Poincare Cartan Form for Gauge Fields in Curved Background

Details Poincare Cartan Form for Gauge Fields in Curved Background Poincare Cartan Form for Gauge Fields in Curved Background

2011-05-13

arxiv.org/abs/1105.2696v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex2e 10 pages

Scientific paper

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.

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