Gravity as BF theory plus potential

Details Gravity as BF theory plus potential Gravity as BF theory plus potential

2009-07-23

arxiv.org/abs/0907.4064v1

Int.J.Mod.Phys.A24:2776-2782,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, published in Proceedings of the Second Workshop on Quantum Gravity and Noncommutative Geometry (Lisbon, Portugal)

Scientific paper

Spin foam models of quantum gravity are based on Plebanski's formulation of general relativity as a constrained BF theory. We give an alternative formulation of gravity as BF theory plus a certain potential term for the B-field. When the potential is taken to be infinitely steep one recovers general relativity. For a generic potential the theory still describes gravity in that it propagates just two graviton polarizations. The arising class of theories is of the type amenable to spin foam quantization methods, and, we argue, may allow one to come to terms with renormalization in the spin foam context.

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