Group field theory and simplicial quantum gravity

Details Group field theory and simplicial quantum gravity Group field theory and simplicial quantum gravity

2009-02-23

arxiv.org/abs/0902.3903v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, no figures; RevTex4; v2: definition of the model modified, discussion extended and improved

Scientific paper

We present a new Group Field Theory for 4d quantum gravity. It incorporates the constraints that give gravity from BF theory, and has quantum amplitudes with the explicit form of simplicial path integrals for 1st order gravity. The geometric interpretation of the variables and of the contributions to the quantum amplitudes is manifest. This allows a direct link with other simplicial gravity approaches, like quantum Regge calculus, in the form of the amplitudes of the model, and dynamical triangulations, which we show to correspond to a simple restriction of the same.

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