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arXiv 2605.18544hep-thgr-qchep-ph
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高能下的经典引力冲量

The Classical Gravitational Impulse at High Energies

Mani L. Bhaumik Institute for Theoretical Physics, University of California at Los Angeles(加州大学洛杉矶分校马尼·L·巴乌米克理论物理研究所)

Michael Saavedra

AI总结:

本文通过计算两个经典大质量标量在极相对论极限下的引力冲量,所有阶数的牛顿常数$G_N$展开,并在固定$G_N s/m b$到$O(m^4/s^2)$的情况下,利用小质量极限下的4点和5点散射振幅进行重新求和,恢复了高能下的经典结果,与后闵可夫斯基展开已知结果一致,并在无质量极限下恢复了辐射能量的先前结果。

摘要:

我们计算了两个经典大质量标量在极相对论极限下的引力冲量,所有阶数的牛顿常数$G_N$展开,并在固定$G_N s/m b$到$O(m^4/s^2)$的情况下,通过计算小质量极限下的4点和5点散射振幅,能够重新求和所有大的$G_N s$修正。应用KMOC公式计算冲量,并取大质量极限,恢复了高能下的经典结果。这种重新求和与已知的后闵可夫斯基展开结果完全一致,在无质量极限下恢复了先前的辐射能量结果。我们使用这个重新求和的振幅来预测PM展开的第十一后闵可夫斯基阶的主导高能行为。

英文摘要:

We compute the gravitational impulse for two classical massive scalars in the ultrarelativistic limit to all orders in Newton's constant $G_N$ at fixed $G_N s/m b$ to $O(m^4/s^2)$. By computing the 4 and 5-point scattering amplitudes in the small-mass regime of $-t\sim m^2$, we are able to resum all large $G_N s$ corrections. Applying the KMOC formula for the impulse and taking the large mass limit, we recover the classical result at high energies. This resummation is in complete agreement with known results in the post-Minkowski expansion, and in the massless limit we recover previous results for the radiated energy. We use this resummed amplitude to predict the leading high-energy behavior of the PM expansion to eleventh post-Minkowski order.

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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