Quantization of Scalar Fields in Curved Background and Quantum Algebras
نویسنده
چکیده
We show that a suitable deformation of the algebra hk(1) 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. This discloses the physical meaning of the deformation parameter q which turns out to be related to the gravitational field. The thermal properties are re-obtained in this formalism, and the application to Schwarzschild and Rindler space-times are carried out. Typeset using REVTEX E-mail: [email protected], [email protected] E-mail: [email protected] E-mail: [email protected]
منابع مشابه
Quantization of scalar fields in curved background , deformed Hopf algebra and entanglement
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 agains...
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