arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1806.02702hep-thgr-qc
收藏

四引力子散射与真时规范下的弦路径积分

Four-Graviton Scattering and String Path Integral in the Proper-time gauge

Taejin Lee

摘要:

我们利用Polyakov弦路径积分计算了四闭弦散射振幅。通过确定四闭弦顶点的Fock空间表示,得到了闭弦散射振幅的场论表达式。在零斜率极限下,四闭弦散射振幅退化为爱因斯坦引力的四引力子散射振幅。然而,在有限斜率下,本征时间规范中的四引力子散射振幅不仅与爱因斯坦引力的散射振幅不同,而且与弦论中用顶点算符技术得到的散射振幅也有很大的不同。这种差异主要是由于在四重散射振幅中存在闭合弦快子极,而这在以前的工作中是缺失的。由于在散射振幅中的快子极点显著地改变了引力相互作用的短距离行为,它们对于理解与量子引力微扰理论和弦论框架内的暗物质相关的问题可能是重要的。

英文摘要:

We evaluate the four-closed-string scattering amplitude, using the Polyakov string path integral in the proper-time gauge. By identifying the Fock space representation of the four-closed-string-vertex, we obtain a field theoretic expression of the closed string scattering amplitudes. In the zero-slope limit, the four-closed-string scattering amplitude reduces to the four-graviton-scattering amplitude of Einstein's gravity. However, at a finite slope, the four-graviton scattering amplitude in the proper-time gauge differs not only from that of Einstein gravity, but also significantly differs from the conventional one obtained by using the vertex operator technique in string theory. This discrepancy is mainly due to the presence of closed string tachyon poles in the four-graviton-scattering amplitude, which are missing in previous works. Because the tachyon poles in the scattering amplitude considerably alter the short distance behavior of gravitational interaction, they may be important in understanding problems associated with the perturbative theory of quantum gravity and the dark matter within the framework of string theory.

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。

↑