155 research outputs found
The relationship between a topological Yang-Mills field and a magnetic monopole
We show that a Jackiw-Nohl-Rebbi solution, as the most general two-instanton,
generates a circular loop of magnetic monopole in four-dimensional Euclidean
SU(2) Yang-Mills theory.Comment: 3 pages, 2 figure; to be published in the proceedings of
"BARYONS'10", Dec. 7-11, 2010, Osaka, Japa
Quark confinement due to non-Abelian magnetic monopoles in SU(3) Yang-Mills theory
We present recent results on quark confinement: in SU(3) Yang-Mills theory,
confinement of fundamental quarks is obtained due to the dual Meissner effect
originated from non-Abelian magnetic monopoles defined in a gauge-invariant
way, which is distinct from the well-known Abelian projection scenario. This is
achieved by using a non-Abelian Stokes theorem for the Wilson loop operator and
a new reformulation of the Yang-Mills theory.Comment: 5 pages, 3 eps figures. Talk presented at QCD@Work 2012:
International Workshop on QCD - Theory and Experiment, June 18-21, Lecce,
Ital
Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory
The purpose of this paper is to review the recent progress in understanding
quark confinement. The emphasis of this review is placed on how to obtain a
manifestly gauge-independent picture for quark confinement supporting the dual
superconductivity in the Yang-Mills theory, which should be compared with the
Abelian projection proposed by 't Hooft. The basic tools are novel
reformulations of the Yang-Mills theory based on change of variables extending
the decomposition of the Yang-Mills field due to Cho, Duan-Ge and
Faddeev-Niemi, together with the combined use of extended versions of the
Diakonov-Petrov version of the non-Abelian Stokes theorem for the
Wilson loop operator. Moreover, we give the lattice gauge theoretical versions
of the reformulation of the Yang-Mills theory which enables us to perform the
numerical simulations on the lattice. In fact, we present some numerical
evidences for supporting the dual superconductivity for quark confinement. The
numerical simulations include the derivation of the linear potential for static
interquark potential, i.e., non-vanishing string tension, in which the
"Abelian" dominance and magnetic monopole dominance are established,
confirmation of the dual Meissner effect by measuring the chromoelectric flux
tube between quark-antiquark pair, the induced magnetic-monopole current, and
the type of dual superconductivity, etc. In addition, we give a direct
connection between the topological configuration of the Yang-Mills field such
as instantons/merons and the magnetic monopole.Comment: 304 pages; 62 figures and 13 tables; a version published in Physics
Reports, including corrections of errors in v
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