The grassmannian sigma model in SU(2) Yang-Mills theory

被引：5

作者：

Marsh, David ^{[1
]}

机构：

[1] Uppsala Univ, Dept Theoret Phys, SE-75108 Uppsala, Sweden

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 32期

关键词：

D O I：

10.1088/1751-8113/40/32/015

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Spin-charge separation in pure SU(2) Yang-Mills theory was recently found to involve the dynamics of an O(3) nonlinear sigma model and, seemingly, a Grassmannian nonlinear sigma model. In this paper we explicitly construct the Grassmannian sigma model of the form appearing in the spin-charge separated SU(2) theory through a quaternionic decomposition of the manifold, thus verifying its relevance in this context. The coupling between this model and the O(3) nonlinear sigma model is further commented upon.

引用

页码：9919 / 9928

页数：10

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