Perturbations of conservation laws in field theories
type: Item
instance of: scholarly article
title: Perturbations of conservation laws in field theories
zbMATH Open document ID: 0615.58025
DOI: 10.1016/0003-4916(86)90206-X
author: Judith M. Arms
author: I. M. Anderson
published in: Annals of Physics
publication date: 1986-01-01T00:00:00Z
review text: Conservation laws arising from Noether's theorem are varied to obtain a hierarchy of new conservation laws involving perturbations of the fields and their symmetries. The resulting conserved quantities, called Taub numbers, are obstructions to formal power series solutions of the field equations. The main results give conditions for the existence (conservation), for the triviality (vanishing), and for the gauge invariance of these Taub numbers. Gravitational and gauge fields are used to illustrate the theory; examples of other fields to which the theory can be extended are suggested.
Mathematics Subject Classification ID: 37N99
Mathematics Subject Classification ID: 81T99
Mathematics Subject Classification ID: 58A99
zbMATH DE Number: 3996703
zbMATH Keywords: Noether's theorem
zbMATH Keywords: conservation laws
zbMATH Keywords: perturbations
zbMATH Keywords: symmetries
zbMATH Keywords: Taub numbers
MaRDI profile type: Publication
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full work available at URL: 0003-4916(86)90206-x
OpenAlex ID: W2075679126
description: scientific article; zbMATH DE number 3996703