近似博戈莫尔尼-普拉萨德-索末菲态

Approximate Bogomol'nyi-Prasad-Sommerfield states.

作者信息

Hiller J R, Pinsky S S, Trittmann U

机构信息

Department of Physics, University of Minnesota Duluth, Duluth, Minnesota 55812, USA.

出版信息

Phys Rev Lett. 2002 Oct 28;89(18):181602. doi: 10.1103/PhysRevLett.89.181602. Epub 2002 Oct 14.

DOI:10.1103/PhysRevLett.89.181602

PMID:12398590

Abstract

We consider dimensionally reduced three-dimensional supersymmetric Yang-Mills-Chern-Simons theory. Although the N=1 supersymmetry of this theory does not allow local massive Bogomol'nyi-Prasad-Sommerfield (BPS) states, we find approximate BPS states which have nonzero masses that are almost independent of the Yang-Mills coupling constant and which are a reflection of the massless BPS states of the underlying N=1 super-Yang-Mills theory. The masses of these states at large Yang-Mills coupling are exactly at the n-particle continuum thresholds. This leads to a relation between their masses at zero and large Yang-Mills coupling.

摘要

我们考虑维数约化的三维超对称杨-米尔斯-陈-西蒙斯理论。尽管该理论的N = 1超对称性不允许存在局域大质量的博戈莫尔尼-普拉萨德-索末菲（BPS）态，但我们发现了近似BPS态，其具有非零质量，且这些质量几乎与杨-米尔斯耦合常数无关，并且是基础N = 1超杨-米尔斯理论中无质量BPS态的一种反映。在大杨-米尔斯耦合下，这些态的质量恰好处于n粒子连续统阈值。这导致了它们在零杨-米尔斯耦合和大杨-米尔斯耦合下质量之间的一种关系。