论文标题

非常特殊的相对论中的光子光子散射

Photon-Photon Scattering in Very Special Relativity

论文作者

Alfaro, Jorge, Soto, Alex

论文摘要

从Mandelstam-Leibbrandt处方开始,我们引入了一个Null Vector $ \ bar {n} $的一般规则,以计算任何$ SIM(2)$积分和图表,并具有任意数量的外部腿。使用新的处方,提出了非常特殊相对(VSR)框架下光子光子散射的低能极限的计算。处方自动保留与量规对称相对应的病房身份。在低动量近似中,我们获得了光子光子散射的标准非偏差横截面。结果表明,在VSR中,带有任何外部光子腿的回路将为零。

Starting from the Mandelstam-Leibbrandt prescription, we introduce a general rule for the null vector $\bar{n}$ to compute any $SIM(2)$ integral and diagram with an arbitrary number of external legs. Using the new prescription, the computation of the low energy limit of photon-photon scattering under the Very Special Relativity (VSR) framework is presented. The prescription preserves automatically the Ward identities corresponding to the gauge symmetry. Within the low momentum approximation we get the standard unpolarized differential cross section for photon-photon scattering. The result suggests that loops with any external photon legs on-shell will be zero in VSR.

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