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Tr. Mat. Inst. Steklova, 2014, Volume 285, Pages 37–40 (Mi tm3543)  

On a model of quantum field theory

I. Ya. Aref'eva, I. V. Volovich

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: 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.

Funding Agency Grant Number
Russian Foundation for Basic Research 11-01-00894-a
The work of the first author was supported in part by the Russian Foundation for Basic Research, project no. 11-01-00894-a.


DOI: https://doi.org/10.1134/S0371968514020046

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English version:
Proceedings of the Steklov Institute of Mathematics, 2014, 285, 30–33

Bibliographic databases:

UDC: 531.1
Received in February 2014

Citation: 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

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