Feynman Rules for Simplicial Gravity

Details Feynman Rules for Simplicial Gravity Feynman Rules for Simplicial Gravity

1996-03-05

arxiv.org/abs/hep-th/9603016v2

Nucl.Phys. B472 (1996) 447-480

Physics

High Energy Physics

High Energy Physics - Theory

Corrections and references added

Scientific paper

10.1016/0550-3213(96)00216-7

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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