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Wick rotation for quantum field theories on degenerate Moyal space(-time)

Grosse, Harald, Lechner, Gandalf, Ludwig, Thomas and Verch, Rainer 2013. Wick rotation for quantum field theories on degenerate Moyal space(-time). Journal of Mathematical Physics 54 (2) , 022307. 10.1063/1.4790886

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In this paper the connection between quantum field theories on flat noncommutative space(-times) in Euclidean and Lorentzian signature is studied for the case that time is still commutative. By making use of the algebraic framework of quantum field theory and an analytic continuation of the symmetry groups which are compatible with the structure of Moyal space, a general correspondence between field theories on Euclidean space satisfying a time zero condition and quantum field theories on Moyal Minkowski space is presented (“Wick rotation”). It is then shown that field theories transferred to Moyal space(-time) by Rieffel deformation and warped convolution fit into this framework, and that the processes of Wick rotation and deformation commute.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Publisher: American Institute of Physics
ISSN: 0022-2488
Last Modified: 04 Jun 2017 08:09

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