Rigorous control of the non-perturbative corrections to the double expansion in $g$ and $g^2\ln(g)$ for the $ϕ^4_3$-trajectory in the hierarchical approximation

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dc.creatorWieczerkowski, Christian
dc.date1998-09-09
dc.date.accessioned2026-07-07T03:40:07Z
dc.date.available2026-07-07T03:40:07Z
dc.descriptionWe study the renormalization invariant trajectory of the $ϕ^4$-perturbation of the free field fixed point in the hierarchical approximation. We parametrize it by a running $ϕ^4$-coupling $g$ with linear step $β$-function. We rigorously control the non-perturbative corrections to finite order approximants from double perturbation theory in $g$ and $g^2\ln(g)$. The construction uses a contraction mapping for the extended renormalization group composed of a hierarchical block spin transformation with a flow of $g$.
dc.description42 pages LaTeX2e
dc.identifierhttps://arxiv.org/abs/hep-lat/9809050
dc.identifierhttp://arxiv.org/abs/hep-lat/9809050
dc.identifierHelv.Phys.Acta 72 (1999) 445-483
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/39161
dc.subjectHigh Energy Physics - Lattice
dc.titleRigorous control of the non-perturbative corrections to the double expansion in $g$ and $g^2\ln(g)$ for the $ϕ^4_3$-trajectory in the hierarchical approximation
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