LightFront Quantization Approach to the GaugeGravity Correspondence and Hadron Spectroscopy
Abstract
We find a correspondence between semiclassical QCD quantized on the lightfront and a dual gravity model in antide Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This correspondencelightfront holographyleads to a lightfront Hamiltonian and relativistic boundstate 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 lightfront time. The eigenvalues of the resulting lightfront Schroedinger and Dirac equations are consistent with the observed light meson and baryon spectrum, and the eigenmodes provide the lightfront wavefunctions, the probability amplitudes describing the dynamics of the hadronic constituents. The lightfront 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 boundstate equations.
 Authors:

 Universidad de Costa Rica, San Jose (Costa Rica)
 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 0094243X
 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. LightFront Quantization Approach to the GaugeGravity Correspondence and Hadron Spectroscopy. United States: N. p., 2010.
Web. doi:10.1063/1.3483402.
Teramond, Guy F. de, & Brodsky, Stanley J. LightFront Quantization Approach to the GaugeGravity Correspondence and Hadron Spectroscopy. United States. https://doi.org/10.1063/1.3483402
Teramond, Guy F. de, and Brodsky, Stanley J. 2010.
"LightFront Quantization Approach to the GaugeGravity Correspondence and Hadron Spectroscopy". United States. https://doi.org/10.1063/1.3483402.
@article{osti_21426465,
title = {LightFront Quantization Approach to the GaugeGravity Correspondence and Hadron Spectroscopy},
author = {Teramond, Guy F. de and Brodsky, Stanley J},
abstractNote = {We find a correspondence between semiclassical QCD quantized on the lightfront and a dual gravity model in antide Sitter (AdS) space, thus providing an initial approximation to QCD in its strongly coupled regime. This correspondencelightfront holographyleads to a lightfront Hamiltonian and relativistic boundstate 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 lightfront time. The eigenvalues of the resulting lightfront Schroedinger and Dirac equations are consistent with the observed light meson and baryon spectrum, and the eigenmodes provide the lightfront wavefunctions, the probability amplitudes describing the dynamics of the hadronic constituents. The lightfront 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 boundstate equations.},
doi = {10.1063/1.3483402},
url = {https://www.osti.gov/biblio/21426465},
journal = {AIP Conference Proceedings},
issn = {0094243X},
number = 1,
volume = 1257,
place = {United States},
year = {2010},
month = {8}
}