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Apr21-10, 10:15 PM
Sci Advisor
PF Gold
marcus's Avatar
P: 23,218
Last year several of us discussed the Corfu QG school, where Rovelli, John Baez, Vincent Rivasseau,
Abhay Ashtekar and John Barrett taught minicourses---each gave a series of five lectures on new QG results and active research areas. That was in September 2009.
Rovelli's course was about "new look LQG" or words to that effect. The abstract summary he posted was intriguing, but we never got to see the slides. (The Corfu organizers seem to have suffered from technical problems or lack of resources, as most of their school's QG lectures were never made available on line.) So we've been waiting to learn the content. What is the "new LQG" that Rovelli was talking about in Fall 2009?

It now appears that the Corfu course description seems to correspond to some of the material in section 3 on pages 6 and 7 of the "new LQG" paper we just got. There may be other parts that match as well.

See what you think. I will recall Rovelli's September 2009 course description:
Covariant loop quantum gravity and its low-energy limit

I present a new look on Loop Quantum Gravity, aimed at giving a better grasp on its dynamics and its low-energy limit. Following the highly succesfull model of QCD, general relativity is quantized by discretizing it on a finite lattice, quantizing, and then studying the continuous limit of expectation values. The quantization can be completed, and two remarkable theorems follow. The first gives the equivalence with the kinematics of canonical Loop Quantum Gravity. This amounts to an independent re-derivation of all well known Loop Quantum gravity kinematical results. The second the equivalence of the theory with the Feynman expansion of an auxiliary field theory. Observable quantities in the discretized theory can be identifies with general relativity n-point functions in appropriate regimes. The continuous limit turns out to be subtly different than that of QCD, for reasons that can be traced to the general covariance of the theory. I discuss this limit, the scaling properties of the theory, and I pose the problem of a renormalization group analysis of its large distance behavior.