Polaron Variational Methods In The Particle Representation Of Field Theory : II. Numerical Results For The Propagator

Details Polaron Variational Methods In The Particle Representation Of Field Theory : II. Numerical Results For The Propagator Polaron Variational Methods In The Particle Representation Of Field Theory : II. Numerical Results For The Propagator

1995-04-06

arxiv.org/abs/nucl-th/9504005v1

Phys.Rev. D53 (1996) 3354-3365

Physics

Nuclear Physics

Nuclear Theory

25 pages standard LaTeX, 9 uuencoded postscript figures embedded with psfig.sty

Scientific paper

10.1103/PhysRevD.53.3354

For the scalar Wick-Cutkosky model in the particle representation we perform a similar variational calculation for the 2-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 ans\"atze 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.

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