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In the past few years, we have presented a new way of considering quark confinement. Through a careful choice of a Cho-Duan-Ge Abelian Decomposition, we can construct the QCD Wilson Loop in terms of an Abelian restricted field. The…

High Energy Physics - Lattice · Physics 2014-11-05 Nigel Cundy , Yongmin Cho , Weonjong Lee

We investigate the relationship between colour confinement and the gauge independent Cho-Duan-Ge Abelian decomposition. The decomposition is defined in terms of a colour field $n$; the principle novelty of our study is that we have defined…

High Energy Physics - Lattice · Physics 2015-06-24 Nigel Cundy , Y. M. Cho , Weonjong Lee

A scenario to understand the asymptotic properties of confinement between quark probes, based on a 4D mixed ensemble of percolating center-vortex worldsurfaces and chains, was initially proposed by one of us in a non-Abelian setting. More…

High Energy Physics - Theory · Physics 2025-08-05 D. R. Junior , L. E. Oxman

We investigate the relationship between colour confinement and topological structures derived from the gauge invariant Abelian (Cho-Duan-Ge) decomposition. This Abelian decomposition is made imposing an isometry on a colour field $n$ which…

High Energy Physics - Lattice · Physics 2014-01-21 Nigel Cundy , Y. M. Cho , Weonjong Lee , Jaehoon Leem

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…

High Energy Physics - Lattice · Physics 2012-11-06 Nigel Cundy , Weonjong Lee , Jaehoon Leem , Y. M. Cho

Color confinement is a fundamental phenomenon in quantum chromodynamics. In this work, the mechanisms underlying color confinement are investigated in detail, with a particular focus on the role of non-perturbative phenomena such as center…

High Energy Physics - Lattice · Physics 2024-12-17 Zeinab Dehghan , Manfried Faber

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

Recent progress achieved in the solution of the problem of confinement in various (non-)Abelian gauge theories by virtue of a derivation of their string representation is reviewed. The theories under study include QCD within the so-called…

High Energy Physics - Theory · Physics 2015-06-26 Dmitri Antonov

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 study the deconfinement phase transition and monopole properties in the finite temperature 3D compact Abelian gauge model on the lattice. We predict the critical coupling as function of the lattice size in a simplified model to describe…

High Energy Physics - Lattice · Physics 2009-11-07 M. N. Chernodub , E. -M. Ilgenfritz , A. Schiller

In this talk, first, we show that the color $N$-dependent area law falloffs of the double-winding Wilson loop averages for the $SU(N)$ lattice gauge model are reproduced from the $Z_N$ lattice Abelian gauge model due to the center group…

High Energy Physics - Lattice · Physics 2021-12-10 Ryu Ikeda , Kei-Ichi Kondo

According to the present understanding, the observed diversity of the strong interaction phenomena is described by Quantum Chromodynamics, a gauge field theory with only very few parameters. One of the fundamental questions in this context…

High Energy Physics - Phenomenology · Physics 2009-11-07 Martin Lüscher

The effective string describing the large distance behaviour of the quark sources of gauge field theories in the confining phase in D=3 or D=4 space-time dimensions can be formulated, in the infrared limit, as a suitable 2D conformal field…

High Energy Physics - Lattice · Physics 2009-10-22 M. Caselle , F. Gliozzi , S. Vinti

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

Motivated by recent literature on the possible existence of a second higher-temperature phase transition in Quantum Chromodynamics, we revisit the proposal that colour confinement is related to the dynamics of magnetic monopoles using…

High Energy Physics - Lattice · Physics 2025-02-03 Xavier Crean , Jeffrey Giansiracusa , Biagio Lucini

Confinement is an ubiquitous phenomenon when matter couples to gauge fields, which manifests itself in a linear string potential between two static charges. Although gauge fields can be integrated out in one dimension, they can mediate…

In this paper, we develop models applicable to phenomenological particle physics by using the string analogy of particles. These theories can be used to investigate the phenomenology of confinement, deconfinement, chiral condensate, QGP…

High Energy Physics - Phenomenology · Physics 2023-02-02 Adamu Issifu , Francisco A. Brito

We extend the approach of Banks, Myerson, and Kogut for the calculation of the Wilson loop in lattice U(1) to the non-abelian SU(2) group. The original degrees of freedom of the theory are integrated out, new degrees of freedom are…

High Energy Physics - Lattice · Physics 2011-09-13 Dieter Gromes

The status of our understanding of confinement is reviewed. The evidence from lattice is that monopole condensation, or dual superconductivity, is at work. Confinement is an order-disorder transition. Different monopole species look…

High Energy Physics - Lattice · Physics 2007-05-23 A. Di Giacomo , B. Lucini

In an informal way some kind of Ising Lattice QCD is introduced which allows to interprete and discuss the well-known theory of quantum chromodynamics (confinement, quarks and gluons, etc.) from simple phenomena of magnetism and polymer…

Disordered Systems and Neural Networks · Physics 2010-02-11 U. Krey
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