Random Phase Approximation and Extensions Applied to a Bosonic Field Theory

2002/01/31 by H. Hansen, G. Chanfray, D. Davesne +1
Physics and Astronomy · #hep-ph #nucl-th

paper · pdf

published as Eur.Phys.J. A14 (2002) 397-411 · 30 pages, LaTeX file, 10 figures included, final version accepted in EPJA

arxiv created 2002/09/19 · arxiv updated 2009/11/30

Abstract

An application of a self-consistent version of RPA to quantum field theory with broken symmetry is presented. Although our approach can be applied to any bosonic field theory, we specifically study the ϕ⁴ theory in 1+1 dimensions. We show that standard RPA approach leads to an instability which can be removed when going to a superior version,i.e. the renormalized RPA. We present a method based on the so-called charging formula of the many electron problem to calculate the correlation energy and the RPA effective potential.

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