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High Energy Physics - Theory

arXiv:hep-th/0404252 (hep-th)
[Submitted on 30 Apr 2004 (v1), last revised 9 Sep 2004 (this version, v3)]

Title:Magnetic condensation, Abelian dominance and instability of Savvidy vacuum

Authors:Kei-Ichi Kondo
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Abstract: We show that a certain type of color magnetic condensation originating from magnetic monopole configurations is sufficient to provide the mass for off-diagonal gluons in the SU(2) Yang-Mills theory under the Cho--Faddeev--Niemi decomposition. We point out that the generated gluon mass can cure the instability of the Savvidy vacuum. In fact, such a novel type of magnetic condensation is shown to occur by calculating the effective potential. This enables us to explain the infrared Abelian dominance and monopole dominance by way of a non-Abelian Stokes theorem, which suggests the dual superconductivity picture of quark confinement. Finally, we discuss the implication to the Faddeev-Skyrme model with knot soliton as a low-energy effective theory of Yang-Mills theory.
Comments: 14 pages, 2 figures; a version accepted in Phys. Lett. B, Main changes in sections 2.5 and 2.6. in order to explain the crucial idea better
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
Report number: CHIBA-EP-146
Cite as: arXiv:hep-th/0404252
  (or arXiv:hep-th/0404252v3 for this version)
  https://doi.org/10.48550/arXiv.hep-th/0404252
Journal reference: Phys.Lett. B600 (2004) 287-296
Related DOI: https://doi.org/10.1016/j.physletb.2004.09.011

Submission history

From: Kei-Ichi Kondo [view email]
[v1] Fri, 30 Apr 2004 10:19:43 UTC (82 KB)
[v2] Sat, 19 Jun 2004 14:53:22 UTC (83 KB)
[v3] Thu, 9 Sep 2004 00:18:25 UTC (83 KB)
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