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Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity - Couverture rigide

Stevenson, P M

 
9789811255687: Renormalized Perturbation Theory And Its Optimization By The Principle Of Minimal Sensitivity
Couverture rigide
ISBN 10 : 9811255687 ISBN 13 : 9789811255687
Editeur : WSPC, 2022

Synopsis

The results of renormalized perturbation theory, in QCD and other quantum field theories, are ambiguous at any finite order, due to renormalization-scheme dependence. The perturbative results depend upon extraneous scheme variables, including the renormalization scale, that the exact result cannot depend on. Such 'non-invariant approximations' occur in many other areas of physics, too. The sensible strategy is to find where the approximant is stationary under small variations of the extraneous variables. This general principle is explained and illustrated with various examples. Also dimensional transmutation, RG equations, the essence of renormalization and the origin of its ambiguities are explained in simple terms, assuming little or no background in quantum field theory. The minimal-sensitivity approach leads to 'optimized perturbation theory, ' which is developed in detail. Applications to Re⁺e⁻, the infrared limit, and to the optimization of factorized quantities, are also discussed thoroughly.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
WSPC
Date d'édition
2022
Langue
anglais
ISBN 10 
9811255687
ISBN 13 
9789811255687
Reliure
Relié
Nombre de pages
296
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

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