Field Theory in Noncommutative Minkowski Superspace

Details Field Theory in Noncommutative Minkowski Superspace Field Theory in Noncommutative Minkowski Superspace

2004-10-06

arxiv.org/abs/hep-th/0410056v3

Phys.Rev. D71 (2005) 025019

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, added references, two-column format, published in PRD

Scientific paper

10.1103/PhysRevD.71.025019

There is much discussion of scenarios where the space-time coordinates x^\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 \bar{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 \bar{theta} coordinates non-anticommuting in Minkowski superspace. We present a consistent algebra for the supercoordinates, find a star-product, and give the Wess-Zumino Lagrangian L_{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_{WZ} it preserves Lorentz invariance.

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