Quantization of scalar fields in curved background , deformed Hopf algebra and entanglement
نویسندگان
چکیده
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.
منابع مشابه
Coalgebras and quantization
Two coalgebra structures are used in quantum field theory. The first one is the coalgebra part of a Hopf algebra leading to quantization. The second one is a co-module co-algebra over the first Hopf algebra and it is used to define connected chronological products and renormalization. Paper written for the Encyclopaedia of Mathematics. Co-algebra is a pervasive structure of quantum field theory...
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