Skip to main content
SpringerLink
Log in

Light-Front Quantization of the Vector Schwinger Model with a Photon Mass Term in Faddeevian Regularization

  • Published:
Few-Body Systems Aims and scope Submit manuscript

Abstract

In this talk, we study the light-front quantization of the vector Schwinger model with photon mass term in Faddeevian Regularization, describing two-dimensional electrodynamics with mass-less fermions but with a mass term for the U(1) gauge field. This theory is gauge-non-invariant (GNI). We construct a gauge-invariant (GI) theory using Stueckelberg mechanism and then recover the physical content of the original GNI theory from the newly constructed GI theory under some special gauge-fixing conditions (GFC’s). We then study LFQ of this new GI theory.

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. Schwinger, J.: Gauge invariance and mass. Phys. Rev. 125, 397–398 (1962)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. Schwinger, J.: Gauge invariance and mass 2. Phys. Rev. 128, 2425–2429 (1962)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. Kulshreshtha, U., Kulshreshtha, D.S.: Generalized Schwinger model in the light-front frame. Contributed paper at the 8th International Workshop on Light-Cone QCD and Non-perturbative Hadronic Physics, held at Lutsen, University of Minnesota at Duluth, USA, August, pp. 11–22 (1997)

  4. Kulshreshtha, U., Kulshreshtha, D.S., Mueller-Kirsten, H.J.W.: Hamiltonian and BRST formulations of the Schwinger model. Helv. Phys. Acta 66, 743–757 (1993)

    MathSciNet  MATH  Google Scholar 

  5. Kulshreshtha, U., Kulshreshtha, D.S., Mueller-Kirsten, H.J.W.: Front-form Hamiltonian and BRST formulations of the Schwinger model. Int. J. Theor. Phys. 37, 2539 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  6. Kulshreshtha, U.: Vector Schwinger model with a photon mass term: gauge-invariant reformulation, operator solutions and Hamiltonian and path integral formulations. Mod. Phys. Lett. A 22, 2993–3001 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. Kulshreshtha, U., Kulshreshtha, D.S.: Gauge-invariant reformulation of the vector Schwinger model with a photon mass term and its Hamiltonian, path integral and BRST formulations. Int. J. Mod. Phys. A 22, 6183–6201 (2007)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  8. Kulshreshtha, U.: Vector Schwinger model with a Photon Mass term on the light-front. PoS LC2008, 008 (2008)

  9. Kulshreshtha, Usha, Kulshreshtha, D.S., Vary, James: Vector Schwinger model with a photon mass term with Faddeevian regularization. Few Body Syst. 56(Issue Nos. 6–9), 559–563 (2015)

    Article  ADS  MATH  Google Scholar 

  10. Kulshreshtha, Usha, Kulshreshtha, D.S., Vary, James: Hamiltonian, path integral and BRST formulations of vector Schwinger model with a photon mass term with Faddeevian regularization. Int. J. Theor. Phys. 55(Issue No. 1), 338–360 (2016)

    Article  MATH  Google Scholar 

  11. Mitra, P.: Gauge Non-invariant Regularization and non-confining solutions of the Schwinger Model. Saha Inst. Preprint, Report no. SINP/TNP/92-09, (9 pp.) (1992)

  12. Mitra, P.: Chiral Schwinger model with a Faddeevian regularization. Phys. Lett. B 284, 23–26 (1992)

    Article  ADS  MathSciNet  Google Scholar 

  13. Mukhopadhyay, Subir, Mitra, P.: Chiral Schwinger model with new regularization. Z. Phys. C67, 525–530 (1995)

    ADS  MathSciNet  Google Scholar 

  14. Bhattacharya, G., Ghosh, A., Mitra, P.: A generalized gauge invariant regularization of the Schwinger model. Phys. Rev. D 50, 4183–4188 (1994)

    Article  ADS  Google Scholar 

  15. Mitra, P., Rahaman, A.: The non-confining Schwinger model. Ann. Phys. 249, 34–43 (1996)

    Article  ADS  MathSciNet  Google Scholar 

  16. Dirac, P.A.M.: Generalized Hamiltonian dynamics. Can. J. Math 2, 129 (1950)

    Article  MathSciNet  MATH  Google Scholar 

  17. Dirac, P.A.M.: Forms of relativistic dynamics. Rev. Mod. Phys. 21, 392–399 (1949)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  18. Brodsky, S.J., Pauli, H.C., Pinsky, S.S.: Quantum chromodynamics and other field theories on the light-cone. Phys. Rep. 301, 299–486 (1998)

    Article  ADS  MathSciNet  Google Scholar 

  19. Kulshreshtha, U., Kulshreshtha, D.S., Vary, J.P.: Hamiltonian, path Integral and BRST formulations of large N Scalar \(QCD_{2}\) on the light-front and spontaneous symmetry breaking. Eur. J. Phys. C75, 174 (12 pages), (2015)

Download references

Author information

Authors and Affiliations

  1. Department of Physics and Astronomy, Iowa State University, Ames, IA, 50011, USA

    Usha Kulshreshtha, Daya Shankar Kulshreshtha & James P. Vary

  2. Department of Physics, Kirori Mal College, University of Delhi, Delhi, 110007, India

    Usha Kulshreshtha

  3. Department of Physics and Astrophysics, University of Delhi, Delhi, 110007, India

    Daya Shankar Kulshreshtha

Authors
  1. Usha Kulshreshtha
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Daya Shankar Kulshreshtha
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. James P. Vary
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Usha Kulshreshtha.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kulshreshtha, U., Kulshreshtha, D.S. & Vary, J.P. Light-Front Quantization of the Vector Schwinger Model with a Photon Mass Term in Faddeevian Regularization. Few-Body Syst 57, 573–577 (2016). https://doi.org/10.1007/s00601-016-1084-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-016-1084-2

Keywords

Search

Navigation