Fock space, quantum fields and kappa-Poincar\'e symmetries

TL;DR

This paper explores the quantization of a scalar field with kappa-Poincare symmetries, revealing a natural Planck-scale cutoff and deformed dispersion relations through a deformed Fock space approach.

Contribution

It introduces a deformed Fock space construction for scalar fields with kappa-Poincare symmetries, highlighting a natural cutoff and modified multi-particle states.

Findings

Presence of a Planckian cutoff in field modes

Deformed bosonization in multi-particle states

Energy-momentum charges obey deformed dispersion relations

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.