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EnglishThe first part of this paper extends the Doplicher-Haag-Roberts theory of superselection sectors to quantum field theory on arbitrary globally hyperbolic spacetimes. The statistics of a superselection sector may be defined as in flat spacetime and each charge has a conjugate charge when the spacetime possesses non-compact Cauchy surfaces. In this case, the field net and the gauge group can be constructed as in Minkowski spacetime. The second part of this paper derives spin-statistics theorems on spacetimes with appropriate symmetries. Two situations are considered: First, if the spacetime has a bifurcate Killing horizon, as is the case in the presence of black holes, then restricting the observables to the Killing horizon together with "modular covariance" for the Killing flow yields a conformally covariant quantum field theory on the circle and a conformal spin-statistics theorem for charged sectors localizable on the Killing horizon. Secondly, if the spacetime has a rotation and PT symmetry like the Schwarzschild-Kruskal black holes, "geometric modular action" of the rotational symmetry leads to a spin-statistics theorem for charged covariant sectors where the spin is defined via the SU(2)-covering of the spatial rotation group SO(3).
Guido, D., Longo, R., Roberts, J.E., & Verch, R. (2001). Charged sectors, spin and statistics in quantum field theory on curved spacetimes. REVIEWS IN MATHEMATICAL PHYSICS, 13(2), 125-198.
| Tipologia: | Articolo su rivista |
| Citazione: | Guido, D., Longo, R., Roberts, J.E., & Verch, R. (2001). Charged sectors, spin and statistics in quantum field theory on curved spacetimes. REVIEWS IN MATHEMATICAL PHYSICS, 13(2), 125-198. |
| IF: | Con Impact Factor ISI |
| Lingua: | English |
| Settore Scientifico Disciplinare: | Settore MAT/05 - Analisi Matematica |
| Revisione (peer review): | Sì, ma tipo non specificato |
| Tipo: | Articolo |
| Rilevanza: | Rilevanza internazionale |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1142/S0129055X01000557 |
| Stato di pubblicazione: | Pubblicato |
| Data di pubblicazione: | 2001 |
| Titolo: | Charged sectors, spin and statistics in quantum field theory on curved spacetimes |
| Autori: | |
| Autori: | Guido, D ; Longo, R ; Roberts, JE ; Verch, R |
| Appare nelle tipologie: | 01 - Articolo su rivista |
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http://hdl.handle.net/2108/43635
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