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Based on the gauge independent decomposition of the non-Abelian gauge field into the dual potential and the valence potential, we calculate the one loop effective action of SU(2) QCD in an arbitrary constant monopole background, using the…

High Energy Physics - Theory · Physics 2007-05-23 Y. M. Cho

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…

High Energy Physics - Lattice · Physics 2022-08-17 Katsuya Ishiguro , Atsuki Hiraguchi , Tsuneo Suzuki

We investigated a behavior of monopole currents in the high temperature phase of abelian projected finite temperature SU(2) QCD in maximally abelian gauge. Wrapped monopole currents which are closed by periodic boundary play an important…

High Energy Physics - Lattice · Physics 2009-10-28 Shinji Ejiri

The role of monopoles in the confining behavior of compact lattice $QED_3$ is studied using an adiabatic cooling method. Monopole-antimonopole pairs with large separation suvive cooling and the presence or absence of such plasma monopoles…

High Energy Physics - Lattice · Physics 2009-10-22 Howard D. Trottier , R. M. Woloshyn

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 dual Meissner effect is described and numerically observed in a gauge-invariant way in lattice Monte-Carlo simulations in pure SU(2) QCD. The squeezing of the non-Abelian electric field between a pair of static quark and anti-quark…

High Energy Physics - Lattice · Physics 2007-05-23 Toru Sekido , Katsuya Ishiguro , Yoshifumi Nakamura , Tsuneo Suzuki

Monopole dominance for the nonperturbative features in QCD is studied both in the continuum and the lattice gauge theories. First, we study the dynamical chiral-symmetry breaking (D$\chi $SB) in the dual Higgs theory using the effective…

High Energy Physics - Phenomenology · Physics 2019-08-15 Hideo Suganuma , Sei Umisedo , Shoich Sasaki , Hiroshi Toki , Osamu Miyamura

Here we study two important properties of $2+1$ dimensional QCD -- confinement and pseudoscalar glueball spectrum -- with holographic approach. We consider the low energy decoupled geometry of the isotropic non-susy D$2$ brane. We find the…

High Energy Physics - Theory · Physics 2021-03-10 Adrita Chakraborty , Kuntal Nayek

A common approach while considering confinement is to study the dominance of an Abelian subgroup of the SU(3) gauge Links. A good way to find the Abelian component of the field is through the Cho-Guan-De gauge invariant Abelian…

High Energy Physics - Lattice · Physics 2013-11-14 Nigel Cundy , Yongmin Cho , Weonjong Lee

Effective monopole actions for various extended monopoles are derived from vacuum configurations after abelian projection in the maximally abelian gauge in $T=0$ and $T\ne 0$ $SU(3)$ lattice QCD. The actions obtained appear to be…

High Energy Physics - Lattice · Physics 2016-09-01 Natsuko Arasaki , Shinji Ejiri , Shun-ichi Kitahara , Yoshimi Matsubara , Tsuneo Suzuki

The magnetic monopole in euclidean pure SU(2) gauge theory is investigated using a background field method on the lattice. With Monte Carlo methods we study the mass of the monopole in the full quantum theory. The monopole background under…

High Energy Physics - Lattice · Physics 2009-10-22 J. Smit , A. J. Van Der Sijs

We describe the current search for confinement mechanisms in lattice QCD. We report on a recent derivation of a lattice Ehrenfest-Maxwell relation for the Abelian projection of SU(2) lattice gauge theory. This gives a precise lattice…

High Energy Physics - Lattice · Physics 2015-06-25 Richard W. Haymaker

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

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

We demonstrate that the disorder parameter $<\mu>$ to detect dual superconductivity in the confining phase of QCD is the v.e.v. of a magnetically charged, Dirac like, gauge invariant operator $\mu$. We also show that the abelian projection…

High Energy Physics - Lattice · Physics 2007-05-23 A. Di Giacomo , G. Paffuti

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

Recent studies of confinement based on the idea of abelian monopole condensation are reviewed briefly. Emphasis is placed on the approach to get the effective monoole action using the blockspin transformation on the dual lattice. The…

High Energy Physics - Lattice · Physics 2007-05-23 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…

High Energy Physics - Lattice · Physics 2021-01-04 Atsuki Hiraguchi , Katsuya Ishiguro , Tsuneo Suzuki

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…

High Energy Physics - Lattice · Physics 2014-11-20 T. Suzuki , M. Hasegawa , K. Ishiguro , Y. Koma , T. Sekido

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

It has been shown that the mechanism of formation of glue-bags in the strong coupling limit of Yang-Mills theory can be understood in terms of the dynamics of a higher-rank abelian gauge field, namely, the 3-form dual to the Chern-Simons…

High Energy Physics - Theory · Physics 2015-04-23 Antonio Aurilia , Patricio Gaete , Euro Spallucci