A spin-foam vertex amplitude with the correct semiclassical limit

Details A spin-foam vertex amplitude with the correct semiclassical limit A spin-foam vertex amplitude with the correct semiclassical limit

2012-01-10

arxiv.org/abs/1201.2187v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages

Scientific paper

Spin-foam models are hoped to provide a dynamics for loop quantum gravity. All 4-d spin-foam models of gravity start from the Plebanski formulation, in which gravity is recovered from a topological field theory, BF theory, by the imposition of constraints, which, however, select not only the gravitational sector, but also unphysical sectors. We show that this is the root cause for terms beyond the required Feynman-prescribed exponential of i times the action in the semiclassical limit of the EPRL spin-foam vertex. By quantizing a condition isolating the gravitational sector, we modify the EPRL vertex, yielding what we call the proper EPRL vertex amplitude. This provides at last a vertex amplitude for loop quantum gravity with the correct semiclassical limit.

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