The low energy expansion of the one-loop type II superstring amplitude
The low energy expansion of the one-loop type II superstring amplitude
复制标题
单环II型超弦振幅的低能展开
DOI：
10.1103/physrevd.61.104011
复制
发表时间：
1999
影响因子：
5
通讯作者：
P. Vanhove
中科院分区：
文献类型：
--
作者：
M. Green;P. Vanhove
在任何一种II型超弦理论中，单圈四引力子振幅都可以用外动量的幂展开，直到并包括s^4 log s R^4阶项，其中R^4表示四个线性化外尔张量的特定收缩，s是曼德尔不变量。这个级数中的项是通过对二维标量场理论传播子在环面世界片上的幂和环面的模积分得到的。这些系数的值符合弦理论和11维超引力之间对偶关系的预期。
The one-loop four-graviton amplitude in either of the type II superstring theories is expanded in powers of the external momenta up to and including terms of order s^4 log s R^4, where R^4 denotes a specific contraction of four linearized Weyl tensors and s is a Mandelstam invariant. Terms in this series are obtained by integrating powers of the two-dimensional scalar field theory propagator over the toroidal world-sheet as well as the moduli of the torus. The values of these coefficients match expectations based on duality relations between string theory and eleven-dimensional supergravity.