Conservation Laws in Poincar\'e Gauge Theory
Abstract
Basic features of the conservation laws in the Hamiltonian approach to the Poincar\'e gauge theory are presented. It is shown that the Hamiltonian is given as a linear combination of ten first class constraints. The Poisson bracket algebra of these constraints is used to construct the gauge generators. By assuming that the asymptotic symmetry is the global Poincar\'e symmetry, we derived the improved form of the asymptotic generators, and discussed the related conservation laws of energy, momentum, etc.
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