Geodesic
On a~model of quantum field theory
Informatics and Automation, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 37-40

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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. 
@article{TRSPY_2014_285_a3,
     author = {I. Ya. Aref'eva and I. V. Volovich},
     title = {On a~model of quantum field theory},
     journal = {Informatics and Automation},
     pages = {37--40},
     publisher = {mathdoc},
     volume = {285},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a3/}
}
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I. Ya. Aref'eva; I. V. Volovich. On a~model of quantum field theory. Informatics and Automation, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 37-40. http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a3/