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 (5)

• Statistics and UV-IR Mixing with Twisted Poincare Invariance
• From noncommutative kappa-Minkowski to Minkowski space-time
• Symplectic geometry and Noether charges for Hopf algebra space-time symmetries
• Noncommutative Field Theory from twisted Fock space
• $\kappa -$Minkowski spacetime and a uniformly accelerating observer

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• Experimental test of Non-Commutative Quantum Gravity by VIP-2 Lead
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• A group theoretic description of the $\kappa$-Poincaré Hopf algebra
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