Tr. Mat. Inst. Steklova, 2014, Volume 285, Pages 37–40
On a model of quantum field theory
I. Ya. Aref'eva, I. V. Volovich
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
A model of quantum field theory in an accelerated frame of reference is considered. It was suggested by Unruh that a uniformly accelerated detector in vacuum would perceive a noise with a thermal Gibbsian distribution. However, in justifying the assertion a singular transformation was implicitly performed, and doubts were expressed by some researches. We discuss a model of quantum field theory in an accelerated frame of reference in the two-dimensional spacetime for the wave equation. By using the Mellin transform, we obtain a representation of solutions of the wave equation. The representation includes a dependence on a parameter. The Unruh field corresponds to a singular limit of the representation.
|Russian Foundation for Basic Research
|The work of the first author was supported in part by the Russian Foundation for Basic Research, project no. 11-01-00894-a.
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Proceedings of the Steklov Institute of Mathematics, 2014, 285, 30–33
Received in February 2014
I. Ya. Aref'eva, I. V. Volovich, “On a model of quantum field theory”, Selected topics of mathematical physics and analysis, Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth, Tr. Mat. Inst. Steklova, 285, MAIK Nauka/Interperiodica, Moscow, 2014, 37–40; Proc. Steklov Inst. Math., 285 (2014), 30–33
Citation in format AMSBIB
\by I.~Ya.~Aref'eva, I.~V.~Volovich
\paper On a~model of quantum field theory
\inbook Selected topics of mathematical physics and analysis
\bookinfo Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth
\serial Tr. Mat. Inst. Steklova
\publ MAIK Nauka/Interperiodica
\jour Proc. Steklov Inst. Math.
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