Nonlocal Wess-Zumino model on nilpotent noncommutative superspace
- Department of Physics, Faculty of Science, Tokyo Metropolitan University, 1-1 Minami-osawa, Hachioji-shi, Tokyo 192-0397 (Japan)
We investigate the theory of the bosonic-fermionic noncommutativity, [x{sup {mu}},{theta}{sup {alpha}}]=i{lambda}{sup {mu}}{sup {alpha}}, and the Wess-Zumino model deformed by the noncommutativity. Such noncommutativity links well-known space-time noncommutativity to superspace non-anticommutativity. The deformation has the nilpotency. We can explicitly evaluate noncommutative effect in terms of new interactions between component fields. The interaction terms that have Grassmann couplings are induced. The noncommutativity does completely break full N=1 supersymmetry to N=0 theory in Minkowski signature. Similar to the space-time noncommutativity, this theory has higher derivative terms and becomes nonlocal theory. However this nonlocality is milder than the space-time noncommutative field theory. Because of the nilpotent feature of the coupling constants, we find that there are only finite number of Feynman diagrams that give noncommutative corrections at each loop order.
- OSTI ID:
- 20713574
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 72, Issue 6; Other Information: DOI: 10.1103/PhysRevD.72.065015; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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