NONLINEAR SIGMA-MODELS AND THEIR Q-LUMP SOLUTIONS

被引：39

作者：

ABRAHAM, E

机构：

[1] Department of Applied Mathemathics and Theoretical Physics, University of Cambridge, Cambridge

来源：

PHYSICS LETTERS B | 1992年 / 278卷 / 03期

关键词：

D O I：

10.1016/0370-2693(92)90195-A

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We find the conditions under which the three-dimensional Kahler sigma model with a potential term has non-dissipative but time dependent solutions, called Q-lumps, which saturate a Bogomol'nyi bound. These solutions only exist if the target manifold has a Killing vector field, k(alpha), with at least one fixed point and if the potential is of the form V = g(alpha-beta)k(alpha)k(beta). This potential arises from dimensional reduction and in the linearised theory it is just a mass term. We discuss the elementary properties of the Q-lump solutions and construct explicit examples for the CP(n) sigma models.

引用

页码：291 / 296

页数：6

共 9 条

[1] Q-BALLS [J].