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Phys. Rev. D 76, 125005 (2007) [14 pages]

Fock space, quantum fields, and κ-Poincaré symmetries

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Michele Arzano*
Perimeter Institute for Theoretical Physics, 31 Caroline St. N, N2L 2Y5, Waterloo ON, Canada

Antonino Marcianò
Dipartimento di Fisica and INFN Università degi Studi di Roma “La Sapienza”, P.le A. Moro 2, 00185 Roma, Italy

Received 26 July 2007; published 5 December 2007

We study the quantization of a linear scalar field, whose symmetries are described by the κ-Poincaré Hopf algebra, via deformed Fock space construction. The one-particle sector of the theory exhibits a natural (Planckian) cutoff for the modes of the field. At the “multiparticle” level the nontrivial coalgebra structure of κ-Poincaré leads to a deformed bosonization in the construction of Fock space states. These physical states carry energy-momentum charges which are divergenceless and obey a deformed dispersion relation.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.76.125005
DOI:
10.1103/PhysRevD.76.125005
PACS:
11.10.Nx, 02.20.Uw, 11.30.Cp

*marzano@perimeterinstitute.ca

antonino.marciano@roma1.infn.it