Use of modified propagators in many-body perturbation theory

Prasad, M. Durga ; Pal, Sourav ; Mukherjee, Debashis (1982) Use of modified propagators in many-body perturbation theory Journal of the Chemical Society, Faraday Transactions 2, 78 (10). pp. 1743-1752. ISSN 0300-9238

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In this paper we examine the efficacy of using modified propagators to sum arbitrary classes of diagrams to all orders in the many-body perturbation theory (MBPT) of Bruckner and Goldstone. The basic idea is to look upon any infinite series involving a skeleton insertion onto a subset of n internal lines as a modification or renormalisation of an n-body propagator. The Dyson equation then allows us to obtain this modified propagator involving a specific self-energy ∑ in terms of poles and residues. A subsequent grafting of this propagator onto the MBPT series for energy would then automatically incorporate the infinite series of appropriate skeleton insertions included in the modified propagator. The self-energy ∑ may be chosen to be either independent of or dependent on frequency, as dictated by convenience. Specific cases where the present viewpoint may serve as a viable alternative to other selective summation techniques are analysed.

Item Type:Article
Source:Copyright of this article belongs to Royal Society of Chemistry.
ID Code:21896
Deposited On:23 Nov 2010 09:04
Last Modified:05 Mar 2011 13:16

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