Form factors at strong coupling via a Y-system
Form factors at strong coupling via a Y-system
复制标题
DOI：
10.1007/jhep11(2010)104
复制
发表时间：
2010-09
影响因子：
5.4
通讯作者：
J. Maldacena;A. Zhiboedov
中科院分区：
文献类型：
--
作者：
J. Maldacena;A. Zhiboedov
我们在强耦合下计算平面Super Yang-Mills的形状因子。也就是说，我们考虑了算符插入和2n胶子之间的重叠。通过规范/弦对偶，这些由AdS空间中的极小曲面给出。曲面在AdS的边界处终止于空段的无限周期序列上。我们认为表面，可以嵌入在AdS 3。我们推导出一组作为光谱参数的函数的交比的函数方程。这些方程是Y系统的形式。Y系的积分形式具有热力学贝特安德拉形式。该面积由TBA系统的自由能或Yang-Yang泛函的临界值给出。我们考虑一组限制的算子，它们与\（\sqrt {{\uplambda}\）相比具有较小的共形维数。
We compute form factors in planarSuper Yang-Mills at strong coupling. Namely we consider the overlap between an operator insertion and 2n gluons. Through the gauge/string duality these are given by minimal surfaces in AdS space. The surfaces end on an infinite periodic sequence of null segments at the boundary of AdS. We consider surfaces that can be embedded in AdS 3. We derive set of functional equations for the cross ratios as functions of the spectral parameter. These equations are of the form of a Y-system. The integral form of the Y-system has Thermodynamics Bethe Ansatz form. The area is given by the free energy of the TBA system or critical value of Yang-Yang functional. We consider a restricted set of operators which have small conformal dimension compared to\(\sqrt {{{\uplambda}}}\).