Dynamical model for longitudinal wave functions in light-front holographic QCD

Sophia S. Chabysheva, John R. Hiller

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


We construct a Schrödinger-like equation for the longitudinal wave function of a meson in the valence qq̄ sector, based on the 'tHooft model for large. N two-dimensional QCD, and combine this with the usual transverse equation from light-front holographic QCD, to obtain a model for mesons with massive quarks. The computed wave functions are compared with the wave function ansatz of Brodsky and de Téramond and used to compute decay constants and parton distribution functions. The basis functions used to solve the longitudinal equation may be useful for more general calculations of meson states in QCD.

Original languageEnglish (US)
Pages (from-to)143-152
Number of pages10
JournalAnnals of Physics
StatePublished - Oct 2013

Bibliographical note

Funding Information:
This work was supported in part by the Department of Energy through Contract No. DE-FG02-98ER41087 . We thank G.F. de Téramond and S.J. Brodsky for helpful comments.


  • AdS correspondence
  • Holographic QCD
  • Light-front Schrödinger equation
  • Quark model

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