Analytical On-shell Calculation of Low Energy Higher Order Scattering

Analytical On-shell Calculation of Low Energy Higher Order Scattering
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DOI:
10.1088/0954-3899/44/1/01lt01
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发表时间:
2016-09
期刊:
Journal of Physics G
影响因子:
--
通讯作者:
B. Holstein
B. Holstein
中科院分区:
其他
文献类型:
--
作者:
B. Holstein

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我们表明,使用分析壳方法,包括计算的不连续性跨T-通道切割与交换一对无质量的粒子(光子或引力子),可以用来评估一个循环的电磁和引力散射的贡献,有和没有极化率,通过简单的代数操作再现,以前得到的结果,一般使用费曼图技术。在引力的情况下,使用因式分解允许一个简单的和代数计算的高阶散射不考虑鬼贡献或三重引力子耦合,这使得以前的评估相当困难。
We demonstrate that the use of analytical on-shell methods involving calculation of the discontinuity across the t-channel cut associated with the exchange of a pair of massless particles (photons or gravitons) can be used to evaluate one-loop contributions to electromagnetic and gravitational scattering, with and without polarizability, reproducing via simple algebraic manipulations, results obtained previously, generally using Feynman diagram techniques. In the gravitational case the use of factorization permits a straightforward and algebraic calculation of higher order scattering without consideration of ghost contributions or of triple-graviton couplings, which made previous evaluations considerably more arduous.