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High Energy Physics - Lattice

arXiv:hep-lat/0302006 (hep-lat)
[Submitted on 12 Feb 2003 (v1) , last revised 14 Aug 2003 (this version, v2)]

Title: Duality of gauge field singularities and the structure of the flux tube in Abelian-projected SU(2) gauge theory and the dual Abelian Higgs model

Title: 规范场奇点的对偶性与阿贝尔投影的SU(2)规范理论及对偶阿贝尔Higgs模型中的通量管结构

Authors:Y. Koma, M. Koma, E.-M. Ilgenfritz, T. Suzuki, M.I. Polikarpov
Abstract: The structure of the flux-tube profile in Abelian-projected (AP) SU(2) gauge theory in the maximally Abelian gauge is studied. The connection between the AP flux tube and the classical flux-tube solution of the U(1) dual Abelian Higgs (DAH) model is clarified in terms of the path-integral duality transformation. This connection suggests that the electric photon and the magnetic monopole parts of the Abelian Wilson loop can act as separate sources creating the Coulombic and the solenoidal electric field inside a flux tube. The conjecture is confirmed by a lattice simulation which shows that the AP flux tube is composed of these two contributions.
Abstract: 阿贝尔投影(AP)SU(2)规范理论在最大阿贝尔规范下的通量管轮廓结构被研究。 通过路径积分对偶变换,明确了AP通量管与U(1)对偶阿贝尔希格斯(DAH)模型的经典通量管解之间的联系。 这种联系表明,阿贝尔威尔逊环的电光子和磁单极子部分可以作为独立源,在通量管内部产生库仑电场和螺线管电场。 该假设通过晶格模拟得到确认,结果表明AP通量管由这两部分贡献组成。
Comments: 17 pages, 10 eps figures, revtex4, old sec.2 and 3 are combined, a figure and references are added, relation to our next paper (hep-lat/0308008) is also discussed
Subjects: High Energy Physics - Lattice (hep-lat)
Cite as: arXiv:hep-lat/0302006
  (or arXiv:hep-lat/0302006v2 for this version)
  https://doi.org/10.48550/arXiv.hep-lat/0302006
arXiv-issued DOI via DataCite
Journal reference: MPI-PhT/2003-06, HU-EP-03/05, KANAZAWA-03-04
Related DOI: https://doi.org/10.1103/PhysRevD.68.094018
DOI(s) linking to related resources

Submission history

From: Yoshiaki Koma [view email]
[v1] Wed, 12 Feb 2003 14:02:38 UTC (357 KB)
[v2] Thu, 14 Aug 2003 12:00:36 UTC (364 KB)
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