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Quark confinement: dual superconductor picture based on a non-Abelian Stokes theorem and reformulations of Yang-Mills theory

- K. Kondo, S. Kato, A. Shibata, T. Shinohara
- Physics
- 4 September 2014

The purpose of this paper is to review the recent progress in understanding quark confinement. The emphasis of this review is placed on how to obtain a manifestly gauge-independent picture for quark… Expand

Compact lattice formulation of Cho–Faddeev–Niemi decomposition: String tension from magnetic monopoles

- S. Ito, S. Kato, K. Kondo, T. Murakami, A. Shinohara
- Physics
- 20 April 2006

Abstract In this Letter we begin on a new lattice formulation of the non-linear change of variables called the Cho–Faddeev–Niemi decomposition in SU ( 2 ) Yang–Mills theory. This is a compact lattice… Expand

Lattice construction of Cho-Faddeev-Niemi decomposition and gauge invariant monopole

- S. Kato, K. Kondo, T. Murakami, A. Shibata, T. Shinohara, S. Ito
- Physics
- 21 September 2005

Abstract We present the first implementation of the Cho–Faddeev–Niemi decomposition of the SU(2) Yang–Mills field on a lattice. Our construction retains the color symmetry (global SU(2) gauge… Expand

Compact lattice formulation of Cho–Faddeev–Niemi decomposition: Gluon mass generation and infrared Abelian dominance

- A. Shibata, S. Kato, K. Kondo, T. Murakami, T. Shinohara, S. Ito
- Physics
- 18 June 2007

Abstract This Letter complements a new lattice formulation of SU(2) Yang–Mills theory written in terms of new variables in a compact form proposed in the previous paper. The new variables used in the… Expand

New descriptions of lattice SU(N) Yang–Mills theory towards quark confinement

- K. Kondo, A. Shibata, T. Shinohara, T. Murakami, S. Kato, S. Ito
- Physics
- 17 March 2008

Abstract We give new descriptions of lattice SU ( N ) Yang–Mills theory in terms of new lattice variables. The validity of such descriptions has already been demonstrated in the SU ( 2 ) Yang–Mills… Expand

Non-Abelian Dual Superconductor Picture for Quark Confinement

- K. Kondo, A. Shibata, T. Shinohara, S. Kato
- Physics
- 16 July 2010

We give a theoretical framework for defining and extracting non-Abelian magnetic monopoles in a gauge-invariant way in SU(N) Yang-Mills theory to study quark confinement. Then we give numerical… Expand

Type of dual superconductivity for the SU(2) Yang–Mills theory

- Shogo Nishino, K. Kondo, A. Shibata, Takaaki Sasago, S. Kato
- PhysicsThe European Physical Journal C
- 25 March 2019

We investigate the type of dual superconductivity responsible for quark confinement. For this purpose, we solve the field equations of the U(1) gauge-scalar model to obtain a single static vortex… Expand

Gauge-independent “Abelian” and magnetic-monopole dominance, and the dual Meissner effect in lattice SU(2) Yang-Mills theory

- S. Kato, K. Kondo, A. Shibata
- Physics
- 10 July 2014

In the $SU(2)$ Yang-Mills theory on the four-dimensional Euclidean lattice, we confirm the gauge-independent "Abelian" dominance (or the restricted field dominance) and gauge-independent… Expand

A new description of lattice Yang-Mills theory and non-Abelian monopoles as the quark confiner

- A. Shibata, K. Kondo, S. Kato, S. Ito, T. Shinohara, T. Murakami
- Physics
- 6 October 2008

We propose a new description of the SU(N) Yang-Mills theory on a lattice, which enables one to explain quark confinement based on the dual superconductivity picture in a gauge independent way. This… Expand

Magnetic monopole versus vortex as gauge-invariant topological objects for quark confinement

- K. Kondo, Takaaki Sasago, T. Shinohara, A. Shibata, S. Kato
- Physics
- 8 August 2015

First, we give a gauge-independent definition of chromomagnetic monopoles in $SU(N)$ Yang-Mills theory which is derived through a non-Abelian Stokes theorem for the Wilson loop operator. Then we… Expand

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