Light-cone quantization of quantum chromodynamics

Conference · Sat Jun 01 00:00:00 EDT 1991

OSTI ID:5543548

Brodsky, S J ^[1]; Pauli, H C ^[2]

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1. Stanford Linear Accelerator Center, Menlo Park, CA (USA)
2. Max-Planck-Institut fuer Kernphysik, Heidelberg (Germany, F.R.)

We discuss the light-cone quantization of gauge theories from two perspectives: as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and also as a novel method for simulating quantum field theory on a computer. The light-cone Fock state expansion of wavefunctions at fixed light cone time provides a precise definition of the parton model and a general calculus for hadronic matrix elements. We present several new applications of light-cone Fock methods, including calculations of exclusive weak decays of heavy hadrons, and intrinsic heavy-quark contributions to structure functions. A general nonperturbative method for numerically solving quantum field theories, discretized light-cone quantization,'' is outlined and applied to several gauge theories, including QCD in one space and one time dimension, and quantum electrodynamics in physical space-time at large coupling strength. The DLCQ method is invariant under the large class of light-cone Lorentz transformations, and it can be formulated such at ultraviolet regularization is independent of the momentum space discretization. Both the bound-state spectrum and the corresponding relativistic light-cone wavefunctions can be obtained by matrix diagonalization and related techniques. We also discuss the construction of the light-cone Fock basis, the structure of the light-cone vacuum, and outline the renormalization techniques required for solving gauge theories within the light-cone Hamiltonian formalism.

• Research Organization: Stanford Linear Accelerator Center, Menlo Park, CA (USA)
• Sponsoring Organization: DOE; USDOE, Washington, DC (USA)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5543548
• Report Number(s): SLAC-PUB-5558; CONF-9103180--1; ON: DE91013991
• Country of Publication: United States
• Language: English

Related Subjects

645200* -- High Energy Physics-- Particle Interactions & Properties-Theoretical
645400 -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
BOUND STATE
CHARMONIUM
CROSS SECTIONS
DECAY
DIFFERENTIAL EQUATIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GLUONS
HADRONS
HAMILTONIANS
INVARIANCE PRINCIPLES
J PSI-3097 MESONS
LAGRANGIAN FUNCTION
LIGHT CONE
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MESONS
MOMENTUM TRANSFER
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE DECAY
PERTURBATION THEORY
POSTULATED PARTICLES
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARKONIUM
QUARKS
SCHROEDINGER EQUATION
SPACE-TIME
STRUCTURE FUNCTIONS
TAMM-DANCOFF METHOD
VECTOR MESONS
WAVE EQUATIONS
WAVE FUNCTIONS