

    Google Scholar 

  8. G. Gat, A. Kovner, and B. Rosenstein,Phys. Lett. B,240, 158 (1990).

    Google Scholar 

  9. A. N. Vasil'ev Yu. M. Pis'mak, and Yu. R. Khonkonen,Teor. Mat. Fiz.,46, 157 (1981);47, 291 (1981).

    Google Scholar 

  10. A. N. Vasil'ev, Yu. M. Pis'mak, and Yu. R. Khonkonen,Teor. Mat. Fiz.,50, 195 (1982).

    Google Scholar 

  11. M. Yu. Nalimov,Candidate's Dissertation [in Russian], Leningrad State University (1984).

  12. J. C. Collins,Renormalization, C.U.P., Cambridge (1986).

    Google Scholar 

  13. A. N. Vasil'ev,Teor. Mat. Fiz.,81, 336 (1989).

    Google Scholar 

  14. A. A. Slavnov and L. D. Faddeev,Gauge Fields, Introduction to Quantum Theory (Frontiers in Physics, Vol. 50), Reading, Mass. (1980).

  15. A. A. Kozhevnikov, M. Ya. Palchik, and A. A. Pomeranskij, Preprint No. 146 [in English], Institute of Automation and Electrometry; M. Ya. Palchik, Preprint No. 180 [in English], Institute of Automation and Electrometry.

Download references

Authors
  1. A. N. Vasil'ev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. S. É. Derkachev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. A. Kibel'
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. S. Stepanenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

St Petersburg State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 92, No. 3, pp. 486–497, September, 1992.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vasil'ev, A.N., Derkachev, S.É., Kibel', N.A. et al. Proof of conformal invariance in the critical regime for models of Gross-Neveu type. Theor Math Phys 92, 1047–1054 (1992). https://doi.org/10.1007/BF01017082

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017082

Keywords

Search

Navigation