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Thermally correlated states in Loop Quantum Gravity

Goffredo Chirco, Carlo Rovelli, Paola Ruggiero

(Submitted on 1 Aug 2014)

We study a class of loop-quantum-gravity states characterized by (ultra-local) thermal correlations that reproduce some features of the ultraviolet structure of the perturbative quantum field theory vacuum. In particular, they satisfy an analog of the Bisognano-Wichmann theorem. These states are peaked on the intrinsic geometry and admit a semiclassical interpretation. We study how the correlations extend on the spin-network beyond the ultra local limit.

11 pages, 4 figures

The Bisognano-Wichmann theorem (originally proved for quantum fields on Minkowski space) is an intriguing and powerful result---it underlies Unruh's discovery of a radiation bath experienced by an accelerated observer, and when extended to curved spacetimes can be shown to underlie Hawking radiation. I think there are connections with KMS condition, Tomita flow or thermal time. Here the authors are setting out to extend the BW idea to Loop spacetime geometry.

I went looking for sources on BW and found this by Christoph Solveen

http://math.mit.edu/~eep/CFTworkshop/Tuesday4-30pmChristophEdited.pdf

and this by Jens Mund

http://arxiv.org/abs/hep-th/0101227

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# Taking Bisognano-Wichmann into Loop

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