与小西拳击
Boxing with Konishi
摘要：
N=4超Yang-Mills理论的算符谱的自旋链表述受到"包裹“问题的困扰，即在高圈阶时，该表述对于短自旋链长度是不适用的。缠绕的第一个例子涉及小西算子的第四反常维度。虽然我们还没有得到这个数字，但我们提出了一个计算它的操作方案。该方法通过一个五环和六环扇区。我们表明，所有的费曼积分，但一个从这个部门有关的五个主图应该是可计算的方法的部分集成。剩余的超图被认为是消失或有限的，数值处理应该是可能的。分子项的数量保持小，即使进一步四回路扇区包括在内。不需要红外重排。
英文摘要：
The spin chain formulation of the operator spectrum of the N=4 super Yang-Mills theory is haunted by the problem of ``wrapping'', i.e. the inapplicability of the formalism for short spin chain length at high loop-order. The first instance of wrapping concerns the fourth anomalous dimension of the Konishi operator. While we do not obtain this number yet, we lay out an operational scheme for its calculation. The approach passes through a five- and six-loop sector. We show that all but one of the Feynman integrals from this sector are related to five master graphs which ought to be calculable by the method of partial integration. The remaining supergraph is argued to be vanishing or finite; a numerical treatment should be possible. The number of numerator terms remains small even if a further four-loop sector is included. There is no need for infrared rearrangements.
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