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Author Wieczerkowski, C.
Source CiteSeerX
Content type Text
File Format PDF
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Hierarchical Phi ♦ Renormalization Group ♦ Central Problem ♦ Renormalization Group Transformation ♦ Contraction Mapping ♦ Trivial Renormalization Group ♦ Invariant Unstable Manifold ♦ Renormalization Group Wil71 ♦ Point Tangent ♦ Non-perturbative Renormalization ♦ Euclidean Quantum Field Theory Gj73 ♦ Linear Step Fi-function ♦ Perturbation Theory ♦ Hierarchical Approximation ♦ Rigorous Construction ♦ Fixed Point ♦ Scalar Oe ♦ Renormalization Group Br
Abstract We study the invariant unstable manifold of the trivial renormalization group fixed point tangent to the OE 4 -vertex in the hierarchical approximation. We parametrize it by a running OE 4 -coupling with linear step fi-function. The manifold is studied as a fixed point of the renormalization group composed with a flow of the running coupling. We present a rigorous construction of it beyond perturbation theory by means of a contraction mapping. 1 Introduction The non-perturbative renormalization of the scalar OE 4 -vertex is a central problem in Euclidean quantum field theory [GJ73, FO76, Gal78, Gal79, BCG+80, Bal83, GK85a, GK85b, GN85, FMRS87, P90, BDH93]. The key to its solution is the renormalization group [Wil71, Wil72, WK74, Gal85, GK83, GK86, GJ87, R91, Bry92, FFS92, BG95]. Its renormalization is a mapping through an increasing number of renormalization group transformations, simultaneously tuning the OE 4 -coupling besides other parameters. The renormalization group br...
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Publisher Date 1994-01-01