New perturbation theory for quantum field theory: Convergent series instead of asymptotic expansions
type: Item
instance of: scholarly article
title: New perturbation theory for quantum field theory: Convergent series instead of asymptotic expansions
zbMATH Open document ID: 1011.81011
DOI: 10.1023/A:1012025031111
author: V. V. Belokurov
author: Evgeniy T. Shavgulidze
author: Yu. P. Solovyev
published in: Acta Applicandae Mathematicae
publication date: 2003-05-18T00:00:00Z
review text: Developing a correct theory of integration in the Hilbert space \(\text{Map }(M,V)\) (\(M\) is a Riemannian or Lorentzian manifold and \(V\) is a finite-dimensional real or complex vector space) the authors suggest a new approach to perturbation theory for quantum theory which is based on convergent series instead of asymptotic expansions. They show that this approach allows to use the obtained information for finding numerical values with high accuracy.
reviewed by: Boris V. Loginov
Mathematics Subject Classification ID: 81Q15
zbMATH DE Number: 1695151
zbMATH Keywords: perturbation theory
zbMATH Keywords: quantum field theory
MaRDI profile type: Publication
full work available at URL: a:1012025031111
OpenAlex ID: W125483803
description: scientific article; zbMATH DE number 1695151