A gravitational effective action on a finite triangulation

Albert Ko; Martin Roček

doi:10.1088/1126-6708/2006/03/021

A gravitational effective action on a finite triangulation

Albert Ko
, Martin Roček

Institute for Theoretical Physics

Stony Brook University

Ward Melville High School

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English
Article number	021
Journal	Journal of High Energy Physics
Issue number	3
DOIs	https://doi.org/10.1088/1126-6708/2006/03/021
State	Published - Mar 1 2006

Keywords

2D Gravity
Lattice Models of Gravity

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10.1088/1126-6708/2006/03/021

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abstract = "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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AB - 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.

KW - 2D Gravity

KW - Lattice Models of Gravity

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DO - 10.1088/1126-6708/2006/03/021

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JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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A gravitational effective action on a finite triangulation

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Keywords

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