Nonperturbative Study of Generalized Ladder Graphs in a {var_phi}{sup 2}{chi} Theory

Journal Article · Mon Jul 01 04:00:00 EDT 1996 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.77.814· OSTI ID:286767

Nieuwenhuis, T; Tjon, J A ^[1]

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1. Institute for Theoretical Physics, University of Utrecht, Princetonplein 5, P.O. Box 80.006, 3508 TA, Utrecht (The Netherlands)

The Feynman-Schwinger representation is used to construct scalar-scalar bound states for the set of all ladder and crossed-ladder graphs in a {var_phi}{sup 2}{chi} theory in 3+1 dimensions. The results are compared to those of the usual Bethe-Salpeter equation in the ladder approximation and of several quasipotential equations. Particularly for large couplings, the ladder predictions are seen to underestimate the binding energy significantly as compared to the generalized ladder case, whereas the solutions of the quasipotential equations provide a better correspondence. Results for the calculated bound state wave functions are also presented. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 286767
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 5 Vol. 77; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BETHE-SALPETER EQUATION
BINDING ENERGY
BOUND STATE
BOUND STATES
CORRECTIONS
COUPLING
FEYNMAN DIAGRAM
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GREEN FUNCTION
KLEIN-GORDON EQUATION
LADDER APPROXIMATION
PHI-1020 MESONS
QUANTUM FIELD THEORY
QUASIPOTENTIAL EQUATION
SCALAR FIELDS
SCHWINGER FUNCTIONAL EQUATIONS
SELF-ENERGY
VERTEX FUNCTIONS
WAVE FUNCTIONS