A Gravitational Effective Action on a Finite Triangulation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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5 pages; clarifications, acknowledgements, references added

Scientific paper

10.1088/1126-6708/2006/03/021

We construct a function of the edge-lengths of a triangulated surface whose
variation under a rescaling of all the edges that meet at a vertex is the
defect angle at that vertex. We interpret this function as a gravitational
effective action on the triangulation, and the variation as a trace anomaly.

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