Fock space, quantum fields, and κ-Poincaré symmetries

Michele Arzano and Antonino Marcianò
Phys. Rev. D 76, 125005 – Published 5 December 2007

Abstract

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.

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  • Received 26 July 2007

DOI:https://doi.org/10.1103/PhysRevD.76.125005

©2007 American Physical Society

Authors & Affiliations

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

  • *marzano@perimeterinstitute.ca
  • antonino.marciano@roma1.infn.it

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Issue

Vol. 76, Iss. 12 — 15 December 2007

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