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Roberto Longo (Roma “Tor Vergata”): The massive modular Hamiltonian

Ort: MPI für Mathematik in den Naturwissenschaften Leipzig,  , Videobroadcast

Video broadcast: Webinar “Analysis, Quantum Fields, and Probability” A solution of the Klein-Gordon equation can be viewed as a signal carried by a classical wave packet, or as the wave function of a quantum particle, or as a coherent state in Quantum Field Theory. Our recent work concerns the definition, computation and interpretation of the local entropy of this object and its relation to quantum energy inequalities. The Operator Algebraic approach, in particular the Tomita-Takesaki modular theory, provides a natural framework and powerful methods for our analysis. In this talk, I will discuss part of the general ground for our analysis and some key results, in particular the solution of an old problem in QFT: the description of the modular Hamiltonian associated with a space ball B in the free scalar massive QFT; this sets up the formula for the entropy density of a real wave packet. <br /><br /><p><b>Webinar links and passwords and program updates will be distributed via email. If you would like to be added to the mailing list, please sign up for the mailing list at https://lists.uni-leipzig.de/mailman/listinfo/aqfp_announcements</a>.</b></p>

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Beginn: 11. März 2021 17:00

Ende: 11. März 2021 18:30