Hopf soliton solutions from low energy effective action of SU(2) Yang-Mills theory

被引：5

作者：

Sawado, N ^{[1
]}

Shiiki, N ^{[1
]}

Tanaka, S ^{[1
]}

机构：

[1] Tokyo Univ Sci, Fac Sci & Technol, Dept Phys, Noda, Chiba 2788510, Japan

来源：

MODERN PHYSICS LETTERS A | 2006年 / 21卷 / 15期

关键词：

topological solitons; Yang-Mills theory; second derivative field theory;

D O I：

10.1142/S0217732306020627

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

The Skyrme-Faddeev-Niemi (SFN) model which is an O(3) sigma-model in three-dimensional space up to fourth-order in the first derivative is regarded as a low-energy effective theory of SU(2) Yang-Mills theory. One can show from the Wilsonian renormalization group argument that the effective action of Yang-Mills theory recovers the SFN in the infrared region. However, the theory contains another fourth-order term which destabilizes soliton solutions. We find the stable soliton solutions in this extended action, introducing a second derivative term as a stabilizer. A perturbative technique for the second derivative term is applied to exclude (or reduce) the ill behavior of the action. A new topological energy bound formula is inferred for the action.

引用

页码：1189 / 1202

页数：14

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