A notion of distance between von Neumann algebras appers to be a useful tool in order to study the dependence of the algebras of local observables of QFT from the parameters of the model. We report here on work in which such a notion is defined by dualizing Rieffel‚s quantum Gromov–Hausdorff distance between compact quantum metric spaces. A simple application to the mass dependence of the algebras generated by a free quantum field is also presented.
Guido, D., Marotta, N., Morsella, G., Suriano, L. (2017). A quantum distance between von Neumann algebras and applications to quantum field theory. In Proceedings of the MG14 Meeting on General Relativity (pp. 3870-3875). World Scientific [10.1142/9789813226609_0513].
A quantum distance between von Neumann algebras and applications to quantum field theory
Guido, Daniele;Morsella, Gerardo
;Suriano, Luca
2017-12-01
Abstract
A notion of distance between von Neumann algebras appers to be a useful tool in order to study the dependence of the algebras of local observables of QFT from the parameters of the model. We report here on work in which such a notion is defined by dualizing Rieffel‚s quantum Gromov–Hausdorff distance between compact quantum metric spaces. A simple application to the mass dependence of the algebras generated by a free quantum field is also presented.| File | Dimensione | Formato | |
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