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On the thermodynamics of moving bodies TeX Export

(12 Nov 2009)

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We model the situation in which a photon detector moves with constant velocity in a Minkowski heat-bath by considering an Unruh-DeWitt detector, with variable energy gap $\hbar ω$, moving on a brane, at a non-zero (Unruh) temperature $T$ due to acceleration in an orthogonal direction. We compute the angular response for a 2-brane. At low velocity we find agreement with the standard Doppler shift formula in the limit $\hbarω \gg T$ in which the photon gas is classical; otherwise there is a discrepancy, which we attribute to angular-dependence of the induced emission rate. At relativistic velocities our result disagrees with the standard formula even when $\hbarω \gg T$, and above a critical velocity there is no response from the detector within a `backward' cone. We discuss potential implications for observations of the cosmic microwave background radiation.


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