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In SU(3) lattice QCD formalism, we propose a method to extract gauge fields from link-variables analytically. With this method, we perform the first study on effective mass generation of off-diagonal gluons and infrared Abelian dominance in…

High Energy Physics - Lattice · Physics 2013-05-30 Shinya Gongyo , Takumi Iritani , Hideo Suganuma

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…

High Energy Physics - Lattice · Physics 2024-05-24 Tsuneo Suzuki

We show that the monopole confinement mechanism in lattice gluodynamics is a particular feature of the maximal abelian projection. We give an explicit example of the $SU(2) \rightarrow U(1)$ projection (the minimal abelian projection), in…

High Energy Physics - Lattice · Physics 2010-11-01 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

We have proposed the non-Abelian dual superconductivity in SU(3) Yang-Mills theory for the mechanism of quark confinement,and we presented the numerical evidences in preceding lattice conferences by using the proposed gauge link…

High Energy Physics - Lattice · Physics 2015-01-27 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

This thesis is devoted to studying strong coupling phenomena (and confinement in particular) in supersymmetric gauge theories. The central object of investigation is the non-Abelian string that is responsible for the…

High Energy Physics - Theory · Physics 2020-12-01 E. Ievlev

A single magnetic monopole in pure SU(2) gauge theory is simulated on the lattice and its mass is computed in the full quantum theory. The results are relevant for our proposed realization of the dual superconductor hypothesis of…

High Energy Physics - Lattice · Physics 2009-10-22 J. Smit , A. J. van der Sijs

The role of monopoles in the deconfinement transition is discussed in the framework of abelian projection in the maximally abelian gauge in $T\neq0$ $SU(2)$ QCD. Only one (or a few near $\beta_c$) long connected monopole loop exists…

High Energy Physics - Lattice · Physics 2017-02-01 Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

We discuss the effect of the choice of an Abelian projection on the dual superconductor mechanism of confinement in SU(2) gluodynamics. Using qualitative arguments we show that the dual superconductor Lagrangian corresponding to the Abelian…

High Energy Physics - Lattice · Physics 2009-11-10 M. N. Chernodub

Much about the confinement and dynamical symmetry breaking in QCD might be learned from models with supersymmetry. In particular, models based on N=2 supersymmetric theories with gauge groups SU(N), SO(N) and $USp(2 N)$ and with various…

High Energy Physics - Theory · Physics 2007-05-23 Kenichi Konishi

We present a gauge independent method to construct the effective action of QCD, and calculate the one loop effective action of $SU(2)$ QCD in an arbitrary constant background field. Our result establishes the existence of a dynamical…

High Energy Physics - Theory · Physics 2007-05-23 Y. M. Cho , D. G. Pak

We study the correlation between instantons and QCD-monopoles both in the lattice gauge theory and in the multi-instanton system using the maximally abelian gauge. First, we find the existence of an almost linear correlation between the…

High Energy Physics - Lattice · Physics 2007-05-23 Shoichi Sasaki , Masahiro Fukushima , Atsunori Tanaka , Hideo Suganuma , Hiroshi Toki , Osamu Miyamura , Dmitri Diakonov

We present the results of the numerical calculation of the probability distribution of the value of the monopole creation operator in $SU(2)$ lattice gluodynamics. We work in the maximal abelian projection. It occurs that at the low…

High Energy Physics - Lattice · Physics 2009-10-28 M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

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…

High Energy Physics - Lattice · Physics 2022-02-16 Tsuneo Suzuki , Atsuki Hiraguchi , Katsuya Ishiguro

We have proposed the non-Abelian dual superconductivity picture for quark confinement in the SU(3) Yang-Mills (YM) theory, and have given numerical evidences for the restricted-field dominance and the non-Abelian magnetic monopole dominance…

High Energy Physics - Lattice · Physics 2013-02-28 Akihiro Shibata , Kei-Ichi Kondo , Seikou Kato , Toru Shinohara

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…

High Energy Physics - Theory · Physics 2018-04-23 Kenichi Konishi

Monopole and photon contributions to Wilson loops are calculated using Monte-Carlo simulations of SU(2) QCD in the maximally abelian gauge. The string tensions of SU(2) QCD are well reproduced by extended monopole contributions alone.

High Energy Physics - Lattice · Physics 2008-02-03 Hiroshi Shiba , Tsuneo Suzuki

Representations of the Abelian-projected SU(2)- and SU(3)-gluodynamics in terms of the magnetic monopole currents are derived. Besides the quadratic part, the obtained effective actions contain interactions of these currents with the…

High Energy Physics - Theory · Physics 2010-05-27 Dmitri Antonov , Dietmar Ebert

We investigate the relevant gluon-momentum region for confinement in lattice QCD on $16^4$ at $\beta$=5.7, 5.8 and 6.0, based on the Fourier expansion. We find that the string tension $\sigma$, i.e., the confining force, is almost unchanged…

High Energy Physics - Lattice · Physics 2012-04-05 Hideo Suganuma , Shinya Gongyo , Takumi Iritani , Arata Yamamoto

We give an argument for deriving analytically the infrared ``Abelian'' dominance in a gauge invariant way for the Wilson loop average in SU(2) Yang--Mills theory. In other words, we propose a possible mechanism for realizing the dynamical…

High Energy Physics - Theory · Physics 2008-11-26 Kei-Ichi Kondo

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…

High Energy Physics - Theory · Physics 2007-05-23 Gerard 't Hooft
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