Renormalization in classical mechanics and many body quantum field theory
type: Item
instance of: scholarly article
title: Renormalization in classical mechanics and many body quantum field theory
zbMATH Open document ID: 0819.70014
DOI: 10.1007/BF02790365
author: Joel Feldman
author: E. Trubowitz
published in: Journal d'Analyse Mathématique
publication date: 1994-09-19T00:00:00Z
review text: We attempt to give a pedagogical introduction to perturbative renormalization. Our approach is first to describe, following Linstedt and Poincaré, the renormalization of formal perturbation expansions for quasi-periodic orbits in Hamiltonian mechanics. We then discuss the renormalization of the formal ground state energy density of a many fermion system. The construction of formal quasi-periodic orbits is carried out in detail to provide a relatively simple model for the considerably more involved, and perhaps less familiar, perturbative analysis of a field theory.
Mathematics Subject Classification ID: 70H99
Mathematics Subject Classification ID: 81T10
Mathematics Subject Classification ID: 81V70
zbMATH DE Number: 640339
zbMATH Keywords: perturbation expansions
zbMATH Keywords: quasi-periodic orbits
zbMATH Keywords: ground state energy density
zbMATH Keywords: many fermion system
MaRDI profile type: Publication
cites work: Q3482064
cites work: Q3971731
cites work: Q3669422
cites work: Diophantine approximation
cites work: Iteration of analytic functions
full work available at URL: https://doi.org/10.1007/bf02790365
OpenAlex ID: W2073212173
description: scientific article; zbMATH DE number 640339