Matrix Elements of Thiemann's Hamiltonian Constraint in Loop Quantum Gravity

Preprint

31 March 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9703090

Abstract

We present an explicit computation of matrix elements of the hamiltonian constraint operator in non-perturbative quantum gravity. In particular, we consider the euclidean term of Thiemann's version of the constraint and compute its action on trivalent states, for all its natural orderings. The calculation is performed using graphical techniques from the recoupling theory of colored knots and links. We exhibit the matrix elements of the hamiltonian constraint operator in the spin network basis in compact algebraic form.

Keywords

THIEMANN'S HAMILTONIAN
HAMILTONIAN CONSTRAINT
CONSTRAINT OPERATOR
QUANTUM GRAVITY
MATRIX ELEMENTS
LOOP QUANTUM
ALGEBRAIC

All Related Versions

Version 1, 1997-03-31, ArXiv
Published version: Classical and Quantum Gravity, 14 (10), 2793.

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