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S matrix on the Moyal plane: Locality versus Lorentz invariance

Balachandran, AP and Pinzul, A and Qureshi, BA and Vaidya, S (2008) S matrix on the Moyal plane: Locality versus Lorentz invariance. In: Physical Review D, 77 (2). 025020-1-025020-8.

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Twisted quantum field theories on the Groenewold-Moyal plane are known to be nonlocal. Despite this nonlocality, it is possible to define a generalized notion of causality. We show that interacting quantum field theories that involve only couplings between matter fields, or between matter fields and minimally coupled U(1) gauge fields are causal in this sense. On the other hand, interactions between matter fields and non-Abelian gauge fields violate this generalized causality. We derive the modified Feynman rules emergent from these features. They imply that interactions of matter with non-Abelian gauge fields are not Lorentz- and CPT-invariant.

Item Type: Journal Article
Publication: Physical Review D
Publisher: The American Physical Society
Additional Information: Copyright of this article belongs to the American Physical Society.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 06 Mar 2008
Last Modified: 19 Sep 2010 04:41
URI: http://eprints.iisc.ac.in/id/eprint/12532

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