Covariant Extended Phase Space for Fields on Curved Background
General Relativity and Quantum Cosmology
2012-01-20 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
It is shown that the nature of physical time requires the extended phase-space in mechanics to have a bundle structure with time as the 1-dimensional base manifold and the phase space as the fiber. This bundle picture of the extended phase space is then applied to fields in a covariant, `directly' Hamiltonian formalism. Variational principle in the covariant phase-space is discussed, Noether currents calculated for symmetry fields and a new bracket analogous to the Peierls bracket is defined.
Cite
@article{arxiv.1201.4092,
title = {Covariant Extended Phase Space for Fields on Curved Background},
author = {Pankaj Sharan},
journal= {arXiv preprint arXiv:1201.4092},
year = {2012}
}
Comments
19 pages. arXiv admin note: substantial text overlap with arXiv:1104.5095