The massive modular Hamiltonian

  • Roberto Longo (Roma “Tor Vergata”)
Live Stream


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.

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09.07.20 09.03.23

Webinar Analysis, Quantum Fields & Probability

MPI for Mathematics in the Sciences Live Stream

Jochen Zahn

Leipzig University Contact via Mail

Roland Bauerschmidt

University of Cambridge

Stefan Hollands

Leipzig University & MPI MiS Leipzig

Christoph Kopper

Ecole Polytechnique Paris

Antti Kupiainen

University of Helsinki

Felix Otto

MPI for Mathematics in the Sciences Contact via Mail

Manfred Salmhofer

Heidelberg University