Random Phase Approximation and Extensions Applied to a Bosonic Field Theory

Details Random Phase Approximation and Extensions Applied to a Bosonic Field Theory Random Phase Approximation and Extensions Applied to a Bosonic Field Theory

2002-01-30

arxiv.org/abs/hep-ph/0201279v2

Eur.Phys.J. A14 (2002) 397-411

Physics

High Energy Physics

High Energy Physics - Phenomenology

30 pages, LaTeX file, 10 figures included, final version accepted in EPJA

Scientific paper

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 $\phi^4$ 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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