Skip to main content
Log in

Schwinger model with higher derivative couplings

  • Published:
Zeitschrift für Physik C Particles and Fields

Abstract

We study a version of the Schwinger model where fermion and gauge fields are coupled by means of higher derivatives. We show that, regardless of possible existence of ghosts and non-unitarity, the model is completely soluble and the anomalous axial divergence and the mass generated for the photon field are the same as in the usual model. The confinement of the electric charge is also discussed.

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. J. Schwinger: Phys. Rev. 128 (1962) 2425

    Google Scholar 

  2. See also L.S. Brown: Nuovo Cimento 29 (1963) 617: J.H. Lowenstein, J.A. Swieca: Ann. Phys. (N.Y.) 68 (1971) 172

    Google Scholar 

  3. In fact, this is an old subject. See, for example, B. Podolsky and P. Schwed: Rev. Mod. Phys. 20 (1948) 40, and references therein

    Google Scholar 

  4. For recent articles in this subject, one can mention, V.V. Nesterenko: The singular Lagrangians with higher derivatives, Preprint JINR/E2-87-9; A.A. Slavnov: Theor. Math. Phys. 13 (1972) 174; 33 (1977) 210; C. Batlle, J. Gomis, J.M. Ponsand, N. Román-Roy; J. Phys. A21 (1988) 2693; Carlos A.P. Galvão, N.A. Lemos: J. Math. Phys. 29 (1988) 1588; C.G. Bollini, J.J. Giambiagi; Rev. Bras. Fís. 17 (1987) 14; J. Barcelos-Neto, N.R.F. Braga: Acta Phys. Pol. B20 (1989) 205; Mod. Phys. Lett. A4 (1989) 2195

  5. See, for example, P. Fayet, S. Ferrara: Phys. Rep. 32C (1977) 249; P. Van Nieuwenhuizen, ibid. 68 (1981) 264; A.A. Polyakov; Nucl. Phys. B268 (1986) 406; J. Barcelos-Neto, N.R.F. Braga: Phys. Rev. D39 (1989) 494

    Google Scholar 

  6. See, for example, S.W. Hawking: Who's afraid of (higher derivative) ghosts?, which appears in Quantum field theory and quantum statistics. I.A. Batalin, C.J. Isham, G.A. Vilkovisky (eds.). Bristol: Adam Hilger 1987, and references therein

    Google Scholar 

  7. K. Fujikawa: Phys. Rev. Lett. 42 (1979) 1195; Phys. Rev. D21 (1980) 2848; ibid 22 (1980) 1499 (Erratum)

    Google Scholar 

  8. J. Barcelos-Neto, C.P. Natividade: Hamiltonian path integral formalism with higher derivatives. Preprint IF/UFRJ-24/90

  9. Y. Kim, P.Y. Pac, H.K. Shin: Phys. Rev. D39 (1989) 1251

    Google Scholar 

  10. P.A.M. Dirac: Can. J. Math. 2 (1950) 129; Lectures on quantum mechanics. New York: Belfer Graduate School of Science, Yeshiva University 1964. For a general review, see A. Hanson, T. Regge, C. Teitelboim; Constrained Hamiltonian systems. Rome: Academia Nazionale dei Lincei 1976

    Google Scholar 

  11. For details, see, for example, A. Das, C. Hagen: Phys. Rev. D32 (1985) 2024; A. Das, V.S. Mathur; ibid 33 (1986) 489; R. Roskies, F.A. Schaposnik; ibid 23 (1981) 558; J. Barcelos-Neto, A. Das: Phys. Rev. D 33 (1986) 2262

    Google Scholar 

  12. A. Casher, J. Kogut, L. Susskind: Phys. Rev. D10 (1974) 732

    Google Scholar 

  13. J. Barcelos-Neto, Carlos A.P. Galvão, M.B.D. Silva: work in progress

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barcelos-Neto, J., Natividade, C.P. Schwinger model with higher derivative couplings. Z. Phys. C - Particles and Fields 49, 511–514 (1991). https://doi.org/10.1007/BF01549705

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01549705

Keywords

Navigation