Monopole Dynamics of Yang-Mills Theory without Gauge-Fixing

  • A new off-shell decomposition of SU(2) gauge field without any gauge fixing is proposed. This decomposition yields, for an appropriate gauge-fixing, a Skyrme-Faddeev-like Wilsonian action and confirms the presence of high-order derivatives of a color-unit-vector at the classical level. The ′t Hooft′s conjecture that "monopole" dynamics of infrared Yang-Mills theory is projection independent is also independently demonstrated.
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  • [1] . Polyakov A .Nucl.Phys.(Proc.Suppl.),1998,68:192. Faddeev L D ,Niemi A J .Phys.Rev.Lett.,1999,82:16243. Langmann E ,Niemi A J.Phys.Lett.,1999,B463:252 4. Cho Y M .hep- th/9906198 5. Faddeev L D ,Niemi A J .Nature,1997,387:58 6. DUAN Y S ,GEM .L Sci.Sin.,1979,11:1072 7. Cho Y M .Phys.Rev.,1980,D44:1155 8. Duoje J, DUAN Y S .Mod.Phys.Lett.,2001,A16:29 9. Shabanov S V .Phys.Lett.,1999,B463:263 10. Gies H .Phys.Rev.,2001,D63:125023 11. ’tHooft G .Nucl.Phys.,1979,B153:141;Nucl.Phys.,1981,B[FS]190:455;Polyakov A .Nucl.Phys.,1977,B120:42912. Faddeev L D ,Niemi A J .Phys.Lett.,1999,B464:90 13. WU T T ,YANG C N .Phys.Rev.,1975,D12:3845 14. ’tHooft G .Nucl.Phys.,1974,B79:276 15. Numbu Y .Phys.Rev.,1974,D10:4262;Mandelstam S .Phys.Rep.1976,C23:245 16. Giacomo A Di,Lucini B et al.Color Confinement and dualsuperconductivity of the vacuum I,hep -th/990602417. Suzuki T et al.Phys.Rev.,1990,D42:4257;Stack J et al.Phys.Rev.,1994,D50:3399;Bali G ,Bornyakov V et al.Phys.Rev.,1996,D54:2863
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JIA Duojie and LI Xi-Guo. Monopole Dynamics of Yang-Mills Theory without Gauge-Fixing[J]. Chinese Physics C, 2003, 27(4): 293-298.
JIA Duojie and LI Xi-Guo. Monopole Dynamics of Yang-Mills Theory without Gauge-Fixing[J]. Chinese Physics C, 2003, 27(4): 293-298. shu
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Received: 2002-05-23
Revised: 1900-01-01
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Monopole Dynamics of Yang-Mills Theory without Gauge-Fixing

    Corresponding author: JIA Duojie,
  • Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou 730000, China2 Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000, China3 Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Accelerator, Lanzhou 730000, China

Abstract: A new off-shell decomposition of SU(2) gauge field without any gauge fixing is proposed. This decomposition yields, for an appropriate gauge-fixing, a Skyrme-Faddeev-like Wilsonian action and confirms the presence of high-order derivatives of a color-unit-vector at the classical level. The ′t Hooft′s conjecture that "monopole" dynamics of infrared Yang-Mills theory is projection independent is also independently demonstrated.

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