Poincare Cartan Form for Gauge Fields in Curved Background
General Relativity and Quantum Cosmology
2011-05-16 v1
Abstract
The `directly Hamiltonian' field theory in the extended phase space is applied to gauge fields in curved spacetime background. These fields being differential 1-forms, have canonical momenta which are 2-forms. The Poincare-Cartan 4-forms for matter and gauge fields have to be modified with the exterior derivatives replaced by the covariant derivative for maintaining gauge invariance.
Keywords
Cite
@article{arxiv.1105.2696,
title = {Poincare Cartan Form for Gauge Fields in Curved Background},
author = {Pankaj Sharan},
journal= {arXiv preprint arXiv:1105.2696},
year = {2011}
}
Comments
Latex2e 10 pages