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http://arxiv.org/abs/1408.0121
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
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