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All colored particles including dynamical quarks and gluons are confined if the color confinement criterion proposed by Kugo and Ojima is satisfied. The criterion was obtained under the gauge fixing of the Lorenz type. However, it was…

高能物理 - 理论 · 物理学 2022-05-25 Kei-Ichi Kondo , Naoki Fukushima

In this talk we want to discuss the color confinement criterion which guarantees confinement of all colored particles including dynamical quarks and gluons. The most well-known criterion is the Kugo-Ojima color confinement criterion derived…

高能物理 - 理论 · 物理学 2021-12-14 Kei-Ichi Kondo , Naoki Fukushima

The mechanism of color confinement as a consequence of an unbroken non-abelian gauge symmetry and asymptotic freedom is elucidated and compared with that of other models based on an analogy with the type II superconductor. It is…

高能物理 - 理论 · 物理学 2011-09-13 M. Chaichian , K. Nishijima

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 propose a unified description of two important phenomena: color confinement in large-$N$ gauge theory, and Bose-Einstein condensation (BEC). We focus on the confinement/deconfinement transition characterized by the increase of the…

高能物理 - 理论 · 物理学 2021-09-01 Masanori Hanada , Hidehiko Shimada , Nico Wintergerst

First, we present a simple confining abelian pure gauge theory. Classically, its kinetic term is not positive definite, and it contains a simple UV regularized F^4 interaction. This provoques the formation of a condensate ~ F^2 such that,…

高能物理 - 理论 · 物理学 2011-09-13 U. Ellwanger , N. Wschebor

Abelian mechanism of non-Abelian color confinement is observed in a gauge-independent way by high precision lattice Monte Carlo simulations in gluodynamics. An Abelian gauge field is extracted with no gauge-fixing. A static quark-antiquark…

高能物理 - 格点 · 物理学 2008-11-26 Tsuneo Suzuki , Katsuya Ishiguro , Yoshiaki Koma , Toru Sekido

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

Color confinement by the mechanism of Kugo and Ojima can treat confinement of any quantized color carrying fields including dynamical quarks. However, the non-perturbative condition for this confinement has been known to be satisfied only…

高能物理 - 理论 · 物理学 2016-09-06 Hiroyuki Hata , Yusuke Taniguchi

It has been known for a while that there is spontaneous breaking of Lorentz symmetry in the nonzero charged sectors of quantum electrodynamics due to the infrared problem of soft photons. More recently, it has also been suggested that…

高能物理 - 理论 · 物理学 2018-09-19 A. P. Balachandran , V. P. Nair

For Abelian gauge theory a properly relativistic gauge is developed by supplementing the Lorentz condition with causal determination of the time component of the four-vector potential by retarded Coulomb transformation of the charge…

综合物理 · 物理学 2010-11-19 Steven Kenneth Kauffmann

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…

高能物理 - 格点 · 物理学 2014-01-21 Nigel Cundy , Y. M. Cho , Weonjong Lee , Jaehoon Leem

As of today, color confinement in Quantum Chromodynamics remains a mystery from the theoretical point of view. So far, no analytical proof of color confinement has been found and the mechanism that confines colored states from the space of…

高能物理 - 格点 · 物理学 2023-10-16 Nuno Miguel Rebelo Brito

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…

高能物理 - 格点 · 物理学 2015-06-24 Nigel Cundy , Y. M. Cho , Weonjong Lee

We study vacuum dynamics of SU(3) lattice gauge theory at finite temperature using the lattice Schr\"odinger functional. The SU(3) vacuum is probed by means of an external constant Abelian chromomagnetic field. We find that by increasing…

高能物理 - 格点 · 物理学 2009-11-07 Paolo Cea , Leonardo Cosmai

Gauge problem of monopole dynamics is studied in SU(2) lattice gauge theory. We study first abelian and monopole contributions to the static potential in four smooth gauges, i.e., Laplacian Abelian (LA), Maximally Abelian Wilson Loop (MAWL)…

高能物理 - 格点 · 物理学 2009-11-07 Shoichi Ito , Shun-ichi Kitahara , Tae Woong Park , Tsuneo Suzuki

Color confinement is a consequence of an unbroken non-Abelian gauge symmetry and the resulting asymptotic freedom inherent in quantum chromodynamics. A qualitative sketch of its proof is presented.

高能物理 - 理论 · 物理学 2007-05-23 Masud Chaichian , Kazuhiko Nishijima

In Gribov's scenario in Coulomb gauge, confinement of color charge is due to a long-range instantaneous color-Coulomb potential V(R). This may be determined numerically from the instantaneous part of the gluon propagator D_{44, inst} = V(R)…

高能物理 - 格点 · 物理学 2015-06-25 Attilio Cucchieri , Daniel Zwanziger

The dual superconductivity is believed to be a promising mechanism for quark confinement. Indeed, what this picture is true has been confirmed in the maximal Abelian (MA) gauge. However, it is not yet confirmed in any other gauge and the MA…

高能物理 - 格点 · 物理学 2008-11-26 A. Shibata , S. Ito , S. Kato , K. -I. Kondo , T. Murakami , T. Shinohara

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…

高能物理 - 格点 · 物理学 2013-11-14 Nigel Cundy , Yongmin Cho , Weonjong Lee
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