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

Understand

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.