Radiation from a moving mirror in two dimensional space-time - Conformal anomaly

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Conformal Mapping, Field Theory (Physics), Mirrors, Quantum Theory, Tensor Analysis, Acceleration (Physics), Astrophysics, Black Holes (Astronomy), Coordinate Transformations, Cosmology, Covariance, Optical Reflection, Potential Fields, Radiant Flux Density, Vector Spaces

Scientific paper

The energy-momentum tensor is calculated in the two-dimensional quantum theory of a massless scalar field influenced by the motion of a perfectly reflecting boundary (mirror). In spite of the conformally static nature of the problem, the vacuum expectation value of the tensor for an arbitrary mirror trajectory exhibits a non-vanishing radiation flux which may be readily computed. The expectation value of the instantaneous energy flux is negative when the proper acceleration of the mirror is increasing, but the total energy radiated during a bounded mirror motion is positive. A uniformly accelerating mirror does not radiate; however, our quantization does not coincide with the treatment of that system as a 'static universe'. The calculation of the expectation value requires a regularization procedure of covariant separation of points (in products of field operators) along time-like geodesics.

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