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

[1]

. Numbu Y. Phys. Rev., 1974, D10: 4262; Mandelstam S.Phys. Rep., 1976, C23: 2452. 't Hooft G. Nucl. Phys., 1978, B138: 1; Nucl. Phys., 1979,B153: 141; Polyakov A M. Nucl. Phys., 1977, B120: 4293. Faddeev L D, Niemi A J. Phys. Rev. Lett., 1999, 82: 16244. Cho Y M, Pak D G. Phys. Lett., 2006, B632: 7455. Suzuki T et al. Phys. Rev., 1990, D42: 4257; Bali G,Bornyakov V et al. Phys. Rev., 1996, D54: 2863; Suganuma H et al. Phys. Rev., 1999, D60: 77501; Suganumaa H, Ichie H. Nucl. Phys., 2003, 121(Proc. Suppl.): 3166. Chernodub M N, Polikarpov M I et al. Nucl. Phys., 1996,49(Proc. Suppl.): 307; Giacomo A D, Paffuti G. Phys.Rev., 1997, D56: 6816; Schilling K, Bali G S et al. Nucl.Phys., 1999, 73: 6387. Chernodub M N, Ishiguro K et al. Phys. Rev., 2005, D72:074505; Koma Y et al. Phys. Rev., 2003, D68: 1145048. Sekido T, Ishiguro K et al. Pos. (Lat 2005): 329. hep-lat/05110279. Suzuki T. Prog. Theor. Phys., 1988, 80: 92910. DUAN Y S, GE M L. Sci. Sin., 1979, 11: 107211. Cho Y M. Phys. Rev., 1980, D21: 108012. Faddeev L D, Niemi A J. Nature., 1997, 387: 58; Battye R, Sutcliffe P. Phys. Rev. Lett., 1998, 81: 479813. Cho Y M et al. Phys. Lett., 2002, B525: 347; Mod. Phys.Lett., 2004, A19: 2707; Kondo K I. Phys. Lett., 2004,B600: 28714. DUAN Y S, Lee X G. Helv. Phys. Acta, 1995, 68: 513;DUAN Y S, MENG X H. J. Math. Phys., 1993, 34: 114915. JIA D J, DUAN Y S. Mod. Phys. lett., 2001, A16: 1863;DUAN Y S, LIU X et al. Phys. Rev., 2003, D67: 08502216. Lee T D. Particle Physics and Introduction to Field Theory.Harwood: Harwood Academic Publishers, 1983. 7-1417. Diakonov D, Petrov V. Phys. Lett., 1989, B224: 131; 1990,B242: 42518. Kondo K I. Phys. Rev., 1998, D58: 105016; Cho Y M.Phys. Rev., 2000, D62: 07400919. JIA D J. HEP NP, 2006, 30(3): 19620. Schilling K, Bali G S, Schichter C. Prog. Theor., 1998,131(Proc. Suppl.): 645 (in Chinese)(贾多杰.高能物理与核物理,2006,30(3): 196)

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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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