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arXiv · 1505.00225

Graphical method in loop quantum gravity: II. The Hamiltonian constraint and inverse volume operators

Jinsong Yang·Yongge Ma
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Abstract

This is the second paper in the series to introduce a graphical method to loop quantum gravity. We employ the graphical method as a powerful tool to calculate the actions of the Euclidean Hamiltonian constraint operator and the so-called inverse volume operator on spin network states with trivalent vertices. Both of the operators involve the co-triad operator which contains holonomies by construction. The non-ambiguous, concise and visual characters of our graphical method ensure the rigour for our calculations. Our results indicate some corrections to the existing results in literatures.

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Jinsong Yang, Yongge Ma. 2015-05-01. Graphical method in loop quantum gravity: II. The Hamiltonian constraint and inverse volume operators. https://arxiv.org/abs/1505.00225

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