Quantization of scalar fields in curved background, deformed Hopf algebra and entanglement

Abstract

A suitable deformation of the Hopf algebra of the creation and annihilation operators for a complex scalar field, initially quantized in Minkowski space--time, induces the canonical quantization of the same field in a generic gravitational background. The deformation parameter q turns out to be related to the gravitational field. The entanglement of the quantum vacuum appears to be robust against interaction with the environment.

4 pages, to appear in Proceedings of the XXIV International Colloquium on Group Theoretical Methods in Physics, Paris, 14-21 July 2002