Solving relativistic bound-state problems in a self-interacting complex scalar field model by discretized light-cone quantization in 1+1 dimensions

Journal Article · Tue Mar 15 00:00:00 EST 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.49.2997· OSTI ID:5213500

Ghosh, S N ^[1]

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1. Department of Materials Science, Indian Association for the Cultivation of Science, Jadavpur, Calcutta 700032 (India)

The discretized light-cone quantization method is applied to study two-body relativistic bound-state problems in a self-interacting complex scalar field model in 1+1 dimensions. The interaction Hamiltonian is constructed in the discretized version in the light-cone formulation of quantum field theory and the problem is numerically solved by diagonalizing the invariant-mass operator in a truncated Fock-space basis in the positive-charge sector of the field. Results for binding energies, valence wave functions, structure functions, and the valence and nonvalence contributions to the momentum distribution functions are presented. Solutions of the problems in three-body and multibody states are also discussed.

• OSTI ID: 5213500
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 49:6; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
QUANTUM FIELD THEORY
BOUND STATE
LIGHT CONE
SCALAR FIELDS
BINDING ENERGY
HAMILTONIANS
QUANTIZATION
RELATIVISTIC RANGE
STRUCTURE FUNCTIONS
TWO-BODY PROBLEM
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS
ENERGY
ENERGY RANGE
FIELD THEORIES
FUNCTIONS
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
SPACE-TIME
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)