dorsal/arxiv
View SchemaPolaron Variational Methods In The Particle Representation Of Field Theory : II. Numerical Results For The Propagator
| Authors | R. Rosenfelder, A. W. Schreiber |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9504005 |
| URL | https://arxiv.org/abs/nucl-th/9504005 |
| DOI | 10.1103/PhysRevD.53.3354 |
| Journal | Phys.Rev. D53 (1996) 3354-3365 |
Abstract
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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"abstract": "For the scalar Wick-Cutkosky model in the particle representation we perform\na similar variational calculation for the 2-point function as was done by\nFeynman for the polaron problem. We employ a quadratic nonlocal trial action\nwith a retardation function for which several ans\\\"atze are used. The\nvariational parameters are determined by minimizing the variational function\nand in the most general case the nonlinear variational equations are solved\nnumerically. We obtain the residue at the pole, study analytically and\nnumerically the instability of the model at larger coupling constants and\ncalculate the width of the dressed particle.",
"arxiv_id": "nucl-th/9504005",
"authors": [
"R. Rosenfelder",
"A. W. Schreiber"
],
"categories": [
"nucl-th"
],
"doi": "10.1103/PhysRevD.53.3354",
"journal_ref": "Phys.Rev. D53 (1996) 3354-3365",
"title": "Polaron Variational Methods In The Particle Representation Of Field Theory : II. Numerical Results For The Propagator",
"url": "https://arxiv.org/abs/nucl-th/9504005"
},
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