ON THE CONSISTENCY OF THE CONSTRAINT ALGEBRA IN SPIN NETWORK QUANTUM GRAVITY-Reference-Cited by-同舟云学术

ON THE CONSISTENCY OF THE CONSTRAINT ALGEBRA IN SPIN NETWORK QUANTUM GRAVITY

Published:1998-02 Issue:01 Volume:07 Page:97-109
ISSN:0218-2718
Container-title:International Journal of Modern Physics D
language:en
Short-container-title:Int. J. Mod. Phys. D

Author:

GAMBINI RODOLFO¹,LEWANDOWSKI JERZY²,MAROLF DONALD³,PULLIN JORGE⁴

Affiliation:

1. Instituto de Física, Facultad de Ciencias, Tristan Narvaja 1674, Montevideo, Uruguay

2. Max-Planck-Institut für Gravitationsphysik Schlaatzweg, 1 D-14473 Potsdam, Germany

3. Physics Department, Syracuse University, Syracuse, NY 13244-1130, USA

4. Center for Gravitational Physics and Geometry, Department of Physics, 104 Davey Lab, The Pennsylvania State University, University Park, PA 16802, USA

Abstract

We point out several features of the quantum Hamiltonian constraints recently introduced by Thiemann for Euclidean gravity. In particular we discuss the issue of the constraint algebra and of the quantum realization of the object qabVb, which is classically the Poisson Bracket of two Hamiltonians.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218271898000103

Reference7 articles.

1. The physical Hamiltonian in nonperturbative quantum gravity

2. Discreteness of area and volume in quantum gravity

3. Nonperturbative quantum geometries

4. Loop space representation of quantum general relativity

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