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arXiv 0801.3358hep-th
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关于快子action的高阶导数修正

On higher derivative corrections of tachyon action

Mohammad R. Garousi, Hanif Golchin

摘要:

我们研究了两个快子和两个规范场的盘级S-矩阵元的动量展开,在壳层上不明确的情况下,找到了N个符合非BPS D-膜的世界体积理论中这些场与所有阶$α'$的耦合。利用D-膜-反D-膜的作用量是两个非BPS D-膜的作用量在$(-1)^{F_L}$上的投影这一假设,我们在膜-反膜系统的世界体积理论中找到了相应的耦合.利用这些无限大的耦合塔,我们在膜-反膜理论中计算了一个RR场、两个快子和一个规范场的散射振幅的无质量极点。我们发现,对于$α'$的所有阶数,场论振幅的无质量极点恰好等于一个RR、两个快子和一个规范场的盘级S矩阵元的无质量极点.

英文摘要:

We have examined the momentum expansion of the disk level S-matrix element of two tachyons and two gauge fields to find, up to on-shell ambiguity, the couplings of these fields in the world volume theory of N coincident non-BPS D-branes to all order of $α'$. Using the proposal that the action of D-brane-anti-D-brane is given by the projection of the action of two non-BPS D-branes with $(-1)^{F_L}$, we find the corresponding couplings in the world volume theory of the brane-anti-brane system. Using these infinite tower of couplings, we then calculate the massless pole of the scattering amplitude of one RR field, two tachyons and one gauge field in the brane-anti-brane theory. We find that the massless pole of the field theory amplitude is exactly equal to the massless pole of the disk level S-matrix element of one RR, two tachyons and one gauge field to all order of $α'$.

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