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

Journal Article · Thu Aug 05 04:00:00 EDT 2010 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3483402· OSTI ID:21426465

Teramond, Guy F. de ^[1]; Brodsky, Stanley J ^[2]

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1. Universidad de Costa Rica, San Jose (Costa Rica)
2. SLAC National Accelerator Laboratory, Stanford University, Stanford, CA 94309 (United States)

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.

• OSTI ID: 21426465
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1257; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
APPROXIMATIONS
BARYON SPECTROSCOPY
BASIC INTERACTIONS
BOUND STATE
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
DIRAC EQUATION
EIGENVALUES
ELECTRODYNAMICS
ENERGY RANGE
EQUATIONS
EQUATIONS OF MOTION
FERMIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GRAVITATION
HAMILTONIANS
INTERACTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATTER
MESON SPECTROSCOPY
PARTIAL DIFFERENTIAL EQUATIONS
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MATTER
QUARKS
RELATIVISTIC RANGE
SEMICLASSICAL APPROXIMATION
SPACE
SPECTROSCOPY
STRONG INTERACTIONS
WAVE EQUATIONS
WAVE FUNCTIONS