Geodesic
A retarded action functional for the Dirac polaron
Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 2, pp. 231-238 Cet article a éte moissonné depuis la source Math-Net.Ru

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The ground-state characteristics of the one-dimensional (Dirac) polaron are considered as an example of a system with a retarded interaction functional. Using a path-integral approach, we estimate both the ground-state energy and the effective mass of the polaron within and beyond the most general Gaussian approximation. The leading-order Gaussian contribution to the self-energy slightly improves the Feynman estimate and belongs to the lowest upper bounds available. The next-to-leading non-Gaussian corrections do not significantly perturb the results obtained. For comparison, a lower bound to the ground-state energy is calculated using the Lieb–Yamazaki method. 
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G. Gandbold. A retarded action functional for the Dirac polaron. Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 2, pp. 231-238. http://geodesic.mathdoc.fr/item/TMF_2000_122_2_a6/

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