Leading logarithms in the massive O(N) nonlinear sigma model

被引：24

作者：

Bijnens, Johan ^{[1
]}

Carloni, Lisa ^{[1
]}

机构：

[1] Lund Univ, Dept Theoret Phys, SE-22362 Lund, Sweden

来源：

NUCLEAR PHYSICS B | 2010年 / 827卷 / 1-2期

关键词：

Renormalization group evolution of parameters; Expansions for large numbers of components (e.g; 1/N expansions); Spontaneous and radiative symmetry breaking; Chiral Lagrangians; CHIRAL PERTURBATION-THEORY; LARGE-N LIMIT; PHENOMENOLOGICAL LAGRANGIANS; LOW-ENERGY; LOOPS; SYMMETRY; RENORMALIZATION;

D O I：

10.1016/j.nuclphysb.2009.10.028

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

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. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：237 / 255

页数：19

共 27 条

[11] Chiral logarithms beyond two loops [J].