On the mass dependence of the modular operator for a double cone

Henning Bostelmann; Daniela Cadamuro; Christoph Minz

doi:10.1007/s00023-023-01311-3

On the mass dependence of the modular operator for a double cone

Henning Bostelmann, Daniela Cadamuro, Christoph Minz^*

^*Corresponding author for this work

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We present a numerical approximation scheme for the Tomita-Takesaki modular operator of local subalgebras in linear quantum fields, working at one-particle level. This is applied to the local subspaces for double cones in the vacuum sector of a massive scalar free field in (1 + 1)- and (3 + 1)-dimensional Minkowski spacetime, using a discretization of time-0 data in position space. In the case of a wedge region, one component of the modular generator is well-known to be a mass-independent multiplication operator; our results strongly suggest that for the double cone, the corresponding component is still at least close to a multiplication operator, but that it is dependent on mass and angular momentum.

Original language	English
Number of pages	24
Journal	Annales Henri Poincare
Early online date	4 May 2023
DOIs	https://doi.org/10.1007/s00023-023-01311-3
Publication status	E-pub ahead of print - 4 May 2023

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Cite this

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AU - Cadamuro, Daniela

AU - Minz, Christoph

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