Non perturbative renormalisation group and momentum dependence of $n$-point functions (I)

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dc.creatorBlaizot, J. P.
dc.creatorMendez-Galain, R.
dc.creatorWschebor, N.
dc.date2005-12-28
dc.date2006-03-23
dc.date.accessioned2026-07-07T10:45:34Z
dc.date.available2026-07-07T10:45:34Z
dc.descriptionWe present an approximation scheme to solve the Non Perturbative Renormalization Group equations and obtain the full momentum dependence of the $n$-point functions. It is based on an iterative procedure where, in a first step, an initial ansatz for the $n$-point functions is constructed by solving approximate flow equations derived from well motivated approximations. These approximations exploit the derivative expansion and the decoupling of high momentum modes. The method is applied to the O($N$) model. In leading order, the self energy is already accurate both in the perturbative and the scaling regimes. A stringent test is provided by the calculation of the shift $ΔT_c$ in the transition temperature of the weakly repulsive Bose gas, a quantity which is particularly sensitive to all momentum scales. The leading order result is in agreement with lattice calculations, albeit with a theoretical uncertainty of about 25%.
dc.description48 pages, 15 figures A few minor corrections. A reference added
dc.identifierhttps://arxiv.org/abs/hep-th/0512317
dc.identifierhttp://arxiv.org/abs/hep-th/0512317
dc.identifierPhys.Rev.E74:051116,2006
dc.identifierdoi:10.1103/PhysRevE.74.051116
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/182951
dc.subjectHigh Energy Physics - Theory
dc.subjectOther Condensed Matter
dc.titleNon perturbative renormalisation group and momentum dependence of $n$-point functions (I)
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