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arXiv 2207.01641hep-th
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受激弦的光子发射

Photon emission from an excited string

Maurizio Firrotta, Vladimir Rosenhaus

摘要:

我们计算一个处于任何精确指定状态的激发弦通过发射快子或光子衰变成另一个处于任何精确指定状态的激发弦的振幅。对于一般的和高度激发的弦状态,振幅是一个复杂的函数的传出运动学角度,敏感的精确状态。我们计算这个振幅的平方,对进入的弦的极化取平均,对离开的弦的极化求和。这些计算看起来很难,但通过从包含快子和大量光子的振幅中提取出包含激发弦的振幅,就有了可能;光子的数量随着激发弦态的复杂性而增加。我们的工作是在最近广泛的统计力学和量子多体系统的混沌研究的精神。在给定的质量下,不同的激发弦态的数量是指数级的,我们的计算给出了每个微观态的单个光子的发射幅度--通过Horowitz-Polchinski对应原理,这些微观态与黑洞微观态相对应。

英文摘要:

We compute the amplitude for an excited string in any precisely specified state to decay into another excited string in any precisely specified state, via emission of a tachyon or photon. For generic and highly excited string states, the amplitude is a complicated function of the outgoing kinematic angle, sensitive to the precise state. We compute the square of this amplitude, averaged over polarizations of the ingoing string and summed over polarizations of the outgoing string. The seeming intractability of these calculations is made possible by extracting amplitudes involving excited strings from amplitudes involving tachyons and a large number of photons; the number of photons grows with the complexity of the excited string state. Our work is in the spirit of the broad range of recent studies of statistical mechanics and chaos for quantum many-body systems. The number of different excited string states at a given mass is exponentially large, and our calculation gives the emission amplitude of a single photon from each of the microstates -- which, through the Horowitz-Polchinski correspondence principle, are in correspondence with black hole microstates.

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