Polaron variational methods in the particle representation of field theory. II. Numerical results for the propagator

Journal Article · Fri Mar 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.3354· OSTI ID:279220

Rosenfelder, R ^[1]; Schreiber, A W ^[1]

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1. Paul Scherrer Institute, CH-5232 Villigen PSI (Switzerland)

For the scalar Wick-Cutkosky model in the particle representation we perform a similar variational calculation for the two-point function as was done by Feynman for the polaron problem. We employ a quadratic nonlocal trial action with a retardation function for which several {ital Ans{umlt a}tze} are used. The variational parameters are determined by minimizing the variational function and in the most general case the nonlinear variational equations are solved numerically. We obtain the residue at the pole, study analytically and numerically the instability of the model at larger coupling constants, and calculate the width of the dressed particle. {copyright} {ital 1996 The American Physical Society.}

• OSTI ID: 279220
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 53; ISSN 0556-2821; ISSN PRVDAQ
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COUPLING CONSTANTS
FIELD THEORIES
INSTABILITY
NUMERICAL ANALYSIS
PROPAGATOR
VARIATIONAL METHODS