Localization of observables in the Rindler wedge

One of the striking features of QED is that charged particles create a coherent cloud of photons. The resultant coherent state vectors of photons generate a nontrivial representation of the localized algebra of observables that do not support a representation of the Lorentz group: Lorentz symmetry i...

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Bibliographic Details
Published in:Physical review. D 2017-11, Vol.96 (10), Article 105001
Main Authors: Asorey, M., Balachandran, A. P., Marmo, G., de Queiroz, A. R.
Format: Article
Language:English
Subjects:
Black holes
Charged particles
Localization
Mathematical analysis
Photons
Representations
State vectors
Vectors (mathematics)
Wedges
Citations: Items that this one cites
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Summary:One of the striking features of QED is that charged particles create a coherent cloud of photons. The resultant coherent state vectors of photons generate a nontrivial representation of the localized algebra of observables that do not support a representation of the Lorentz group: Lorentz symmetry is spontaneously broken. We show in particular that Lorentz boost generators diverge in this representation, a result shown also by Balachandran et al. [Eur. Phys. J. C 75, 89 (2015)] (see also the work by Balachandran et al. [Mod. Phys. Lett. A 28, 1350028 (2013)]. Localization of observables, for example in the Rindler wedge, uses Poincaré invariance in an essential way [Int. J. Geom. Methods Mod. Phys. 14, 1740008 (2017).]. Hence, in the presence of charged fields, the photon observables cannot be localized in the Rindler wedge. These observations may have a bearing on the black hole information loss paradox, as the physics in the exterior of the black hole has points of resemblance to that in the Rindler wedge.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.96.105001