Twisted Galilean symmetry and the Pauli principle at low energies

Details Twisted Galilean symmetry and the Pauli principle at low energies Twisted Galilean symmetry and the Pauli principle at low energies

2006-01-18

arxiv.org/abs/hep-th/0601121v2

J.Phys.A39:9557-9572,2006

Physics

High Energy Physics

High Energy Physics - Theory

16 pages Latex, 2 figures Some modifications made in the abstract, introduction, typographical errors corrected

Scientific paper

10.1088/0305-4470/39/30/011

We show the twisted Galilean invariance of the noncommutative parameter, even in presence of space-time noncommutativity. We then obtain the deformed algebra of the Schr\"odinger field in configuration and momentum space by studying the action of the twisted Galilean group on the non-relativistic limit of the Klein-Gordon field. Using this deformed algebra we compute the two particle correlation function to study the possible extent to which the previously proposed violation of the Pauli principle may impact at low energies. It is concluded that any possible effect is probably well beyond detection at current energies.

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