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Quantization of Scalar Fields in Curved Background and Quantum Algebras

Alfredo Iorio·Gaetano Lambiase·Giuseppe Vitiello
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Abstract

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 are carried out.

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Alfredo Iorio, Gaetano Lambiase, Giuseppe Vitiello. 2001-04-19. Quantization of Scalar Fields in Curved Background and Quantum Algebras. https://doi.org/10.1006/aphy.2001.6195

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