Invited review: The new spin foam models and quantum gravity

In this article, we give a systematic definition of the recently introduced spin foam models for four-dimensional quantum gravity, reviewing the main results on their semiclassical limit on fixed discretizations. Received: 17 October 2011, Accepted: 18 March 2012; Edited by: J. Pullin; Reviewed by: L. Freidel, Perimeter Institute for Theoretical Physics, Waterloo, Canada; DOI: http://dx.doi.org/10.4279/PIP.040004Cite as: A. Perez, Papers in Physics 4, 040004 (2012)