大规模O（N）非线性西格玛模型中的前导对数
Leading Logarithms in the Massive O(N) Nonlinear Sigma Model
摘要：
我们审查Buchler和Colangelo的结果，领导分歧在任何循环顺序可以计算使用只有一个循环计算，我们提供了一个替代的证明。然后用这种方法计算了大质量O（N）非线性西格玛模型中介子质量到五圈阶的领先发散和领先对数修正。我们还计算了所有循环的结果，以领先的顺序在大$N$扩展，通过显示，只有仙人掌图的贡献，并通过总结这些通过一个广义的间隙方程。
英文摘要：
We review Buchler and Colangelo's result that leading divergences at any loop order can be calculated using only one-loop calculations and we provide an alternative proof. We then use this method to calculate the leading divergences of and thus the leading logarithmic corrections to the meson mass in the massive O(N) nonlinear sigma model to five-loop order. We also calculate the all-loop result to leading order in the large $N$ expansion by showing that only cactus diagrams contribute and by summing these via a generalized gap equation.
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