Loop gravity in terms of spinors

Details Loop gravity in terms of spinors Loop gravity in terms of spinors

2011-09-16

arxiv.org/abs/1109.3572v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, based on a talk given at Loops '11, Madrid, to appear in Journal of Physics: Conference Series (JPCS)

Scientific paper

We show that loop gravity can equally well be formulated in in terms of spinorial variables (instead of the group variables which are commonly used), which have recently been shown to provide a direct link between spin network states and discrete geometries. This results in a new, unitarily equivalent formulation of the theory on a generalized Bargmann space. Since integrals over the group are exchanged for straightforward integrals over the complex plane we expect this formalism to be useful to efficiently organize practical calculations.

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