Field theory in noncommutative Minkowski superspace
- Particle Theory Group, Department of Physics, College of William and Mary, Williamsburg, Virginia 23187-8795 (United States)
There is much discussion of scenarios where the space-time coordinates x{sup {mu}} are noncommutative. The discussion has been extended to include nontrivial anticommutation relations among spinor coordinates in superspace. A number of authors have studied field theoretical consequences of the deformation of N=1 superspace arising from nonanticommutativity of coordinates {theta}, while leaving {theta}'s anticommuting. This is possible in Euclidean superspace only. In this note we present a way to extend the discussion by making both {theta} and {theta} coordinates nonanticommuting in Minkowski superspace. We present a consistent algebra for the supercoordinates, find a star-product, and give the Wess-Zumino Lagrangian L{sub WZ} within our model. It has two extra terms due to non(anti)commutativity. The Lagrangian in Minkowski superspace is always manifestly Hermitian and for L{sub WZ} it preserves Lorentz invariance.
- OSTI ID:
- 20705876
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 71, Issue 2; Other Information: DOI: 10.1103/PhysRevD.71.025019; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Nonlocal Wess-Zumino model on nilpotent noncommutative superspace
D=2, N=2 supersymmetric {sigma} models on non(anti)commutative superspace