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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 2: Quantum Field Theory I

MP 2.2: Vortrag

Montag, 20. März 2023, 17:00–17:20, ZEU/0250

On the mass dependence of the modular operator for a double cone — •Christoph Minz¹, Henning Bostelmann², and Daniela Cadamuro¹ — ¹Institut für Theoretische Physik, Universität Leipzig — ²University of York, Department of Mathematics

We present a numerical approximation scheme for the Tomita-Takesaki modular operator of local subalgebras in linear quantum fields, where the modular data are determined at one-particle level using time-0 formulation in position space. The technique is tested against the known results for the local subspace of a right wedge in 2-dimensional Minkowski spacetime, where one component of the modular operator is known to be a mass-independent multiplication operator. Applying the same technique to the unknown case of a double cone in 2 (and 4) dimensions, we find that the same component of the modular operator depends on the mass (and angular momentum).