Covariant Extended Phase Space for Fields on Curved Background

Details Covariant Extended Phase Space for Fields on Curved Background Covariant Extended Phase Space for Fields on Curved Background

2012-01-19

arxiv.org/abs/1201.4092v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages. arXiv admin note: substantial text overlap with arXiv:1104.5095

Scientific paper

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.

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