Fun from none: deformed symmetries and Fock space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, no figures. Invited talk at XXV Max Born Symposium, The Planck scale, Wroclaw (Poland), June 29 - July 3, 2009. To ap

Scientific paper

We give a pedagogical introduction to the basics of deformations of relativistic symmetries and the Hilbert spaces of free quantum fields built as their representations. We focus in particular on the example of a $\kappa$-deformed scalar quantum field for which the generators of spatial translations that label the field modes act according to a deformed Leibnitz rule. We explore the richer structure of the $\kappa$-Fock space and point out possible physical consequences of the deformation.

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