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arXiv · 1209.1344

Point particles in 2+1 dimensions: toward a semiclassical loop gravity formulation

Jonathan Ziprick
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Abstract

We study point particles in 2+1 dimensional first order gravity using a triangulation to fix the connection and frame-field. The Hamiltonian is reduced to a boundary term which yields the total mass. The triangulation is dynamical with non-trivial transitions occurring when a particle meets an edge. This framework facilitates a description in terms of the loop gravity phase space.

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Jonathan Ziprick. 2012-09-06. Point particles in 2+1 dimensions: toward a semiclassical loop gravity formulation. https://doi.org/10.1139/cjp-2012-0385

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