Skyrmions, instantons, mass and curvature
Skyrmions, instantons, mass and curvature
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DOI：
10.1016/j.physletb.2004.11.015
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发表时间：
2005-01-06
影响因子：
4.4
通讯作者：
Sutcliffe, P
中科院分区：
文献类型：
--
作者：
Atiyah, M;Sutcliffe, P
对于介子质量与双曲空间曲率之间的特殊关系，我们证明了在双曲空间中具有无质量介子的skyrimons提供了在欧几里德空间中具有大质量介子的skyrimons的很好的近似。利用这一结果，我们描述了欧几里得空间中具有大质量介子的天子是如何用沿杨-米尔斯瞬子圆的完整度来近似的。这是由完整度沿瞬子线近似的skyrmions的推广，它只适用于无质量的介子。(C) 2004 Elsevier B.V.版权所有
We show that skyrimons with massless pions in hyperbolic space provide a good approximation to skyrmions with massive pions in Euclidean space, for a particular relationship between the pion mass and the curvature of hyperbolic space. Using this result we describe how a skyrmion with massive pions in Euclidean space can be approximated by the holonomy along circles of a Yang-Mills instanton. This is a generalization of the approximation of skyrmions by the holonomy along lines of an instanton, which is only applicable to massless pions. (C) 2004 Elsevier B.V. All rights reserved.