a Note on Spin Chain/string Duality
a Note on Spin Chain/string Duality
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DOI：
10.1142/s0217751x05020975
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发表时间：
2004-03
影响因子：
1.6
通讯作者：
H. Dimov;R. Rashkov
中科院分区：
文献类型：
--
作者：
H. Dimov;R. Rashkov
最近，在N = 4对称弦和旋转弦中某些算符的反常维数匹配方面取得了重大进展。这种对应关系主要是利用Bethe变换技术应用于自旋海森堡链模型而建立的。在最近的一篇论文中，作者建议使用sigma模型方法来求解海森堡模型。在目前的工作中，我们推广了参考文献16中提出的解，并对对偶弦理论进行了评论。结果表明，我们的解与旋转弦的一个广义逆有关，它可以归结为所谓的Neumann-Rosochatius可积系统。我们评论的自旋链西格玛模型和字符串的解决方案和更精确的制定弦/规范理论对应的可能性。
Recently a significant progress in matching the anomalous dimensions of certain class of operators in N = 4 SYM and rotating strings was made. The correspondence was established mainly by use of Bethe ansatz technique applied to the spin s Heisenberg chain model. In a recent paper,16 the author suggested to solve the Heisenberg model by use of sigma model approach. In this current work we generalize the solutions presented in Ref. 16 and comment on the dual string theory. It turns out that our solution is related to a generalized ansatz for rotating strings which can be reduced to the so-called Neumann–Rosochatius integrable system. We comment on the spin chain sigma model and string solutions and the possibilities for a more precise formulation of the string/gauge theory correspondence.