Equivariance, Variational Principles, and the Feynman Integral

We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's inte...

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Main Author:	George Svetlichny
Format:	Article
Language:	English
Published:	National Academy of Science of Ukraine 2008-03-01
Series:	Symmetry, Integrability and Geometry: Methods and Applications
Subjects:	Lagrangians calculus of variations Euler's equations Noether's theorem equivariance Feynman's integral
Online Access:	http://www.emis.de/journals/SIGMA/2008/032/

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spelling	doaj-f6331ac2fa154fa09412a15b88abfbe02020-11-24T23:23:57ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592008-03-014032Equivariance, Variational Principles, and the Feynman IntegralGeorge SvetlichnyWe argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's integral.http://www.emis.de/journals/SIGMA/2008/032/Lagrangianscalculus of variationsEuler's equationsNoether's theoremequivarianceFeynman's integral
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	George Svetlichny
spellingShingle	George Svetlichny Equivariance, Variational Principles, and the Feynman Integral Symmetry, Integrability and Geometry: Methods and Applications Lagrangians calculus of variations Euler's equations Noether's theorem equivariance Feynman's integral
author_facet	George Svetlichny
author_sort	George Svetlichny
title	Equivariance, Variational Principles, and the Feynman Integral
title_short	Equivariance, Variational Principles, and the Feynman Integral
title_full	Equivariance, Variational Principles, and the Feynman Integral
title_fullStr	Equivariance, Variational Principles, and the Feynman Integral
title_full_unstemmed	Equivariance, Variational Principles, and the Feynman Integral
title_sort	equivariance, variational principles, and the feynman integral
publisher	National Academy of Science of Ukraine
series	Symmetry, Integrability and Geometry: Methods and Applications
issn	1815-0659
publishDate	2008-03-01
description	We argue that the variational calculus leading to Euler's equations and Noether's theorem can be replaced by equivariance and invariance conditions avoiding the action integral. We also speculate about the origin of Lagrangian theories in physics and their connection to Feynman's integral.
topic	Lagrangians calculus of variations Euler's equations Noether's theorem equivariance Feynman's integral
url	http://www.emis.de/journals/SIGMA/2008/032/
work_keys_str_mv	AT georgesvetlichny equivariancevariationalprinciplesandthefeynmanintegral
_version_	1725562647901896704

Equivariance, Variational Principles, and the Feynman Integral

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