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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 032, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.032 (Mi sigma285) 		 
Equivariance, Variational Principles, and the Feynman Integral

George Svetlichny

Departamento de Matemática, Pontifícia Unversidade Católica, Rio de Janeiro, Brazil
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DOI: https://doi.org/10.3842/SIGMA.2008.032
Abstract: 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.
Keywords: Lagrangians; calculus of variations; Euler's equations; Noether's theorem; equivariance; Feynman's integral.
Received: November 2, 2007; in final form March 13, 2008; Published online March 19, 2008
Bibliographic databases:
Document Type: Article
MSC: 49N99; 49Q99; 58D30; 58K70; 70S05; 70S10
Language: English
Citation: George Svetlichny, “Equivariance, Variational Principles, and the Feynman Integral”, SIGMA, 4 (2008), 032, 13 pp.
Citation in format AMSBIB
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