Fock space, quantum fields and kappa-Poincaré symmetries

Abstract

We study the quantization of a linear scalar field, whose symmetries are described by the kappa-Poincare' Hopf-algebra, via deformed Fock space construction. The one-particle sector of the theory exhibits a natural (planckian) cut-off for the field modes. At the multi-particle level the non-trivial co-algebra structure of kappa-Poincare' 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.

RevTeX, 17 pages, 5 figures

References in corpus (3)

• From noncommutative kappa-Minkowski to Minkowski space-time
• Symplectic geometry and Noether charges for Hopf algebra space-time symmetries
• $\kappa -$Minkowski spacetime and a uniformly accelerating observer

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• Covariant particle exchange for kappa-deformed theories in 1+1 dimensions
• Differential structure on the $\kappa$-Minkowski spacetime from twist
• Differential Structure on kappa-Minkowski Spacetime Realized as Module of Twisted Weyl Algebra
• Kappa-deformed oscillators, the choice of star product and free kappa-deformed quantum fields
• Low-energy constraints on kappa-Minkowski extension of the Standard Model
• Canonical and Lie-algebraic twist deformations of $\kappa$-Poincare and contractions to $\kappa$-Galilei algebras
• Quantization of kappa-deformed free fields and kappa-deformed oscillators