2+1 lattice gravity

作者: H Waelbroeck

DOI: 10.1088/0264-9381/7/5/006

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摘要: This is a theory of 2+1 gravity with spacelike lattice and continuous time. It derived from the Chern-Simons formulation gravity, in which frame vectors are canonically conjugate to SO(2, 1) connection. Dirac brackets computed for corresponding variables: link 3-vectors matrices define parallel transport across boundary between neighbouring faces. There set first-class constraints, state that analogues torsion curvature vanish locally. These generate local Lorentz rotations independent translations each site. One finds same complete observables as formulation.

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