Two-fermion bound-state equation using light-front Tamm-Dancoff field theory in 3+1 dimensions

Journal Article · Fri Jan 15 04:00:00 EST 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.47.608· OSTI ID:6899173

Wort, P M ^[1]

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1. Ottawa Carleton Institute for Physics, Carleton University, Ottawa, Ontario, K1S5B6 (Canada)

Attention has recently been paid to light-front Tamm-Dancoff field theory in 1+1 dimensions, including the proposition of a sector-dependent renormalization procedure. We extend this formalism to 3+1 dimensions, and examine a two-fermion system using light-front field theory in the lowest nontrivial Tamm-Dancoff approximation. It is found that the extension to 3+1 dimensions results in an integral equation with a kernel which does not decrease rapidly enough to admit solutions for [ital L][sub 3]=0 states.

• OSTI ID: 6899173
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 47:2; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662340 -- Hadron Interactions-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
BOUND STATE
CALCULATION METHODS
COUPLING
ELEMENTARY PARTICLES
ENERGY
EQUATIONS
FERMIONS
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
HADRONS
HAMILTONIANS
INTEGRAL EQUATIONS
MANY-BODY PROBLEM
MASS
MATHEMATICAL OPERATORS
MESONS
NUCLEAR POTENTIAL
POTENTIALS
QUANTUM OPERATORS
RENORMALIZATION
SELF-ENERGY
TAMM-DANCOFF METHOD
TWO-BODY PROBLEM
YUKAWA POTENTIAL