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Title: Light-Front Holography and the Light-Front Schrodinger Equation

Abstract

One of the most important nonperturbative methods for solving QCD is quantization at fixed light-front time {tau} = t+z=c - Dirac's 'Front Form'. The eigenvalues of the light-front QCD Hamiltonian predict the hadron spectrum and the eigensolutions provide the light-front wavefunctions which describe hadron structure. More generally, we show that the valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a single-variable relativistic equation of motion, analogous to the nonrelativistic radial Schrodinger equation, with an effective confining potential U which systematically incorporates the effects of higher quark and gluon Fock states. We outline a method for computing the required potential from first principles in QCD. The holographic mapping of gravity in AdS space to QCD, quantized at fixed light-front time, yields the same light front Schrodinger equation; in fact, the soft-wall AdS/QCD approach provides a model for the light-front potential which is color-confining and reproduces well the light-hadron spectrum. One also derives via light-front holography a precise relation between the bound-state amplitudes in the fifth dimension of AdS space and the boost-invariant light-front wavefunctions describing the internal structure of hadrons in physical space-time. The elastic and transition form factors of the pion and the nucleons are found to be wellmore » described in this framework. The light-front AdS/QCD holographic approach thus gives a frame-independent first approximation of the color-confining dynamics, spectroscopy, and excitation spectra of relativistic light-quark bound states in QCD.« less

Authors:
;
Publication Date:
Research Org.:
SLAC National Accelerator Lab., Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1049748
Report Number(s):
SLAC-PUB-15211
arXiv:1208.3020; TRN: US1204476
DOE Contract Number:  
AC02-76SF00515
Resource Type:
Conference
Resource Relation:
Conference: Invited talk at QCD Evolution Workshop, 14-17 May 2012: Newport News, Virginia, USA
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; AMPLITUDES; APPROXIMATIONS; BOUND STATE; CEBAF ACCELERATOR; DIMENSIONS; EIGENVALUES; EXCITATION; FORM FACTORS; GLUONS; HADRONS; HAMILTONIANS; HOLOGRAPHY; NUCLEONS; PIONS; QUANTIZATION; QUANTUM CHROMODYNAMICS; QUARKS; SPECTRA; SPECTROSCOPY; VALENCE; Phenomenology-HEP, Theory-HEP,HEPPH, HEPTH

Citation Formats

Brodsky, Stanley J, and de Teramond, Guy. Light-Front Holography and the Light-Front Schrodinger Equation. United States: N. p., 2012. Web.
Brodsky, Stanley J, & de Teramond, Guy. Light-Front Holography and the Light-Front Schrodinger Equation. United States.
Brodsky, Stanley J, and de Teramond, Guy. Wed . "Light-Front Holography and the Light-Front Schrodinger Equation". United States. https://www.osti.gov/servlets/purl/1049748.
@article{osti_1049748,
title = {Light-Front Holography and the Light-Front Schrodinger Equation},
author = {Brodsky, Stanley J and de Teramond, Guy},
abstractNote = {One of the most important nonperturbative methods for solving QCD is quantization at fixed light-front time {tau} = t+z=c - Dirac's 'Front Form'. The eigenvalues of the light-front QCD Hamiltonian predict the hadron spectrum and the eigensolutions provide the light-front wavefunctions which describe hadron structure. More generally, we show that the valence Fock-state wavefunctions of the light-front QCD Hamiltonian satisfy a single-variable relativistic equation of motion, analogous to the nonrelativistic radial Schrodinger equation, with an effective confining potential U which systematically incorporates the effects of higher quark and gluon Fock states. We outline a method for computing the required potential from first principles in QCD. The holographic mapping of gravity in AdS space to QCD, quantized at fixed light-front time, yields the same light front Schrodinger equation; in fact, the soft-wall AdS/QCD approach provides a model for the light-front potential which is color-confining and reproduces well the light-hadron spectrum. One also derives via light-front holography a precise relation between the bound-state amplitudes in the fifth dimension of AdS space and the boost-invariant light-front wavefunctions describing the internal structure of hadrons in physical space-time. The elastic and transition form factors of the pion and the nucleons are found to be well described in this framework. The light-front AdS/QCD holographic approach thus gives a frame-independent first approximation of the color-confining dynamics, spectroscopy, and excitation spectra of relativistic light-quark bound states in QCD.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {2012},
month = {8}
}

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