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We study the confinement physics in QCD in the maximally abelian (MA) gauge using the SU(2) lattice QCD, based on the dual-superconductor picture. In the MA gauge, off-diagonal gluon components are forced to be small, and the off-diagonal…

高能物理 - 格点 · 物理学 2009-09-25 Hideo Suganuma , Hiroko Ichie , Kazuhisa Amemiya , Atsunori Tanaka

We show that the extended Abelian magnetic monopoles in the Maximal Abelian projection of lattice SU(2) gluodynamics are locally correlated with the magnetic and the electric parts of the SU(2) action density. These correlations are…

高能物理 - 格点 · 物理学 2009-10-31 B. L. G. Bakker , M. N. Chernodub , M. I. Polikarpov , A. I. Veselov

We study the relation between instantons and monopoles in the abelian gauge. First, we investigate the monopole in the multi-instanton solution in the continuum Yang-Mills theory using the Polyakov gauge. At a large instanton density, the…

高能物理 - 格点 · 物理学 2009-10-28 H. Suganuma , S. Sasaki , H. Ichie , F. Araki , O. Miyamura

Given any compact connected matrix Lie group $G$ and any lattice dimension $d\ge 2$, we construct a massive Gaussian scaling limit for the $G$-valued lattice Yang-Mills-Higgs theory in the "complete breakdown of symmetry" regime. This limit…

概率论 · 数学 2026-03-26 Frederick Rajasekaran , Oren Yakir , Yanxin Zhou

For a pure SU(N) gauge theory on the lattice we test if the expectation values of small Wilson loops become volume independent in the large N limit.

高能物理 - 格点 · 物理学 2015-01-20 Antonio Gonzalez-Arroyo , Masanori Okawa

Maximal Abelian gauge fixing and subsequent Abelian projection of SU(2) lattice gauge theory defines closed trajectories of magnetic monopoles. These trajectories can be interpreted in terms of an effective scalar field theory of the MAG…

高能物理 - 格点 · 物理学 2016-09-01 Kurt Langfeld , Hugo Reinhardt

To check the dual superconductor picture for the quark-confinement mechanism, we evaluate monopole dominance as well as Abelian dominance of quark confinement for both quark-antiquark and three-quark systems in SU(3) quenched lattice QCD in…

高能物理 - 格点 · 物理学 2019-06-11 Hideo Suganuma , Naoyuki Sakumichi

We study the structure of the isolated static monopoles in the maximal Abelian projection of SU(2) lattice gluodynamics. Our estimation of the monopole radius is $ \approx 0.06 fm$.

高能物理 - 格点 · 物理学 2009-11-07 V. A. Belavin , M. I. Polikarpov , A. I. Veselov

We observe the power law scaling behavior of the monopole mass and condensate in the pure compact U(1) gauge theory with the Villain action. In the Coulomb phase the monopole mass scales with the exponent \nu_m=0.49(4). In the confinement…

高能物理 - 格点 · 物理学 2009-10-31 J. Jersak , T. Neuhaus , H. Pfeiffer

We describe the results of a systematic high-statistics Monte-Carlo study of finite-size effects at the phase transition of compact U(1) lattice gauge theory with Wilson action on a hypercubic lattice with periodic boundary conditions. We…

高能物理 - 格点 · 物理学 2011-07-19 Burkhard Klaus , Claude Roiesnel

There exist several types of monopole - like topological defects in Electroweak theory. We investigate properties of these objects using lattice numerical methods. The intimate connection between them and the dynamics of the theory is…

高能物理 - 格点 · 物理学 2015-07-28 B. L. G. Bakker , A. I. Veselov , M. A. Zubkov

Low energy dynamics of magnetic monopoles and anti-monopoles in the U(2) gauge theory is studied in the Higgs (non-Abelian superconducting) phase. The monopoles in this superconducting phase are not spherical but are of slender ellipsoid…

高能物理 - 理论 · 物理学 2015-06-22 Masato Arai , Filip Blaschke , Minoru Eto , Norisuke Sakai

We compute instanton sizes and study correlation functions between instantons and monopoles in maximum abelian projection within SU(2) lattice QCD at finite temperature. We compare several definitions of the topological charge, different…

高能物理 - 格点 · 物理学 2009-10-30 M. Feurstein , H. Markum , S. Thurner

We investigate the relationship between colour confinement and the monopoles derived from the Cho-Duan-Ge decomposition. These monopoles, unlike Dirac and 't Hooft monopoles, do not require a singular gauge field and are defined for any…

高能物理 - 格点 · 物理学 2012-11-06 Nigel Cundy , Weonjong Lee , Jaehoon Leem , Y. M. Cho

We study the three dimensional fundamental-adjoint $SU(2)$ lattice gauge theory at non-zero temperatures by Monte Carlo simulations. On an $8^3 \times 2$ lattice, at $\beta_A = 1.1$, where $\beta_A$ is the adjoint coupling, we find no…

高能物理 - 格点 · 物理学 2009-10-22 Manu Mathur , Rajiv V. Gavai

We study a 3d lattice gauge theory with gauge group $\mathrm{U}(1)^{N-1}\rtimes \mathrm{S}_N$, which is obtained by gauging the $\mathrm{S}_N$ global symmetry of a pure $\mathrm{U}(1)^{N-1}$ gauge theory, and we call it the semi-Abelian…

高能物理 - 理论 · 物理学 2021-04-06 Mendel Nguyen , Yuya Tanizaki , Mithat Ünsal

A non-perturbative mass of $0.2719 g^2 T$ is generated for the magnetic sector of the $SU(2)$ gauge theory at high temperature due to the condensation of Polyakov \cite{Pol} monopole and antimonopole which form a magnetic glue ball. String…

高能物理 - 格点 · 物理学 2009-10-28 Satchidananda Naik

We point out that the abelian projection theory of quark confinement is in conflict with certain large-N predictions. According to both large-N and lattice strong-coupling arguments, the perimeter law behavior of adjoint Wilson loops at…

高能物理 - 格点 · 物理学 2008-11-26 L. DelDebbio , M. Faber , J. Greensite

We investigate Abelian monopoles and Abelian vortices condensation in finite temperature SU(2) and SU(3) pure lattice gauge theories.

高能物理 - 格点 · 物理学 2009-10-31 P. Cea , L. Cosmai

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…