论文标题

在n = 4符号理论,临界指标和集成性中,对扭曲2运算符异常维度的费米子贡献

Fermionic contribution to the anomalous dimension of twist-2 operators in N=4 SYM theory, critical indices and integrability

论文作者

Velizhanin, V. N.

论文摘要

我们计算n = 4符号理论中扭曲2运算符异常维度的贡献,该符号与feynman图内的费米循环数量成正比,或正式与费米子的数量成正比。该方法是通过该方法基于在临界点的临界指数计算的方法,该方法与标量理论和QCD中的先前类似计算的类比。与QCD中的类似结果相比,获得的结果要简单得多,并且几乎满足了最大的跨性别原理。讨论了获得的结果与可集成性之间的可能关系。

We compute the contribution to the anomalous dimension of the twist-2 operators in N=4 SYM theory, which is proportional to the number of fermion loops inside Feynman diagrams or, formally, to the number of fermions. The result was obtained by the method based on the calculation of critical indices at the critical point by analogy with previous similar computations in scalar theories and in QCD. The obtained result is much simpler with compare to analogous results in QCD and almost satisfies the maximal transcedentality principle. A possible relation between the obtained result and integrability is discussed.

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