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Basis Light-Front Quantization: Recent Progress and Future Prospects

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Abstract

Light-front Hamiltonian field theory has advanced to the stage of becoming a viable non-perturbative method for solving forefront problems in strong interaction physics. Physics drivers include hadron mass spectroscopy, generalized parton distribution functions, spin structures of the hadrons, inelastic structure functions, hadronization, particle production by strong external time-dependent fields in relativistic heavy ion collisions, and many more. We review selected recent results and future prospects with basis light-front quantization that include fermion-antifermion bound states in QCD, fermion motion in a strong time-dependent external field and a novel non-perturbative renormalization scheme.

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References

  1. Bakker, B.L.G., et al.: Light-front quantum chromodynamics: a framework for the analysis of hadron physics. Nucl. Phys. Proc. Suppl. 251–252, 165 (2014)

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

    Article  ADS  Google Scholar 

  3. 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 

  4. Vary, J.P.: Hamiltonian light-front field theory: recent progress and tantalizing prospects. Few Body Syst. 52, 331 (2012)

  5. 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  ADS  MathSciNet  MATH  Google Scholar 

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

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

  8. Brodsky, S.J., Diehl, M., Hwang, D.S.: Light-cone wavefunction representation of deeply virtual compton scattering. Nucl. Phys. B 596, 99–124 (2001)

  9. Afanasiev, S., et al.: Photoproduction of J/psi and of high mass e+e- in ultra-peripheral Au+Au collisions at \(s^{**}(1/2) = 200\)-GeV. (PHENIX Collaboration). Phys. Lett. B 679, 321 (2009)

  10. Abbas, E., et al.: Charmonium and \(e^+e^-\) pair photoproduction at mid-rapidity in ultra-peripheral Pb-Pb collisions at \(\sqrt{s_{\rm NN}}\)=2.76 TeV. (ALICE Collaboration). Eur. Phys. J. C 73(11), 2617 (2013)

  11. Navratil, P., Vary, J.P., Barrett, B.R.: Properties of C-12 in the ab initio nuclear shell model. Phys. Rev. Lett. 84, 5728 (2000)

    Article  ADS  Google Scholar 

  12. Navratil, P., Vary, J.P., Barrett, B.R.: Large basis ab initio no-core shell model and its application to C-12. Phys. Rev. C 62, 054311 (2000)

    Article  ADS  Google Scholar 

  13. Maris, P., Vary, J.P., Shirokov, A.M.: Ab initio no-core full configuration calculations of light nuclei. Phys. Rev. C 79, 014308 (2009)

    Article  ADS  Google Scholar 

  14. Barrett, B.R., Navratil, P., Vary, J.P.: Ab initio no core shell model. Prog. Part. Nucl. Phys. 69, 131 (2013)

    Article  ADS  Google Scholar 

  15. 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)

  16. Wiecki, P., Li, Y., Zhao, X., Maris, P., Vary, J.P.: Basis light-front quantization approach to positronium. Phys. Rev. D 91(10), 105009 (2015)

  17. Li, Y., Maris, P., Zhao, X., Vary, J.P.: Heavy quarkonium in a holographic basis. Phys. Letts. B 758, 118 (2016) arXiv:1509.07212 [hep-ph]

  18. Chen, G. et al.: Light front time evolution in intense fields, in preparation

  19. Zhao, X.: Advances in basis light-front quantization. Few Body Syst. 56(6–9), 257 (2015)

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

    Article  ADS  Google Scholar 

  21. Brodsky, S.J., de Teramond, G.F., Dosch, H.G., Erlich, J.: Light-front holographic QCD and emerging confinement. Phys. Rep. 584, 1 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  22. Yang, L.I., Wiecki, P.W., Zhao, X., Maris, P., Vary, J.P.: Introduction to basis light-front quantization approach to QCD bound. In: Schirokov, A.M., Mazur, A.I. (eds.) Proceedings of International Conference on Nuclear Theory Suppercomputing Era (NTSE-2013), Ames, IA, USA, May 1–17, 2013, p. 136. Pacific National University, Khabarovsk (2013)

  23. Maris, P., Wiecki, P., Li, Y., Zhao, X., Vary, J.P.: Bound state calculations in QED and QCD using basis light-front quantization. Acta Phys. Polon. Supp. 6, 321 (2013)

    Article  Google Scholar 

  24. Głazek, S.D.: Similarity flow of a neutral scalar coupled to a fixed source. Acta Phys. Polon. B 42, 1933 (2011)

    Article  Google Scholar 

  25. Trawiński, A.P., Głazek, S.D., Brodsky, S.J., de Téramond, G.F., Dosch, H.G.: Effective confining potentials for QCD. Phys. Rev. D 90, 074017 (2014)

    Article  ADS  Google Scholar 

  26. Chabysheva, S.S., Hiller, J.R.: Dynamical model for longitudinal wave functions in light-front holographic QCD. Ann. Phys. 337, 143–152 (2013)

    Article  ADS  Google Scholar 

  27. Olive, K.A., et al.: (Particle Data Group). Review of Particle Physics. Chin. Phys. C38, 090001 (2014). http://pdg.lbl.gov

  28. Davies, C.T.H., McNeile, C., Follana, E., Lepage, G.P., Na, H., Shigemitsu, J.: Update: Precision Ds decay constant from full lattice QCD using very fine lattices. (HPQCD Collaboration). Phys. Rev. D 82, 114504 (2010)

    ADS  Google Scholar 

  29. McNeile, C., Davies, C.T.H., Follana, E., Hornbostel, K., Lepage, G.P.: Heavy meson masses and decay constants from relativistic heavy quarks in full lattice QCD. (HPQCD Collaboration). Phys. Rev. D 86, 074503 (2012)

    ADS  Google Scholar 

  30. Donald, G.C., Davies, C.T.H., Dowdall, R.J., Follana, E., Hornbostel, K., Koponen, J., Lepage, G.P., McNeile, C.: Precision tests of the \(J/\psi \) from full lattice QCD: mass, leptonic width and radiative decay rate to \(\eta _c\). (HPQCD Collaboration). Phys. Rev. D 86, 094501 (2012)

    ADS  Google Scholar 

  31. Colquhoun, B., Dowdall, R.J., Davies, C.T.H., Hornbostel, K., Lepage, G.P.: \(\Upsilon \) and \(\Upsilon \)’ Leptonic Widths, \(a^b_{\mu }\) and \(m_b\) from full lattice QCD. (HPQCD Collaboration). Phys. Rev. D 91, 074514 (2015)

    ADS  Google Scholar 

  32. Blank, M., Krassnigg, A.: Bottomonium in a Bethe-Salpeter-equation study. Phys. Rev. D 84, 096014 (2011)

    Article  ADS  Google Scholar 

  33. Adhikari, L., Li, Y., Zhao, X., Maris, P., Vary, J.P., El-Hady, A.A.: Form factors and generalized parton distributions in basis light-front quantization. Phys. Rev. C (to appear). arXiv:1602.06027 [nucl-th]

  34. Frederico, T., Pace, E., Pasquini, B., Salme, G.: Pion generalized parton distributions with covariant and light-front constituent quark models. Phys. Rev. D 80, 054021 (2009)

  35. Diehl, M.: Generalized parton distributions. Phys. Rep. 388, 41 (2003)

  36. Brodsky, S.J., de Teramond, G.F.: Light-front dynamics and AdS/QCD correspondence: the pion form factor in the space- and time-like regions. Phys. Rev. D 77, 056007 (2008)

  37. Tuchin, K.: Particle production in strong electromagnetic fields in relativistic heavy-ion collisions. Adv. High Energy Phys. 2013, 490495 (2013)

    Article  MathSciNet  Google Scholar 

  38. McLerran, L.D., Venugopalan, R.: Computing quark and gluon distribution functions for very large nuclei. Phys. Rev. D 49, 2233 (1994)

    Article  ADS  Google Scholar 

  39. Li, Y., Karmanov, V.A., Maris, P., Vary, J.P.: Ab initio approach to the non-perturbative scalar yukawa model. Phys. Lett. B 748, 278 (2015)

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Authors and Affiliations

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

    James P. Vary, Lekha Adhikari, Guangyao Chen, Yang Li, Pieter Maris & Xingbo Zhao

  2. Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China

    Xingbo Zhao

Authors
  1. James P. Vary
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  2. Lekha Adhikari
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  3. Guangyao Chen
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  4. Yang Li
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  5. Pieter Maris
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  6. Xingbo Zhao
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Correspondence to James P. Vary.

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Vary, J.P., Adhikari, L., Chen, G. et al. Basis Light-Front Quantization: Recent Progress and Future Prospects. Few-Body Syst 57, 695–702 (2016). https://doi.org/10.1007/s00601-016-1117-x

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