Random Phase Approximation and Extensions Applied to a Bosonic Field Theory
High Energy Physics - Phenomenology
2007-05-23 v2 Nuclear Theory
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 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.
Cite
@article{arxiv.hep-ph/0201279,
title = {Random Phase Approximation and Extensions Applied to a Bosonic Field Theory},
author = {H. Hansen and G. Chanfray and D. Davesne and P. Schuck},
journal= {arXiv preprint arXiv:hep-ph/0201279},
year = {2007}
}
Comments
30 pages, LaTeX file, 10 figures included, final version accepted in EPJA