Discretized light-cone quantization: e sup + e minus (. gamma. ) model for positronium

Journal Article · Wed Apr 15 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.2968· OSTI ID:7302084

Kaluza, M ^[1]; Pauli, H C ^[2]

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1. Max-Planck-Institut fuer Kernphysik, Postfach 103980, W-6900 Heidelberg 1 (Germany) Center for Applied Mathematics and Theoretical Physics, University of Maribor, Krekova 2, YU-62000 Maribor, Slovenia (Yugoslavia)
2. Max-Planck-Institut fuer Kernphysik, Postfach 103980, W-6900 Heidelberg 1 (Germany)

The method of discretized light-cone quantization is applied to gauge theory in 3+1 dimensions and tested by calculating the spectrum and the wave functions for positronium. Working in a Fock-space expansion, only the electron-positron and the electron-positron-photon states are included. The light-cone Hamiltonian matrix is constructed blockwise, and diagonalized using the Bauer-Rutishauser simultaneous iteration algorithm for sparse matrices. At the current level of accuracy of about 10%, the model reproduces the binding energy and the charge radius of the positronium ground state for the coupling constant of {alpha}=0.3. The distribution functions for fermions and photons are presented for the ground state. In addition the light-cone Schroedinger equation has been solved.

• OSTI ID: 7302084
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 45:8; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LIGHT CONE
QUANTIZATION
POSITRONIUM
WAVE FUNCTIONS
ALGORITHMS
BINDING ENERGY
COUPLING CONSTANTS
DISTRIBUTION FUNCTIONS
FERMIONS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
HAMILTONIANS
ITERATIVE METHODS
MATRIX ELEMENTS
PHOTONS
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
SCHROEDINGER EQUATION
BOSONS
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MASSLESS PARTICLES
MATHEMATICAL LOGIC
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPACE-TIME
WAVE EQUATIONS
662220* - Quantum Electrodynamics- (1992-)
662230 - Quantum Chromodynamics- (1992-)