On a model of quantum field theory
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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.
KeywordsQuantum Field Theory Wave Equation STEKLOV Institute Minkowski Space Singular Limit
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- 2.S. Takagi, Vacuum Noise and Stress Induced by Uniform Acceleration: Hawking-Unruh Effect in Rindler Manifold of Arbitrary Dimension (Phys. Soc. Japan, Tokyo, 1986), Prog. Theor. Phys. Suppl., No. 88.Google Scholar