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: USDOE; USDOE, Washington, DC (USA)
• DOE Contract Number: AC03-76SF00515
• OSTI ID: 5543548
• Report Number(s): SLAC-PUB-5558; CONF-9103180-1; ON: DE91013991
• Resource Relation: Conference: 30. Schladming winter school in particle physics on field theory, Schladming (Austria), Mar 1991
• Country of Publication: United States
• Language: English

Related Subjects

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