Dual Superconductor Vacuum in Strongly-Coupled Yang-Mills Theory

JIA Duo-Jie; AI De-Zhen

Chinese Physics C> 2007, Vol. 31> Issue(5) : 431-436

Dual Superconductor Vacuum in Strongly-Coupled Yang-Mills Theory

JIA Duo-Jie ,
AI De-Zhen ^,

Institute of Theoretical Physics, College of Physics and Electronic Engineering,Northwest Normal University, Lanzhou 730070, China2 Interdisciplinary Center for Theoretical Study, University of Science & Technology of China,Hefei 230026, China

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Abstract：
Based on the ultraviolet/infrared scale separation of the connection decomposition variables, we propose that at the classic level the strong-coupling limit of the Yang-Mills theory vacuum behaves as a black hole with regard to colors. With this idea, we prove that there exists a dual superconductor solution for the strongly-coupled Yang-Mills theory, whose vacuum is made up of a many-body system of magnetic charges at the quantum level. The classic average of the theory reproduce the dual Abelian-Higgs model. This model predicts a result which is consistent with recent lattice simulations. The vacuum of the SU(2) gluodynamics is at border between type-Ⅰ and type-Ⅱ. The dual Meissner effect of Chromo-electric field is discussed by solving the dual Abelian-Higgs model.

References

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JIA Duo-Jie and AI De-Zhen. Dual Superconductor Vacuum in Strongly-Coupled Yang-Mills Theory[J]. Chinese Physics C, 2007, 31(5): 431-436.

JIA Duo-Jie and AI De-Zhen. Dual Superconductor Vacuum in Strongly-Coupled Yang-Mills Theory[J]. Chinese Physics C, 2007, 31(5): 431-436. shu

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Received: 2006-10-08
Revised: 2006-11-14

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Dual Superconductor Vacuum in Strongly-Coupled Yang-Mills Theory

Corresponding author: AI De-Zhen,

Institute of Theoretical Physics, College of Physics and Electronic Engineering,Northwest Normal University, Lanzhou 730070, China2 Interdisciplinary Center for Theoretical Study, University of Science & Technology of China,Hefei 230026, China

Received Date: 2006-10-08

Accepted Date: 2006-11-14

Available Online: 2007-05-05

Abstract: Based on the ultraviolet/infrared scale separation of the connection decomposition variables, we propose that at the classic level the strong-coupling limit of the Yang-Mills theory vacuum behaves as a black hole with regard to colors. With this idea, we prove that there exists a dual superconductor solution for the strongly-coupled Yang-Mills theory, whose vacuum is made up of a many-body system of magnetic charges at the quantum level. The classic average of the theory reproduce the dual Abelian-Higgs model. This model predicts a result which is consistent with recent lattice simulations. The vacuum of the SU(2) gluodynamics is at border between type-Ⅰ and type-Ⅱ. The dual Meissner effect of Chromo-electric field is discussed by solving the dual Abelian-Higgs model.

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Dual Superconductor Vacuum in Strongly-Coupled Yang-Mills Theory

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