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Spin Foam Models and the Classical Action Principle
Laurent Freidel, Kirill Krasnov
We propose a new systematic approach that allows one to derive the spin foam (state sum) model of a theory starting from the corresponding classical action functional. It can be ap…
Discrete Space-Time Volume for 3-Dimensional BF Theory and Quantum Gravity
Laurent Freidel, Kirill Krasnov
The Turaev-Viro state sum invariant is known to give the transition amplitude for the three dimensional BF theory with cosmological term, and its deformation parameter hbar is rela…
Quantum Geometry and Black Holes
Abhay Ashtekar, Kirill Krasnov
Non-perturbative quantum general relativity provides a possible framework to analyze issues related to black hole thermodynamics from a fundamental perspective. A pedagogical accou…
The Area Spectrum in Quantum Gravity
Kirill Krasnov
We show that, apart from the usual area operator of non-perturbative quantum gravity, there exists another, closely related, operator that measures areas of surfaces. Both correspo…