Explicit formulas for Neumann coefficients in the plane-wave geometry
Explicit formulas for Neumann coefficients in the plane-wave geometry
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平面波几何中诺伊曼系数的显式公式
DOI：
10.1103/physrevd.67.086005
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发表时间：
2002
影响因子：
5
通讯作者：
A. Volovich
中科院分区：
文献类型：
--
作者：
Yang;J. Schwarz;M. Spradlin;A. Volovich
对于质量参数 mu 的任意值，我们获得了平面波背景下 IIB 型弦理论三弦顶点中出现的诺依曼系数和相关量的显式公式。推导涉及构造某个无限维矩阵的逆矩阵，之前的诺依曼系数只是隐式地写入该矩阵。我们推导了大 mu 的渐近展开式，并发现了意想不到的简单结果，这对 1/mu 中的所有阶都有效。使用 BMN 对偶性，这些可以对修改后的“t Hooft 耦合 lambda”中的所有阶数的某些规范理论量进行预测。给出了一个具体的例子。
We obtain explicit formulas for the Neumann coefficients and associated quantities that appear in the three-string vertex for type IIB string theory in a plane-wave background, for any value of the mass parameter mu. The derivation involves constructing the inverse of a certain infinite-dimensional matrix, in terms of which the Neumann coefficients previously had been written only implicitly. We derive asymptotic expansions for large mu and find unexpectedly simple results, which are valid to all orders in 1/mu. Using BMN duality, these give predictions for certain gauge theory quantities to all orders in the modified 't Hooft coupling lambda'. A specific example is presented.