Symmetric Criticality in Classical Field Theory
Mathematical Physics
2015-05-20 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
This is a brief overview of work done by Ian Anderson, Mark Fels, and myself on symmetry reduction of Lagrangians and Euler-Lagrange equations, a subject closely related to Palais' Principle of Symmetric Criticality. After providing a little history, I describe necessary and sufficient conditions on a group action such that reduction of a group-invariant Lagrangian by the symmetry group yields the correct symmetry-reduced Euler-Lagrange equations.
Keywords
Cite
@article{arxiv.1011.3429,
title = {Symmetric Criticality in Classical Field Theory},
author = {C. G. Torre},
journal= {arXiv preprint arXiv:1011.3429},
year = {2015}
}
Comments
12 pages, to appear in the proceedings of the XIX International Fall Workshop on Geometry and Physics