ar X iv : h ep - t h / 97 12 22 9 v 1 2 4 D ec 1 99 7 IF – 15 / 97 December 1997 Conservation Laws in Poincaré Gauge Theory
نویسنده
چکیده
Basic features of the conservation laws in the Hamiltonian approach to the Poincaré 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 asymprotic symmetry is the global Poincaré symmetry, we derived the improved form of the asymptotic generators, and discussed the related conservation laws of energy, momentum, etc. Among various attempts to overcome the problem of quantization of the general relativity, gauge theories of gravity are especially attractive, as they are based on the concept of gauge symmetry which has been very successfull in describing other fundamental interactions in nature. The importance of the Poincaré symmetry in particle physics leads one to consider the Poincaré gauge theory (PGT) as a natural framework for the description of the gravitational phenomena [1]. In this paper we shall a) present the Hamiltonian structure of the general PGT [2, 3], b) construct the gauge generators [4, 5, 6], and c) clarify the relation between gauge symmetries and conservation laws, in case of asymptotically flat spacetimes [7]. Talk presented at the workshop Gauge Theories of Gravitation, Jadwisin, Poland, September (1997) e–mail: [email protected]
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