Skip to main content
Log in

Advances in Basis Light-Front Quantization

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

Abstract

Basis light-front quantization has been developed as a first-principles nonperturbative approach to quantum field theory. In this article we report our recent progress on the applications to the single electron and the positronium system in QED. We focus on the renormalization procedure in this method.

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. Vary J.P., Honkanen H., Li J., Maris P., Brodsky S.J., Harindranath A., de Teramond G.F., Sternberg P., Ng E.G., Yang C.: Hamiltonian light-front field theory in a basis function approach. Phys. Rev. C 81, 035205 (2010)

    Article  ADS  Google Scholar 

  2. Honkanen H., Maris P., Vary J.P., Brodsky S.J.: Electron in a transverse harmonic cavity. Phys. Rev. Lett. 106, 061603 (2011)

    Article  ADS  Google Scholar 

  3. Zhao X., Ilderton A., Maris P., Vary J.P.: Scattering in time-dependent basis light-front quantization. Phys. Rev. D 88, 065014 (2013)

    Article  ADS  Google Scholar 

  4. Zhao X., Ilderton A., Maris P., Vary J.P.: Non-perturbative quantum time evolution on the light-front. Phys. Lett. B 726, 856 (2013)

    Article  MathSciNet  ADS  Google Scholar 

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

    Article  MathSciNet  ADS  Google Scholar 

  6. de Teramond G.F., Brodsky G.F.: Light-front holography: a first approximation to QCD. Phys. Rev. Lett. 102, 081601 (2009)

    Article  ADS  MATH  Google Scholar 

  7. Brodsky S.J., Franke V.A., Hiller J.R., McCartor G., Paston S.A., Prokhvatilov E.V.: A nonperturbative calculation of the electron’s magnetic moment. Nucl. Phys. B 703, 333 (2004)

    Article  ADS  MATH  Google Scholar 

  8. Karmanov V.A., Mathiot J.-F., Smirnov A.V.: Systematic renormalization scheme in light-front dynamics with Fock space truncation. Phys. Rev D77, 085028 (2008)

    ADS  Google Scholar 

  9. Karmanov V.A., Mathiot J.-F., Smirnov A.V.: Ab initio nonperturbative calculation of physical observables in light-front dynamics: Application to the Yukawa model. Phys. Rev. D86, 085006 (2012)

    ADS  Google Scholar 

  10. Zhao X., Honkanen H., Maris P., Vary J.P., Brodsky S.J.: Electron g-2 in light-front quantization. Phys. Lett. B. 737, 65 (2014)

    Article  ADS  Google Scholar 

  11. Brodsky S.J., Hwang D.S., Ma B.Q., Schmidt I.: Light cone representation of the spin and orbital angular momentum of relativistic composite systems. Nucl. Phys. B 593, 311 (2001)

    Article  ADS  MATH  Google Scholar 

  12. Chakrabarti D., Zhao X., Honkanen H., Manohar R., Maris P., Vary J.P.: Generalized parton distributions in a light-front nonperturbative approach. Phys. Rev. D. 89, 116004 (2014)

    Article  ADS  Google Scholar 

  13. Wiecki, P., Li, Y., Zhao, X., Maris, P., Vary, J.P.: Non-perturbative calculation of the positronium mass spectrum in basis light-front quantization. Few Body Sys. (2015). arXiv:1502.02993 [nucl-th]

  14. Wiecki, P., Li, Y., Zhao, X., Maris, P., Vary, J.P.: Basis light-front quantization approach to positronium. Phys. Rev. D91, (2015)

  15. Tang A.C., Brodsky S.J., Brodsky S.J., Brodsky S.J.: Discretized light cone quantization: formalism for quantum electrodynamics. Phys. Rev. D44, 1842 (1991)

    MathSciNet  ADS  Google Scholar 

  16. Zhao X., Li, Y., Maris, P., Vary, J.P.: (2015), in preparation

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xingbo Zhao.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhao, X. Advances in Basis Light-Front Quantization. Few-Body Syst 56, 257–265 (2015). https://doi.org/10.1007/s00601-015-1003-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00601-015-1003-y

Keywords

Navigation