A Field Theoretical Model in Noncommutative Minkowski Superspace

Abstract

In this talk we present a field theoretical model constructed in Minkowski N=1 superspace with a deformed supercoordinate algebra. Our study is motivated in part by recent results from super-string theory, which show that in a particular scenario in Euclidean superspace the spinor coordinates θdo not anticommute. Field theoretical consequences of this deformation were studied in a number of articles. We present a way to extend the discussion to Minkowski space, by assuming non-vanishing anticommutators for both θ, and \barθ. We give a consistent supercoordinate algebra, and a star product that is real and preserves the (anti)chirality of a product of (anti)chiral superfields. We also give the Wess-Zumino Lagrangian that gains Lorentz-invariant corrections due to non(anti)commutativity within our model. The Lagrangian in Minkowski superspace is also always manifestly Hermitian.

9 pages. To be published in the proceedings of DPF 2004 in International Journal of Modern Physics A

References in corpus (16)

• Noncommutative Field Theory and Lorentz Violation
• Hydrogen Atom Spectrum and the Lamb Shift in Noncommutative QED
• Non-commutative superspace from string theory
• Low-energy Limits on the Antisymmetric Tensor Field Background on the Brane and on the Non-commutative Scale
• Non(anti)commutative Superspace
• Review of the Phenomenology of Noncommutative Geometry
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• Comments on Non-Commutative Phenomenology
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• Noncommutative Gauge Theory without Lorentz Violation
• N=1/2 Wess-Zumino model is renormalizable
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• Evaluating matrix elements relevant to some Lorenz violating operators

Cited by in corpus (4)

• Lorentz Conserving Noncommutative Standard Model
• Massive Neutrino in Non-commutative Space-time
• Hydrogen and muonic-Hydrogen Atomic Spectra in Non-commutative Space-Time
• Higgs Couplings in NonCommutative Standard Model