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All colored particles including dynamical quarks and gluons are confined if the color confinement criterion proposed by Kugo and Ojima is satisfied. The criterion was obtained under the gauge fixing of the Lorenz type. However, it was…

高能物理 - 理论 · 物理学 2022-05-25 Kei-Ichi Kondo , Naoki Fukushima

We examine in non-Abelian gauge theory the heavy quark limit in the presence of the (anti-)self-dual homogeneous background field and see that a confining potential emerges, consistent with the Wilson criterion, although the potential is…

高能物理 - 理论 · 物理学 2009-10-31 G. V. Efimov , A. C. Kalloniatis , S. N. Nedelko

Certain properties of maximal abelian projection are derived which suggest that the fundamental and adjoint SU(2) string tensions are reproduced by singly and doubly charged abelian Wilson loops, respectively. Thus, abelian dominance, which…

高能物理 - 格点 · 物理学 2014-11-17 Grigorios I. Poulis

We present results of $SU(3)$ Monte-Carlo studies of a new color confinement scheme due to Abelian-like monopoles of the Dirac type without any gauge-fixing. We get (1) perfect Abelian dominance with respect to the static potentials on…

高能物理 - 格点 · 物理学 2021-12-07 Tsuneo Suzuki , Atsuki Hiraguchi , Katsuya Ishiguro

We show the construction of the dual superconducting theory for the confinement mechanism from QCD in the maximally abelian (MA) gauge using the lattice QCD Monte Carlo simulation. We find that essence of infrared abelian dominance is…

高能物理 - 格点 · 物理学 2016-05-23 H. Suganuma , K. Amemiya , A. Tanaka , H. Ichie

We give an outline of a recent proof that the low-energy effective gauge theory exhibiting quark confinement due to magnetic monopole condensation can be derived from QCD without any specific assumption. We emphasize that the low-energy…

高能物理 - 理论 · 物理学 2008-11-26 Kei-Ichi Kondo

We study decomposition of $SU(2)$ gauge field into monopole and monopoleless components. After fixing the Maximal Abelian gauge in $SU(2)$ lattice gauge theory we decompose the nonabelian gauge field into the Abelian field created by…

高能物理 - 格点 · 物理学 2022-04-13 V. G. Bornyakov , I. Kudrov , R. N. Rogalyov

We show that the hypothesis of abelian dominance in maximal abelian gauge, which is known to work for Wilson loops in the fundamental representation, fails for Wilson loops in higher group representations. Monte Carlo simulations are…

高能物理 - 格点 · 物理学 2008-11-26 L. Del Debbio , M. Faber , J. Greensite , S. Olejnik

We propose a nonlocal definition of a gauge-invariant object in terms of the Wilson loop operator in a non--Abelian gauge theory. The trajectory is a closed curve defined by an (untraced) Wilson loop which takes its value in the center of…

高能物理 - 格点 · 物理学 2011-07-19 M. N. Chernodub

First, we give a gauge-independent definition of chromomagnetic monopoles in $SU(N)$ Yang-Mills theory which is derived through a non-Abelian Stokes theorem for the Wilson loop operator. Then we discuss how such magnetic monopoles can give…

高能物理 - 理论 · 物理学 2015-08-11 Kei-Ichi Kondo , Takaaki Sasago , Toru Shinohara , Akihiro Shibata , Seikou Kato

We use a renormalisation group based smoothing to address two questions related to Abelian dominance. Smoothing enables us to extract the Abelian heavy-quark potential from time-like Wilson loops on Polyakov gauge projected configurations.…

高能物理 - 格点 · 物理学 2009-10-30 Tamas G. Kovacs , Zsolt Schram

Under the assumption that the color charge can be written in a BRST exact form, the color confinement mechanism proposed by Kugo and Ojima (KO) explains the confinement of any colored particles including dynamical quarks and gluons. This…

高能物理 - 唯象学 · 物理学 2009-10-22 H. Hata , I. Niigata

We study the static three-quark (3Q) potential for more than 300 different patterns of 3Q systems with high statistics, i.e., 1000-2000 gauge configurations, in SU(3) lattice QCD at the quenched level. For all the distances, the 3Q…

高能物理 - 格点 · 物理学 2016-07-21 Hideo Suganuma , Naoyuki Sakumichi

We present results of $SU(3)$ Monte-Carlo studies of a new color confinement scheme proposed recently due to Abelian-like monopoles of the Dirac type corresponding in the continuum limit to violation of the non-Abelian Bianchi identities…

高能物理 - 格点 · 物理学 2022-02-16 Tsuneo Suzuki , Atsuki Hiraguchi , Katsuya Ishiguro

Recently, we have developed a reformulation of the lattice Yang-Mills theory based on the change of variables a la Cho-Faddeev-Niemi combined with a non-Abelian Stokes theorem. In this talk, we give a new procedure (called reduction) for…

高能物理 - 格点 · 物理学 2010-11-05 S. Kato , K. -I. Kondo , A. Shibata , T. Shinohara , S. Ito

We study an Abelian compact gauge theory minimally coupled to bosonic matter with charge q, which may undergo a confinement--deconfinement transition in (2+1)D. The transition is analyzed using a nonlocal order parameter $\tilde W$, which…

强关联电子 · 物理学 2007-05-23 Anders Vestergren , Jack Lidmar

The dual Meissner effect is described and numerically observed in a gauge-invariant way in lattice Monte-Carlo simulations of pure SU(2) QCD. A gauge-invariant monopole-like quantity on the lattice is defined by a gauge-invariant…

高能物理 - 格点 · 物理学 2007-05-23 Tsuneo Suzuki , Katsuya Ishiguro , Yoshifumi Nakamura , Toru Sekido

I propose to reformulate the gauge field theory as the perturbative deformation of a novel topological quantum field theory. It is shown that this reformulation leads to quark confinement in QCD$_4$. Similarly, the fractional charge…

高能物理 - 理论 · 物理学 2007-05-23 Kei-Ichi Kondo

There is still confusion about the correct form of the area law for the baryonic Wilson loop (BWL) of QCD. Strong-coupling (i.e., finite lattice spacing in lattice gauge theory) approximations suggest the form $\exp [-KA_Y]$, where $K$ is…

高能物理 - 理论 · 物理学 2009-10-30 John M. Cornwall

We formulate a stochastic gauge fixing method to study the gauge dependence of Abelian projection. In this method, one can change the gauge from the maximally Abelian one to no gauge fixing continuously. We have found that the linear part…

高能物理 - 格点 · 物理学 2009-10-31 F. Shoji