Skip to main content
Log in

Alternate Light Front Quantization Procedure for Scalar Fields

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

Abstract

The novel procedure for the light-front (LF) quantization is formulated and applied for models of free scalar fields. The expected well-known results are rediscovered for a single field and new results are obtained for the two fields model. We use fields smeared with a test function on the LF hypersurface as the basic ingredient of our novel quantization procedure.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. P.A.M. Dirac, Generalized Hamiltonian dynamics. Can. J. Phys. 2, 129–148 (1950)

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

    MATH  Google Scholar 

  3. J.A. Przeszowski, Lorentz symmetry for the light-front Wightman functions. Acta Phys. Polon. Proc. Suppl. B 6, 327–333 (2013)

    Article  Google Scholar 

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

  5. J.A. Przeszowski, J. Żochowski, Light-front quantization with explicit Lorentz symmetry for Yukawa model. Few-Body Syst. 56, 579–585 (2015)

    Article  ADS  Google Scholar 

  6. M. Herrmann, W.N. Polyzou, Light-front vacuum. Phys. Rev. D 91, 085043 (2015)

    Article  ADS  Google Scholar 

  7. A. Harindranath, An introduction to light-front dynamics for pedestrians, in International School on Light-Front Quantization and NonPerturbative QCD, ed. by J.P. Vary, F. Woelz (1996)

  8. J.A. Przeszowski, E. Dzimida-Chmielewska, J. Żochowski, Light-front perturbation without spurious singularities. Few-Body Syst. 57, 527–532 (2016)

    Article  ADS  Google Scholar 

  9. H. Leutwyler, J.R. Klauder, L. Streit, Quantum field theory on lightlike slabs. Nouvo Cimento A 66, 536–554 (1970)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. N. Nakanishi, K. Yamawaki, A consistent formulation of the null-plane quantum field theory. Nucl. Phys. B 122, 15–28 (1977)

    Article  ADS  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jerzy A. Przeszowski.

Additional information

This article belongs to the Topical Collection “Light Cone 2016”.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Przeszowski, J.A. Alternate Light Front Quantization Procedure for Scalar Fields. Few-Body Syst 58, 102 (2017). https://doi.org/10.1007/s00601-017-1260-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s00601-017-1260-z

Navigation