Flow equation of N=1 supersymmetric O(N) nonlinear sigma model in two dimensions

被引：0

作者：

Aoki, Sinya ^{[1
]}

Kikuchi, Kengo ^{[2
]}

Onogi, Tetsuya ^{[3
]}

机构：

[1] Kyoto Univ, Yukawa Inst Theoret Phys, Ctr Gravitat Phys, Kyoto 6068502, Japan

[2] Kyoto Sangyo Univ, Maskawa Inst Sci & Culture, Kyoto 6038555, Japan

[3] Osaka Univ, Dept Phys, Toyonaka, Osaka 5600043, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2018年 / 02期

关键词：

Field Theories in Lower Dimensions; Sigma Models; Supersymmetric Effective Theories; LARGE-N LIMIT; GRADIENT FLOW;

D O I：

10.1007/JHEP02(2018)128

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 study the flow equation for the N = 1 supersymmetric O(N) nonlinear sigma model in two dimensions, which cannot be given by the gradient of the action, as evident from dimensional analysis. Imposing the condition on the flow equation that it respects both the supersymmetry and the O(N) symmetry, we show that the flow equation has a specific form, which however contains an undetermined function of the supersymmetric derivatives D and (D) over bar. Taking the most simple choice, we propose a flow equation for this model. As an application of the flow equation, we give the solution of the equation at the leading order in the large N expansion. The result shows that the flow of the superfield in the model is dominated by the scalar term, since the supersymmetry is unbroken in the original model. It is also shown that the two point function of the superfield is finite at the leading order of the large N expansion.

引用

页数：16