Hadronic Spectra and Light-Front Wave Functions in Holographic QCD

Stanley J. Brodsky and Guy F. de Téramond
Phys. Rev. Lett. 96, 201601 – Published 22 May 2006

Abstract

We show how the string amplitude Φ(z) defined on the fifth dimension in AdS5 space can be precisely mapped to the light-front wave functions of hadrons in physical space-time. We find an exact correspondence between the holographic variable z and an impact variable ζ, which represents the measure of transverse separation of the constituents within the hadrons. In addition, we derive effective four dimensional Schrödinger equations for the bound states of massless quarks and gluons which exactly reproduce the anti–de Sitter conformal field theory results and give a realistic description of the light-quark meson and baryon spectrum as well as the form factors for spacelike Q2. Only one parameter which sets the mass scale, ΛQCD, is introduced.

  • Figure
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  • Received 28 February 2006

DOI:https://doi.org/10.1103/PhysRevLett.96.201601

©2006 American Physical Society

Authors & Affiliations

Stanley J. Brodsky1 and Guy F. de Téramond2

  • 1Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309, USA
  • 2Universidad de Costa Rica, San José, Costa Rica

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Issue

Vol. 96, Iss. 20 — 26 May 2006

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