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Killing Symmetries as Hamiltonian Constraints

2015/11/18 by Luca Lusanna
Physics and Astronomy · #gr-qc #astro-ph.HE #hep-th

paper · pdf · doi:10.1142/s0219887816500444

26 pages. arXiv admin note: text overlap with arXiv:1401.1370, arXiv:1108.3224

arxiv created 2015/11/18 · arxiv updated 2016/04/20

Abstract

The existence of a Killing symmetry in a gauge theory is equivalent to the addition of extra Hamiltonian constraints in its phase space formulation, which imply restrictions both on the Dirac observables (the gauge invariant physical degrees of freedom) and on the gauge freedom. When there is a time-like Killing vector field only pure gauge electromagnetic fields survive in Maxwell theory in Minkowski space-time , while in ADM canonical gravity in asymptotically Minkowskian space-times only inertial effects without gravitational waves survive.

Citations