Skip to main content
Log in

Light Front Hamiltonian Approach

  • Physics of Elementary Particles and Atomic Nuclei. Theory
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

The semiphenomenological way to describe nonperturbative quantum chromodynamics using light front gluon zero mode is proposed and applied to quark-antiquark bound state.

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. P. A. M. Dirac, “Forms of relativistic dynamics,” Rev. Mod. Phys. 21, 392 (1949).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  2. B. L. G. Bakker et al., “Light-front quantum chromodynamics: a framework for the analysis of hadron physics,” Nucl. Phys. B (Proc. Suppl.) 251, 165 (2014); arXiv:1309.6333 [hep-ph]

    Article  ADS  Google Scholar 

  3. V. A. Franke, Yu. V. Novozhilov, S. A. Paston, and E. V. Prokhvatilov, “Focus on quantum field theory,” in Quantization of Field Theory on the Light Front (Nova Science, New York, 2005), pp. 23–81; arXiv:hepth/0404031.

    Google Scholar 

  4. S. A. Paston, E. V. Prokhvatilov, and V. A. Franke, “Calculation of the Mass Spectrum of QED-2 in Light-Front Coordinates,” Phys. At. Nucl. 68, 267 (2005); arXiv:hep-th/0501186.

    Article  Google Scholar 

  5. S. A. Paston, E. V. Prokhvatilov, and V. A. Franke, “On the correspondence between a light-front Hamiltonian approach and a Lorentz-covariant formulation for quantum gauge theories,” Nucl. Phys. B Proc. Suppl. 108, 189 (2002); arXiv:hep-th/0111009v1.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  6. M. Yu. Malyshev, S. A. Paston, E. V. Prokhvatilov, and R. A. Zubov, “Renormalized light front Hamiltonian in the Pauli-Villars regularization,” Int. J. Theor. Phys. 54, 169 (2015); arXiv:1311.4381 [hep-th].

    Article  MathSciNet  MATH  Google Scholar 

  7. M. Yu. Malyshev, E. V. Prokhvatilov, R. A. Zubov, and V. A. Franke, “Construction of a perturbatively correct light-front Hamiltonian for a (2+1)-dimensional gauge theory,” Theor. Math. Phys. 190, 411 (2017); arXiv:1609.07507 [hep-th].

    Article  MathSciNet  MATH  Google Scholar 

  8. E. V. Prokhvatilov and V. A. Franke, “Approximate description of QCD condensates in light cone coordinates,” Sov. J. Nucl. Phys. 47, 559 (1988).

    Google Scholar 

  9. E. V. Prokhvatilov and V. A. Franke, “Limit transition to light front coordinates in field theory and QCDHamiltonian,” Sov. J. Nucl. Phys. 49, 688 (1989).

    Google Scholar 

  10. E. V. Prokhvatilov, H. W. L. Naus, and H. J. Pirner, “Effective light-front quantization of scalar field theories and two-dimensional electrodynamics,” Phys. Rev. D 51, 2933 (1995).

    Article  ADS  Google Scholar 

  11. M. Yu. Malyshev and E. V. Prokhvatilov, “Construction of the light-front QCD Hamiltonian, regularized gauge invariantly, with zero modes modeling the vacuum,” Theor. Math. Phys. 169, 1600 (2011).

    Article  MATH  Google Scholar 

  12. R. A. Zubov and E. V. Prokhvatilov, “On quark-antiquark approximation in light front QCD with zero gluon modes,” AIP Conf. Proc. 1701, 040023 (2016).

    Article  Google Scholar 

  13. R. A. Zubov, E. V. Prokhvatilov, and M. Yu. Malyshev, “Limit transition to the light-front QCD and a quarkantiquark approximation,” Theor. Math. Phys. 184, 1287 (2015).

    Article  MATH  Google Scholar 

  14. R. A. Zubov, E. V. Prokhvatilov, and M. Yu. Malyshev, “Model of quark-antiquark interaction in quantum chromodynamics on the light front,” Theor. Math. Phys 190, 378 (2017).

    Article  MathSciNet  MATH  Google Scholar 

  15. G. ‘t Hooft, “A two-dimensional model for mesons,” Nucl. Phys. B 75, 461 (1974).

    Article  ADS  Google Scholar 

  16. S. J. Brodsky, G. F. de Teramond, H. G. Dosch, and J. Erlich, “Light-front holographic QCD and emerging confinement,” Phys. Rep. 584, 1 (2015); arXiv:1407.8131 [hep-ph]

    Article  ADS  MathSciNet  MATH  Google Scholar 

  17. Y. Li, P. Maris, X. Zhao, and J. P. Vary, “Heavy quarkonium in a holographic basis,” Phys. Lett. B 758, 118 (2016); arXiv:1509.07212.

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to M. Yu. Malyshev.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Malyshev, M.Y., Prokhvatilov, E.V., Zubov, R.A. et al. Light Front Hamiltonian Approach. Phys. Part. Nuclei Lett. 15, 376–379 (2018). https://doi.org/10.1134/S1547477118040167

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477118040167

Keywords

Navigation