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arXiv · hep-th/9603016

Feynman Rules for Simplicial Gravity

H. W. Hamber·S. Liu
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Abstract

We develop the general formalism for performing perturbative diagrammatic expansions in the lattice theory of quantum gravity. The results help establish a precise correspondence between continuum and lattice quantities, and should be a useful guide for non-perturbative studies of gravity. The Feynman rules for Regge's simplicial lattice formulation of gravity are then discussed in detail in two dimensions. As an application, the two-dimensional conformal anomaly due to a $D$-component scalar field is explicitly computed in perturbation theory.

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H. W. Hamber, S. Liu. 1996-04-02. Feynman Rules for Simplicial Gravity. https://doi.org/10.1016/0550-3213(96)00216-7

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