Discretized light-cone quantization and the effective interaction in hadrons

Journal Article · Mon Nov 22 04:00:00 EST 1999 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.1301662· OSTI ID:21210337

Pauli, Hans-Christian ^[1]

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1. Max-Planck-Institut fuer Kernphysik, D-69029 Heidelberg (Germany)

Light-cone quantization of gauge theories is discussed from two perspectives: as a calculational tool for representing hadrons as QCD bound-states of relativistic quarks and gluons, and as a novel method for simulating quantum field theory on a computer. A general non-perturbative method for numerically solving quantum field theories, 'discretized light-cone quantization,' is outlined. Both the bound-state spectrum and the corresponding relativistic wavefunctions can be obtained by matrix diagonalization and related techniques. Emphasis is put on the construction of the light-cone Fock basis and on how to reduce the many-body problem to an effective Hamiltonian. The usual divergences are avoided by cut-offs and subsequently removed by the renormalization group. For the first time, this program is carried out within a Hamiltonian approach, from the beginning to the end. Starting with the QCD-Lagrangian, a regularized effective interaction is derived and renormalized, ending up with an almost solvable integral equation. Its eigenvalues yield the mass spectrum of physical mesons, its eigenfunctions yield their wavefunctions including the higher Fock-space components. An approximate but analytic mass formula is derived for all physical mesons.

• OSTI ID: 21210337
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 494; ISSN 0094-243X; ISSN APCPCS
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
GAUGE INVARIANCE
GLUONS
HAMILTONIANS
LAGRANGIAN FIELD THEORY
LAGRANGIAN FUNCTION
LIGHT CONE
MANY-BODY PROBLEM
MASS FORMULAE
MASS SPECTRA
MATRICES
MESONS
QUANTIZATION
QUANTUM CHROMODYNAMICS
QUARKS
RELATIVISTIC RANGE
RENORMALIZATION
WAVE FUNCTIONS