Nonlocal Wess-Zumino model on nilpotent noncommutative superspace

Journal Article · Thu Sep 15 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.065015· OSTI ID:20713574

Kobayashi, Yoshishige; Sasaki, Shin ^[1]

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1. 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, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BASIC INTERACTIONS
BOSONS
COMMUTATION RELATIONS
CORRECTIONS
COUPLING CONSTANTS
DEFORMATION
FERMIONS
FEYNMAN DIAGRAM
QUANTUM FIELD THEORY
SPACE-TIME
SUPERSYMMETRY
SYMMETRY BREAKING