Skip to main content
SpringerLink
Log in

Hamiltonian quantization of the non-anomalous generalized Schwinger model

  • Theoretical Physics
  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

We quantize a generalized version of the Schwinger model, where the two chiral sectors couples with different strengths to theU(1) gauge field. Starting from a theory which includes a generalized Wess-Zumino term, we obtain the equal time commutation relation for physical fields, both the singular and non-singular cases are considered. The photon propagators are also computed in their gauge dependent and invariant versions.

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. R. Jackiw, R. Rajaraman: Phys. Rev. Lett. 54 (1985) 1219

    Google Scholar 

  2. L.D. Faddeev: Phys. Lett. B145 (1984) 81; L.D. Faddeev, S.L. Shatashvilli: Phys. Lett. B167 (1986) 225

    Google Scholar 

  3. O. Babelon, F.A. Schaposnik, C. Viallet: Phys. Lett. B177 (1986) 385

    Google Scholar 

  4. K. Harada, I. Tsutsui: Phys. Lett. B183 (1987) 311

    Google Scholar 

  5. N.K. Falck, G. Krammer: Ann. Phys. (NY) 176 (1987) 330

    Google Scholar 

  6. M.S. Chanowitz: Phys. Lett B171 (1986) 413; D. Boyanovsky, I. Schmidt, Golterman: Ann. Phys. (NY) 185 (1988) 111

    Google Scholar 

  7. S. Miyake, K. Shizuya: Phys. Rev. D37 (1988) 2282; C. Wotzasek, C. Farina, A. de Souza Dutra: The Wess-Zumino term for the generalized Schwinger model. Preprint, IF/UFRJ/90; A. de Souza Dutra, Mod. Phys. Lett. A7 (1992) 1623

    Google Scholar 

  8. A. de Souza Dutra: Int. Jour. Mod. Phys. A9 (1994) 2229

    Google Scholar 

  9. C. Wotzasek, C. Naon: Z. Phys. C46 (1990) 445; J. Phys. G16 (1990) 765

    Google Scholar 

  10. P.A.M. Dirac: Lectures on Quantum Mechanics, (Yeshiva University Press, New York, 1964)

    Google Scholar 

  11. C. Itzykson, J.B. Zuber: Quantum Field Theory McGraw-Hill, New York, 1980

    Google Scholar 

  12. Conventions:η µv =diag(+,-),ε01=-ε01=+1

  13. K. Harada, I. Tsutsui: Z. Phys. C39 (1988) 137

    Google Scholar 

  14. H.O. Girotti, H.J. Rothe, K.D. Rothe: Phys. Rev. D33 (1986) 514 and Phys. Rev. D33 (1986) 592

    Google Scholar 

  15. A.J. Hanson, T. Regge, C. Teitelboim: Constrained Hamiltonian Systems, Accad. Nat. dei Lincei, Rome, 1976

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Física e Química, Universidade Estadual Paulista, Campus de Guaratinguetá, 12500-00, SP, Brasil

    A. de Souza Dutra & C. P. Natividade

Authors
  1. A. de Souza Dutra
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. C. P. Natividade
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

de Souza Dutra, A., Natividade, C.P. Hamiltonian quantization of the non-anomalous generalized Schwinger model. Z. Phys. C - Particles and Fields 66, 517–522 (1995). https://doi.org/10.1007/BF01556380

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01556380

Keywords

Search

Navigation