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arXiv 1003.0112gr-qchep-phhep-th
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为什么昂鲁效应依赖于洛伦兹不变性,而霍金辐射不依赖?

Why does the Unruh effect rely on Lorentz invariance, while Hawking radiation does not ?

David Campo, Nathaniel Obadia

摘要:

我们表明,没有洛伦兹不变性,Unruh效应不存在。我们使用修改后的色散关系,并依次描述:非热性质的真空(定义在首选帧)限制的Rindler楔,损失的KMS属性的Wigthman函数,跃迁振幅和跃迁率的均匀加速检测器。这种情况似乎与声学黑洞的霍金辐射形成对比,在某些假设下,它已经被证明对洛伦兹对称性的破坏是鲁棒的。我们解释这种差异。

英文摘要:

We show that without Lorentz invariance, the Unruh effect does not exist. We use modified dispersion relations and describe in turn: the non-thermal nature of the vacuum (defined in the preferred frame) restricted to the Rindler wedge, the loss of the KMS property of the Wigthman function, the transition amplitudes and transition rates of a uniformaly accelerated detector. This situation seems to contrast with the Hawking radiation of acoustic black holes, which under certain assumptions has been shown to be robust to a breaking of Lorentz symmetry. We explain this discrepancy.

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