Analytic extrapolation in \(L^{\infty}\)-norm: An alternative approach to ``QCD sum rules''
type: Item
instance of: scholarly article
title: Analytic extrapolation in \(L^{\infty}\)-norm: An alternative approach to ``QCD sum rules''
zbMATH Open document ID: 0664.46075
DOI: 10.1007/BF01218623
author: G. Mennessier
author: Guy Auberson
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: In view of physical applications (especially to ``QCD Sum Rules''), the following problem, pertaining to analytic extrapolation techniques, is studied. We are considering ``amplitudes'', which are (real) analytic functions in the complex plane cut along \(\Gamma =[s_ 0,\infty)\). A model \(F_ 0(s)\) of the amplitude is given through the values of \(F_ 0(s)\) on some interval \(\gamma =[s_ 2,s_ 1]\) (with \(s_ 1<s_ 0)\) and the values of its discontinuity on \(\Gamma\). These values are approximate, and are supplemented by prescribed error channels, measured in \(L^{\infty}\)-norm (both on \(\Gamma\) and \(\gamma)\). Investigating the compatibility between these data leads to an extremum problem which is solved up to a point where numerical methods can be implemented.
Mathematics Subject Classification ID: 46N99
Mathematics Subject Classification ID: 46E30
Mathematics Subject Classification ID: 81V25
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 49J27
zbMATH DE Number: 4086349
zbMATH Keywords: quantum chromodynamics
zbMATH Keywords: QCD Sum Rules
zbMATH Keywords: analytic extrapolation
MaRDI profile type: Publication
cites work: Bounds for the continuation of perturbative results to the spectral region
cites work: Solution of an extremum problem pertaining to analytic extrapolation techniques
description: scientific article; zbMATH DE number 4086349