ar X iv : h ep - t h / 01 04 08 6 v 3 2 8 Ju l 2 00 3 Non Standard Extended Noncommutativity of Coordinates

ar X iv : h ep - t h / 04 07 24 7 v 1 2 8 Ju l 2 00 4 N = 2 SUPERSYMMETRIC PLANAR PARTICLES AND MAGNETIC INTERACTION FROM NONCOMMUTATIVITY

We describe a N=2 supersymmetric extension of the nonrelativistic (2+1)-dimensional model describing particles on the noncommutative plane with scalar (electric) and vector (magnetic) interactions. First, we employ the N = 2 superfield technique and show that in the presence of a scalar N = 2 superpotential the magnetic interaction is implied by the presence of noncommutativity of position vari...

ar X iv : h ep - e x / 04 08 01 4 v 1 6 A ug 2 00 4 Plans for Kaon Physics at BNL

ar X iv : h ep - t h / 06 04 06 8 v 3 28 S ep 2 00 6 NONCOMMUTATIVE GEOMETRY AND GEOMETRIC PHASES

We have studied particle motion in generalized forms of noncommutative phase space, that simulate monopole and other forms of Berry curvature, that can be identified as effective internal magnetic fields, in coordinate and momentum space. The Ahranov-Bohm effect has been considered in this form of phase space, with operatorial structures of noncommutativity. Physical significance of our results...

ar X iv : h ep - t h / 05 01 01 7 v 1 4 J an 2 00 5 Lorentz invariance of scalar field action on κ - Minkowski space - time

We construct field theory on noncommutative κ-Minkowski spacetime. Having the Lorentz action on the noncommutative space-time coordinates we show that the field lagrangian is invariant. We show that noncommutativity requires replacing the Leibnitz rule with the coproduct one.

ar X iv : h ep - t h / 06 06 00 8 v 1 1 Ju n 20 06 Feynman problem in the noncommutative case

In the context of the Feynman’s derivation of electrodynamics, we show that noncommutativity allows other particle dynamics than the standard formalism of electrodynamics.