Equivariance, Variational Principles, and the Feynman Integral

Details Equivariance, Variational Principles, and the Feynman Integral Equivariance, Variational Principles, and the Feynman Integral

2007-11-28

arxiv.org/abs/0711.4550v2

SIGMA 4 (2008), 032, 13 pages

Physics

Mathematical Physics

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2008.032

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.

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