Phys. Rev. D 53, 3354–3365 (1996)Polaron variational methods in the particle representation of field theory. II. Numerical results for the propagatorReceived 27 March 1995; published in the issue dated 15 March 1996 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 Ansätze 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. © 1996 The American Physical Society. © 1996 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.53.3354
DOI:
10.1103/PhysRevD.53.3354
PACS:
11.80.Fv, 11.10.St, 11.15.Tk
See AlsoSee Also: R. Rosenfelder and A. W. Schreiber, Polaron variational methods in the particle representation of field theory. I. General formalism, Phys. Rev. D 53, 3337 (1996). |
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