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arXiv 2307.04746hep-thgr-qc
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从引力 S 矩阵指数表示导出经典可观测量

Classical Observables from the Exponential Representation of the Gravitational S-Matrix

Poul H. Damgaard, Elias Roos Hansen, Ludovic Planté, Pierre Vanhove

AI总结:

本文结合 KMOC 形式体系与 S 矩阵指数表示,证明保守扇区中两体散射角可由指数矩阵元给出,并系统展开动量冲激,首次基于散射振幅完整算至第四后 Minkowskian 阶。

摘要:

通过将 KMOC 形式体系与散射矩阵的指数表示相结合,我们表明两体散射角由该指数表示对应的矩阵元给出。当限于保守扇区时,这一关系在引力的后 Minkowskian 展开的所有阶均成立。一旦考虑引力辐射,从第四后 Minkowskian 阶开始会出现修正该关系的新项。文中给出了动量冲激到任意阶的系统展开,从而阐明了部分复用后 Minkowskian 展开中较低阶项的迭代结构。我们给出了该计算到第四后 Minkowskian 阶的显式结果,这是首个基于散射振幅在该阶完成的完整计算。

英文摘要:

By combining the KMOC-formalism with the exponential representation of the scattering matrix we show that the two-body scattering angle is given by the corresponding matrix element of the exponential representation. This holds to all orders in the Post-Minkowskian expansion of gravity when restricted to the conservative sector. Once gravitational radiation is taken into account new terms correcting this relationship appear starting at fourth Post-Minkowskian order. A systematic expansion of the momentum kick is provided to any order, thus illustrating the iterative structure that partly recycles terms from lower orders in the Post-Minkowskian expansion. We provide explicit results for this computation to fourth Post-Minkowskian order, the first complete calculation at this order based on scattering amplitudes.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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