Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1997-03-31
Class.Quant.Grav. 14 (1997) 2793-2823
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
32 pages, 22 eps figures. LaTeX (Using epsfig.sty,ioplppt.sty and bezier.sty). Submited to Classical and Quantum Gravity
Scientific paper
10.1088/0264-9381/14/10/008
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.
Borissov Roumen
Pietri Roberto de
Rovelli Carlo
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