Spin Foam Model for 3D Gravity in the Continuum

Details Spin Foam Model for 3D Gravity in the Continuum Spin Foam Model for 3D Gravity in the Continuum

Aug 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006tmpg.conf..495z&link_type=abstract

Topics in Mathematical Physics, General Relativity and Cosmology in Honor of Jerzy Plebański. Proceedings of 2002 International

Mathematics

Mathematical Physics

Scientific paper

In this talk I present a framework to take spin foam models to the continuum. The framework is presented taking 3d quantum gravity as an example and completing the program there. Theories in the continuum are defined using a generalization of the small lattice spacing limit of Lattice Gauge Theory (LGT) and the projective techniques used in Canonical Loop Quantization (CLQ). The existence of the theory in the continuum depends on the existence of this limit expressing the independence of the normalized partition function on the lattice in the limit of "small lattice spacing."

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