标题： 极化深度非弹性散射中算符的异常维度在O(1/N_f)阶 显示英文标题

标题： Anomalous dimensions of operators in polarized deep inelastic scattering at O(1/N_f)

摘要： 临界指数对于各种二阶扭曲复合算符进行了计算，这些算符出现在极化和非极化深度非弹性散射中，在1/N_f展开的领先阶进行计算。 所得的d维表达式，取决于算符的矩，与最近的显式二环和三环微扰计算结果一致。 所使用临界点方法的一个有趣方面是，直接计算了对角化微扰混合矩阵的味单态本征算符的反常维度。 我们还阐明了在固定点处gamma^5的处理，这对于简化极化算符的计算很重要。 最后，通过考虑算符形式中异常的重整化，确定了单态轴矢流的反常维度在O(1/N_f)阶。 显示英文摘要

摘要： Critical exponents are computed for a variety of twist-2 composite operators, which occur in polarized and unpolarized deep inelastic scattering, at leading order in the 1/N_f expansion. The resulting d-dimensional expressions, which depend on the moment of the operator, are in agreement with recent explicit two and three loop perturbative calculations. An interesting aspect of the critical point approach which is used, is that the anomalous dimensions of the flavour singlet eigenoperators, which diagonalize the perturbative mixing matrix, are computed directly. We also elucidate the treatment of gamma^5 at the fixed point which is important in simplifying the calculation for polarized operators. Finally, the anomalous dimension of the singlet axial current is determined at O(1/N_f) by considering the renormalization of the anomaly in operator form.