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Quantization of Scalar Fields in Curved Background and Quantum Algebras

✍ Scribed by A. Iorio; G. Lambiase; G. Vitiello

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 137 KB
Volume: 294
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.2001.6195

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✦ Synopsis

We show that a suitable deformation of the algebra h k (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 is carried out.

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