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Modular Intersections of von Neumann Algebras in Quantum Field Theory

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Abstract:

We show that modular intersections of von Neumann algebras occur naturally in quantum field theory. An example are local observable algebras associated with wedge regions, which have a lightray in common, see also [Bo 2, Wi 3]. Conversely, starting from a set of four algebras lying in a specified modular position relative to each other we construct a net of local observables of a 2+1 dimensional quantum field theory.

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  1. Institut für Theoretische Physik, FU Berlin, D-14195 Berlin, Germany.¶E-mail: wiesbroc@omega.physik.fu-berlin.de, , , , , , DE

    Hans-Werner Wiesbrock

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  1. Hans-Werner Wiesbrock
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Received: 26 February 1996/ Accepted: 30 August 1997

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Wiesbrock, HW. Modular Intersections of von Neumann Algebras in Quantum Field Theory . Comm Math Phys 193, 269–285 (1998). https://doi.org/10.1007/s002200050329

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  • DOI: https://doi.org/10.1007/s002200050329

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