Regularization and finiteness of the Lorentzian LQG vertices

Details Regularization and finiteness of the Lorentzian LQG vertices Regularization and finiteness of the Lorentzian LQG vertices

2008-05-30

arxiv.org/abs/0805.4696v2

Phys.Rev.D79:084034,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages; Added an appendix presenting the gauge-fixing interpretation, added three references, and made some minor changes

Scientific paper

10.1103/PhysRevD.79.084034

We give an explicit form for the Lorentzian vertices recently introduced for
possibly defining the dynamics of loop quantum gravity. As a result of so
doing, a natural regularization of the vertices is suggested. The regularized
vertices are then proven to be finite. An interpretation of the regularization
in terms of a gauge-fixing is also given.

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