Equivariance, Variational Principles, and the Feynman Integral
Mathematical Physics
2008-04-25 v2 math.MP
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.
Cite
@article{arxiv.0711.4550,
title = {Equivariance, Variational Principles, and the Feynman Integral},
author = {George Svetlichny},
journal= {arXiv preprint arXiv:0711.4550},
year = {2008}
}
Comments
This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (June 24-30, 2007, Kyiv, Ukraine), published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/