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arXiv 1902.07016hep-th
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DDF算符、开弦相干态及其散射振幅

DDF operators, open string coherent states and their scattering amplitudes

Massimo Bianchi, Maurizio Firrotta

摘要:

我们研究了DDF(在Di Vecchia,Del Giudice,Fubini之后)形式下弦相干态的相互作用。为了简单起见,我们把重点放在开玻色弦上。在回顾DDF运营商和激发开弦的基本属性,我们提出了一些经典的配置文件,并显示它们如何变得越来越紧凑的谐波数量增加在固定的质量。然后,我们计算各种三点和四点振幅插入相干态,快子和矢量玻色子的边界上的磁盘依赖于一个方便的选择参考零动量。我们发现振幅以一种相当微妙和有趣的方式指数化。然后,我们研究了高能量的固定角度的限制,占主导地位的鞍点时,相干态,和软行为的矢量玻色子的动量取为零。我们简要地评论我们的分析,以多个交叉和磁化的D-膜和封闭的字符串的推广。

英文摘要:

We study interactions of string coherent states in the DDF (after Di Vecchia, Del Giudice, Fubini) formalism. For simplicity we focus on open bosonic strings. After reviewing basic properties of DDF operators and of excited open strings, we present some classical profiles and show how they become more and more compact as the number of harmonics increases at fixed mass. We then compute various three- and four-point amplitudes with insertions of coherent states, tachyons and vector bosons on the boundary of the disk relying on a convenient choice of reference null momenta. We find that the amplitudes exponentiate in a rather subtle and interesting way. We then study the high-energy fixed-angle limit, dominated by a saddle-point when coherent states are present, and the soft behaviour as the momentum of a vector boson is taken to zero. We briefly comment on generalisation of our analysis to multiple intersecting and magnetised D-branes and to closed strings.

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