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Effective field theories on noncommutative space-time

Calmet, Xavier and Wohlgenannt, Michael (2003) Effective field theories on noncommutative space-time. Physical Review D, 68 (2). Art. No. 025016. ISSN 2470-0010. doi:10.1103/PhysRevD.68.025016.

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We consider Yang-Mills theories formulated on a noncommutative space-time described by a space-time dependent antisymmetric field thetaµnu(x). Using Seiberg-Witten map techniques, we derive the leading order operators for the effective field theories that take into account the effects of such a background field. These effective theories are valid for a weakly noncommutative space-time. It is remarkable to note that already simple models for thetaµnu(x) can help to loosen the bounds on space-time noncommutativity coming from low energy physics. Noncommutative geometry formulated in our framework is a potential candidate for new physics beyond the standard model.

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Additional Information:©2003 The American Physical Society (Received 9 May 2003; published 21 July 2003) One of us (X.C.) would like to thank J. Gomis, M. Graesser, H. Ooguri, and M. B. Wise for enlightening discussions. He would also like to thank P. Schupp for a useful discussion. The authors are very grateful to B. Jurco and J. Wess for interesting discussions.
Subject Keywords:Yang-Mills theory; space-time configurations; geometry
Issue or Number:2
Record Number:CaltechAUTHORS:CALprd03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1931
Deposited By: Archive Administrator
Deposited On:23 Feb 2006
Last Modified:08 Nov 2021 19:43

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