Polymer quantization of the CGHS model: II

Details Polymer quantization of the CGHS model: II Polymer quantization of the CGHS model: II

Oct 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007cqgra..24.4989l&link_type=abstract

Classical and Quantum Gravity, Volume 24, Issue 20, pp. 4989-5009 (2007).

Physics

1

Scientific paper

We continue our analysis of the polymer quantization of CGHS model initiated by Laddha (Class. Quantum Grav. 24 4969 [1]). In [1] we obtained the physical Hilbert space and defined a complete set of Dirac observables in quantum theory. In this paper we tackle the problem of time. Combining the ideas from parametrized field theory with certain relational observables, evolution is defined in the quantum theory in the Heisenberg picture. Finally, the dilaton field is quantized on the physical Hilbert space which carries information about quantum geometry.

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