论运动物体的热力学
On the thermodynamics of moving bodies
摘要：
我们模拟的情况下，光子探测器在闵可夫斯基热浴中以恒定的速度移动，通过考虑一个Unruh-DeWitt探测器，具有可变的能隙$\hbar ω$，在膜上移动，在非零（Unruh）温度$T$由于在正交方向上的加速度。我们计算2-膜的角响应。在低速时，我们发现协议与标准的多普勒频移公式在限制$\hbarω\gg T$，其中光子气体是经典的，否则有一个差异，我们归因于角度依赖性的诱导发射率。在相对论速度下，我们的结果与标准公式不一致，即使当$\hbarω\gg T$，并在临界速度以上，有没有从一个'向后'锥内的检测器的响应。我们讨论了观测的宇宙微波背景辐射的潜在影响。
英文摘要：
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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