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arXiv 2202.08280hep-thhep-ph
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引力Regge界

Gravitational Regge bounds

Kelian Häring, Alexander Zhiboedov

AI总结:

该研究基于半经典物理等假设,推导了固定转移动量及弥散情形下引力散射振幅的Regge增长界,得出其满足带两次减除的色散关系,黑洞形成可将部分弥散振幅的减除次数降为一次,并进一步得到振幅局域增长不超$s^2$的结论。

摘要:

我们回顾了推导引力散射振幅Regge增长界的基本假设,并详述了相关论证过程。除了幺正性、解析性、次指数性和交叉对称性之外,与有能隙情形相比,这里所需的最少额外假设是:大碰撞参数下的散射由已知的半经典物理规律主导。我们分别对固定转移动量下的振幅、以及对转移动量做弥散处理后的振幅的Regge增长给出了界。我们的基本结论是,引力散射振幅满足带两次减除的色散关系。对于一类弥散后的振幅,黑洞形成会将减除次数降至一次。最后,利用带两次减除的色散关系,我们推导了相对论散射振幅局域增长的界。大致而言,该局域界表明振幅的增长速度不能超过$s^2$。

英文摘要:

We review the basic assumptions and spell out the detailed arguments that lead to the bound on the Regge growth of gravitational scattering amplitudes. The minimal extra ingredient compared to the gapped case - in addition to unitarity, analyticity, subexponentiality, and crossing - is the assumption that scattering at large impact parameters is controlled by known semi-classical physics. We bound the Regge growth of amplitudes both with the fixed transferred momentum and smeared over it. Our basic conclusion is that gravitational scattering amplitudes admit dispersion relations with two subtractions. For a sub-class of smeared amplitudes, black hole formation reduces the number of subtractions to one. Finally, using dispersion relations with two subtractions we derive bounds on the local growth of relativistic scattering amplitudes. Schematically, the local bound states that the amplitude cannot grow faster than $s^2$.

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