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Poincare Cartan Form for Gauge Fields in Curved Background

2011/05/13 by Pankaj Sharan, Sharan, Pankaj
Engineering · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum, superfluid, helium dynamics #Superconducting Materials and Applications #gr-qc

paper · pdf · doi:10.48550/arxiv.1105.2696

Latex2e 10 pages

arxiv created 2011/05/13 · openalex publication_date 2011/05/13 · arxiv updated 2011/05/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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