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

Grosse H, Lechner G, Ludwig T, Verch R (2013)

Publication Type: Journal article

Publication year: 2013

Journal

Journal of Mathematical Physics American Institute of Physics (AIP)

Book Volume: 54

Article Number: 022307

Journal Issue: 2

DOI: 10.1063/1.4790886

Abstract

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. © 2013 American Institute of Physics.

Authors with CRIS profile

Gandalf Lechner

Additional Organisation(s)

Lehrstuhl für Mathematik (Operatoralgebren) (Heisenberg-Professur)

Involved external institutions

Max-Planck-Institut für Mathematik (MPIM) DE Germany (DE) Medizinische Universität Wien AT Austria (AT) Universität Leipzig DE Germany (DE) Universität Wien / University of Vienna AT Austria (AT)

How to cite

APA:

Grosse, H., Lechner, G., Ludwig, T., & Verch, R. (2013). Wick rotation for quantum field theories on degenerate Moyal space(-time). Journal of Mathematical Physics, 54(2). https://doi.org/10.1063/1.4790886

MLA:

Grosse, Harald, et al. "Wick rotation for quantum field theories on degenerate Moyal space(-time)." Journal of Mathematical Physics 54.2 (2013).

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