On the Relation between Operator Constraint -, Master Constraint -, Reduced Phase Space -, and Path Integral Quantisation - General Relativity and Quantum CosmologyReportar como inadecuado




On the Relation between Operator Constraint -, Master Constraint -, Reduced Phase Space -, and Path Integral Quantisation - General Relativity and Quantum Cosmology - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: Path integral formulations for gauge theories must start from the canonicalformulation in order to obtain the correct measure. A possible avenue to deriveit is to start from the reduced phase space formulation. In this article wereview this rather involved procedure in full generality. Moreover, wedemonstrate that the reduced phase space path integral formulation formallyagrees with the Dirac-s operator constraint quantisation and, morespecifically, with the Master constraint quantisation for first classconstraints. For first class constraints with non trivial structure functionsthe equivalence can only be established by passing to Abelianised constraintswhich is always possible locally in phase space. Generically, the correctconfiguration space path integral measure deviates from the exponential of theLagrangian action. The corrections are especially severe if the theory suffersfrom second class secondary constraints. In a companion paper we compute thesecorrections for the Holst and Plebanski formulations of GR on which currentspin foam models are based.



Autor: Muxin Han, Thomas Thiemann

Fuente: https://arxiv.org/







Documentos relacionados