QF3 - Operator Algebras and Quantum Field Theory |
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Speaker |
Morsella, Gerardo |
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Coauthors |
Guido, Daniele, Marotta, Nunzia, Suriano, Luca |
| Talk Title |
A Quantum Distance between von Neumann Algebras and Applications to Quantum Field Theory |
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Abstract |
I will present a notion of distance between von Neumann algebras endowed with suitable Lipschitz (semi-)norms, i.e., norms inducing the sigma-weak topology on bounded subsets. This can be seen as a dual version of the distance between C*-algebras introduced by M. Rieffel as a quantum analogue of the Gromov-Hausdorff distance between metric spaces. As an example, I will discuss the convergence of the local von Neumann algebras of the free scalar quantum field of mass m, as m tends to 0. |
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