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A new scheme for color confinement in QCD due to violation of the non-Abelian Bianchi identities is discussed. The violation of the non-Abelian Bianchi identities (VNABI) $J_{\mu}$ is equal to Abelian-like monopole currents $k_{\mu}$…

高能物理 - 格点 · 物理学 2014-10-29 Tsuneo Suzuki

A new scheme for color confinement in QCD due to violation of the non-Abelian Bianchi identities proposed earlier is revised. The violation of the non-Abelian Bianchi identities (VNABI) $J_{\mu}$ is equal to Abelian-like monopole currents…

高能物理 - 格点 · 物理学 2018-05-14 Tsuneo Suzuki , Katsuya Ishiguro , Vitaly Bornyakov

As a color confinement mechanism, a dual Meissner effect due to Abelian monopoles involved in QCD has been discussed so far in various ways. But still there is an important problem unsolved. It is gauge invariance of the schemes or, in…

高能物理 - 格点 · 物理学 2022-04-29 Tsuneo Suzuki

If non-Abelian gauge fields in $SU(3)$ QCD have a line-singularity leading to non-commutativity with respect to successive partial-derivative operations, the non-Abelian Bianchi identity is violated. The violation as an operator is shown to…

高能物理 - 格点 · 物理学 2022-08-17 Katsuya Ishiguro , Atsuki Hiraguchi , Tsuneo Suzuki

Non-Abelian gauge fields having a line-singularity of the Dirac type lead us to violation of the non-Abelian Bianchi identity. The violation as an operator is equivalent to violation of Abelian-like Bianchi identities corresponding to eight…

高能物理 - 格点 · 物理学 2023-05-17 Tsuneo Suzuki

Violation of non-Abelian Bianchi identity can be regarded as $N^2-1$ Abelian-like monopole currents in the continuum SU(N) QCD. Three Abelian-like monopoles, when defined in SU(2) gluodynamics on the lattice \`{a} la DeGrand-Toussaint, are…

高能物理 - 格点 · 物理学 2021-01-04 Atsuki Hiraguchi , Katsuya Ishiguro , Tsuneo Suzuki

The violation of non-Abelian Bianchi identity is equal to 8 Abelian monopole currents of the Dirac type satisfying Abelian conservation rules kinematically. There exist magnetic $U(1)_m^8$ symmetries in non-Abelian $SU(3)$ QCD. When the…

高能物理 - 格点 · 物理学 2024-05-24 Tsuneo Suzuki

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

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 Abelian-like field strength is defined in terms of a unit-vector in color space…

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

We study the topological feature in the QCD vacuum based on the hypothesis of abelian dominance. The topological charge $Q_{\rm SU(2)}$ can be explicitly represented in terms of the monopole current in the abelian dominated system. To…

高能物理 - 格点 · 物理学 2009-10-31 Shoichi Sasaki , Osamu Miyamura

Deep insights into the possible infrared dynamics of strongly-coupled nonAbelian gauge theories such as QCD come from the analyses of ${\cal N}=1$ or ${\cal N}=2$ supersymmetric gauge theories. Central in the whole discussion will be the…

高能物理 - 理论 · 物理学 2018-04-23 Kenichi Konishi

The mechanism of non-Abelian color confinement is studied in SU(2) lattice gauge theory in terms of the Abelian fields and monopoles extracted from non-Abelian link variables without adopting gauge fixing. Firstly, the static…

高能物理 - 格点 · 物理学 2014-11-20 T. Suzuki , M. Hasegawa , K. Ishiguro , Y. Koma , T. Sekido

We show that the hypothesis of abelian dominance allows QCD-monopoles to preserve the topological feature of the QCD vacuum within SU(2) lattice gauge theory. An analytical study is made to find the relationship between the topological…

高能物理 - 格点 · 物理学 2009-10-31 Shoichi Sasaki , Osamu Miyamura

Absolute confinement of its color charges is a natural property of gauge theories such as quantum chromodynamics. On the one hand, it can be attributed to the existence of color-magnetic monopoles, a topological feature of the theory, but…

高能物理 - 理论 · 物理学 2007-05-23 Gerard 't Hooft

We report on new analyses of the topological and chiral vacuum structure of four-dimensional QCD on the lattice. Correlation functions as well as visualization of monopole currents in the maximally Abelian gauge emphasize their topological…

高能物理 - 格点 · 物理学 2008-11-26 E. -M. Ilgenfritz , H. Markum , M. Müller--Preussker , W. Sakuler , S. Thurner

A direct connection is proved between the Non-Abelian Bianchi Identities(NABI), and the abelian Bianchi identities for the 't Hooft tensor. As a consequence the existence of a non-zero magnetic current is related to the violation of the…

高能物理 - 格点 · 物理学 2010-04-22 Claudio Bonati , Adriano Di Giacomo , Luca Lepori , Fabrizio Pucci

We study theoretical bases of the dual Higgs theory for confinement physics in QCD in terms of monopoles and the gluon configuration in the maximally abelian (MA) gauge. Abelian dominance for the confinement force can be analytically proved…

高能物理 - 格点 · 物理学 2007-05-23 Hiroko Ichie , Hideo Suganuma

The nonperturbative phenomena of QCD like color confinement is well described through the dual superconductor picture in the Maximally Abelian (MA) gauge. In this gauge, monopoles appear as important degrees of freedom composed by…

高能物理 - 格点 · 物理学 2007-05-23 Hiroko Ichie , Hideo Suganuma

A non-zero CP-violating $\theta$ parameter is treated in the domain model which assumes a cluster-like vacuum structure whose units are characterised in particular by a topological charge which is not necessarily an integer number. In the…

高能物理 - 唯象学 · 物理学 2014-11-18 Alex C. Kalloniatis , Sergei N. Nedelko

The number and the location of the monopoles observed on the lattice in QCD configurations happens to depend strongly on the choice of the gauge used to expose them, in contrast to the physical expectation that monopoles be gauge invariant…

高能物理 - 格点 · 物理学 2011-06-15 C. Bonati , M. D'Elia , A. Di Giacomo
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