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 …

The latest MoEDAL experiment at LHC to detect the electroweak monopole makes the
theoretical prediction of the monopole mass an urgent issue. We discuss three different …

The electroweak monopole in the standard model, the existence, characteristic features,
cosmological production and physical implications are discussed. The discovery of the …

We give a theoretical framework to obtain a low-energy effective theory of quantum
chromodynamics (QCD) towards a first-principle derivation of confinement/deconfinement …

We give an argument for deriving analytically the infrared Abelian dominance in a gauge-
invariant way for the Wilson loop average in SU (2) Yang-Mills theory. In other words, we …

We give a new way of looking at the Cho-Faddeev-Niemi (CFN) decomposition of the Yang-
Mills theory to answer how the enlarged local gauge symmetry respected by the CFN …

We compare two competing conjectures of the color confinement in QCD, the monopole
condensation and the Abelian dominance, and show that it is the monopole condensation …

The Abelian decomposition of QCD tells that there are two types of gluons, the color neutral
neurons and colored chromons. We propose to confirm the Abelian decomposition testing …

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 …

The Abelian decomposition of QCD which decomposes the gluons to the color neutral
binding gluons and the colored valence gluons shows that QCD can be viewed as the …