Singularities of the magnon S matrix
Singularities of the magnon S matrix
复制标题
磁振子 S 矩阵的奇点
DOI：
10.1103/physrevd.76.025011
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发表时间：
2007
影响因子：
5
通讯作者：
J. Maldacena
中科院分区：
文献类型：
--
作者：
N. Dorey;D. Hofman;J. Maldacena
研究了平面Ν = 4 SUSY Yang-Mills/AdS 5 X s5弦自旋链描述中磁振子S矩阵的解析结构。半经典分析表明，精确的S矩阵在动量空间的实轴附近必须有一个大的极族。在本文中，我们证明了这些双极对应于Bogomol'nyi-Prasad-Sommerfield （BPS）磁振子对的交换。它们在复平面上的位置是由已知的BPS粒子的色散关系唯一固定的。这些位置与Beisert， Hernandez, Lopez, Eden, and Staudacher (J. High Energy Phys. 11 （2006) 070 and J. Stat. Mech. 01 (2007) P021）最近对S矩阵的推测完全一致。这些极点并不表示存在新的束缚态。事实上，一个非BPS定域经典解，被认为会产生新的束缚态，实际上可以衰变成一对BPS磁振子。
We investigate, the analytic structure of the magnon S matrix in the spin-chain description of planar Ν = 4 SUSY Yang-Mills/AdS 5 X S 5 strings. Semiclassical analysis suggests that the exact S matrix must have a large family of poles near the real axis in momentum space. In this article we show that these are double poles corresponding to the exchange of pairs of Bogomol'nyi-Prasad-Sommerfield (BPS) magnons. Their locations in the complex plane are uniquely fixed by the known dispersion relation for the BPS particles. The locations precisely agree with the recent conjecture for the S matrix by Beisert, Hernandez, Lopez, Eden, and Staudacher (J. High Energy Phys. 11 (2006) 070 and J. Stat. Mech. 01 (2007) P021). These poles do not signal the presence of new bound states. In fact, a certain non-BPS localized classical solution, which was thought to give rise to new bound states, can actually decay into a pair of BPS magnons.