THE CONSTRAINT ALGEBRA OF QUANTUM GRAVITY IN THE LOOP REPRESENTATION

1 October 1995

journal article
Published by World Scientific Pub Co Pte Ltd in International Journal of Modern Physics D

Vol. 4 (5) , 589-616
https://doi.org/10.1142/s0218271895000417

Abstract

We study the algebra of constraints of quantum gravity in the loop representation based on Ashtekar’s new variables. We show by direct computation that the quantum commutator algebra reproduces the classical Poisson bracket one, in the limit in which regulators are removed. The calculation illustrates the use of several computational techniques for the loop representation.

Keywords

CONSTRAINT ALGEBRA
QUANTUM GRAVITY
LOOP REPRESENTATION
COMMUTATOR
CONSTRAINTS
REGULATORS
POISSON BRACKET

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Version 1, 1994-04-28, ArXiv

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