Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra

Details Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra Covariant particle statistics and intertwiners of the kappa-deformed Poincare algebra

2007-11-14

arxiv.org/abs/0711.2206v2

Nucl.Phys.B797:537-549,2008

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex; v2, references added

Scientific paper

10.1016/j.nuclphysb.2007.12.021

To speak about identical particles - bosons or fermions - in quantum field theories with kappa-deformed Poincare symmetry, one must have a kappa-covariant notion of particle exchange. This means constructing intertwiners of the relevant representations of kappa-Poincare. We show, in the simple case of spinless particles, that intertwiners exist, and, supported by a perturbative calculation to third order in 1/kappa, make a conjecture about the existence and uniqueness of a certain preferred intertwiner defining particle exchange in kappa-deformed theories.

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