skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Light-Front Quantization Approach to the Gauge-Gravity Correspondence and Hadron Spectroscopy

Abstract

We find a correspondence between semiclassical QCD quantized on the light-front and a dual gravity model in anti--de Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This correspondence--light-front holography--leads to a light-front Hamiltonian and relativistic bound-state wave equations that are functions of an invariant impact variable {zeta} which measures the separation of the quark and gluonic constituents within hadrons at equal light-front time. The eigenvalues of the resulting light-front Schroedinger and Dirac equations are consistent with the observed light meson and baryon spectrum, and the eigenmodes provide the light-front wavefunctions, the probability amplitudes describing the dynamics of the hadronic constituents. The light-front equations of motion, which are dual to an effective classical gravity theory, possess remarkable algebraic and integrability properties which are dictated by the underlying conformal properties of the theory. We extend the algebraic construction to include a confining potential while preserving the integrability of the mesonic and baryonic bound-state equations.

Authors:
 [1];  [2]
  1. Universidad de Costa Rica, San Jose (Costa Rica)
  2. SLAC National Accelerator Laboratory, Stanford University, Stanford, CA 94309 (United States)
Publication Date:
OSTI Identifier:
21426465
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 1257; Journal Issue: 1; Conference: HADRON 2009: 13. international conference on hadron spectroscopy, Tallahassee, FL (United States), 29 Nov - 4 Dec 2009; Other Information: DOI: 10.1063/1.3483402; (c) 2010 American Institute of Physics; Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANTI DE SITTER SPACE; BARYON SPECTROSCOPY; BOUND STATE; DIRAC EQUATION; EIGENVALUES; EQUATIONS OF MOTION; GAUGE INVARIANCE; GRAVITATION; HAMILTONIANS; MESON SPECTROSCOPY; QUANTIZATION; QUANTUM CHROMODYNAMICS; QUANTUM ELECTRODYNAMICS; QUARK MATTER; QUARKS; RELATIVISTIC RANGE; SEMICLASSICAL APPROXIMATION; STRONG INTERACTIONS; WAVE FUNCTIONS; APPROXIMATIONS; BASIC INTERACTIONS; CALCULATION METHODS; DIFFERENTIAL EQUATIONS; ELECTRODYNAMICS; ENERGY RANGE; EQUATIONS; FERMIONS; FIELD EQUATIONS; FIELD THEORIES; FUNCTIONS; INTERACTIONS; INVARIANCE PRINCIPLES; MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATTER; PARTIAL DIFFERENTIAL EQUATIONS; QUANTUM FIELD THEORY; QUANTUM OPERATORS; SPACE; SPECTROSCOPY; WAVE EQUATIONS

Citation Formats

Teramond, Guy F. de, and Brodsky, Stanley J. Light-Front Quantization Approach to the Gauge-Gravity Correspondence and Hadron Spectroscopy. United States: N. p., 2010. Web. doi:10.1063/1.3483402.
Teramond, Guy F. de, & Brodsky, Stanley J. Light-Front Quantization Approach to the Gauge-Gravity Correspondence and Hadron Spectroscopy. United States. https://doi.org/10.1063/1.3483402
Teramond, Guy F. de, and Brodsky, Stanley J. 2010. "Light-Front Quantization Approach to the Gauge-Gravity Correspondence and Hadron Spectroscopy". United States. https://doi.org/10.1063/1.3483402.
@article{osti_21426465,
title = {Light-Front Quantization Approach to the Gauge-Gravity Correspondence and Hadron Spectroscopy},
author = {Teramond, Guy F. de and Brodsky, Stanley J},
abstractNote = {We find a correspondence between semiclassical QCD quantized on the light-front and a dual gravity model in anti--de Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This correspondence--light-front holography--leads to a light-front Hamiltonian and relativistic bound-state wave equations that are functions of an invariant impact variable {zeta} which measures the separation of the quark and gluonic constituents within hadrons at equal light-front time. The eigenvalues of the resulting light-front Schroedinger and Dirac equations are consistent with the observed light meson and baryon spectrum, and the eigenmodes provide the light-front wavefunctions, the probability amplitudes describing the dynamics of the hadronic constituents. The light-front equations of motion, which are dual to an effective classical gravity theory, possess remarkable algebraic and integrability properties which are dictated by the underlying conformal properties of the theory. We extend the algebraic construction to include a confining potential while preserving the integrability of the mesonic and baryonic bound-state equations.},
doi = {10.1063/1.3483402},
url = {https://www.osti.gov/biblio/21426465}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 1257,
place = {United States},
year = {2010},
month = {8}
}