Abstract:
In the general gauge theory the problem of realisation of the Hilbert space of geometrodynamical state vectors is considered. It is pointed out that the naive realization is contradictory. A consistent realization in the coordinate representation is constructed which is based on the standard canonical quantization carried out in the framework of the reduced phase space of gauge theory.
Citation:
I. L. Buchbinder, S. L. Lyakhovich, “On the coordinate representation in the quantum theory of gauge fields”, TMF, 81:2 (1989), 193–202; Theoret. and Math. Phys., 81:2 (1989), 1146–1153
This publication is cited in the following 5 articles:
Francesco Cianfrani, Giovanni Montani, “Dirac prescription from BRST symmetry in FRW space-time”, Phys. Rev. D, 87:8 (2013)
Rafael Ferraro, Daniel M. Sforza, “Quantization of a generally covariant gauge system with two super Hamiltonian constraints”, Phys. Rev. D, 64:2 (2001)
V I Tkach, J J Rosales, J Socorro, “Supersymmetric FRW model and the ground state of supergravity”, Class. Quantum Grav., 16:3 (1999), 797