Weyl symmetric representation of hadronic flux tubes in the dual Ginzburg-Landau theory

Abstract

Hadronic flux-tube solutions describing the mesonic and the baryonic states within the dual Ginzburg-Landau (DGL) theory are investigated by using the dual lattice formulation in the Weyl-symmetric approach.The shape of the flux tubes is determined by placement of the colorelectric Dirac-string singularity treated as a connected stack of quantized plaquettes in the dual lattice formulation. The Weyl symmetric profiles of the hadronic flux tubes are obtained by using the manifestly Weyl invariant representation of the dual gauge field.

Precise determination of the three-quark potential in SU(3) lattice gauge theory

“…i (i, i, 0) (i, i, i) (2i, i, 0) 1 0.618206(71) 0.67289 (10) r / a (i, 0, 0) (i, i, 0) (i, i, i) (2i, i, 0) fit (i, 0, 0) FIG. 25.…”

“…This may then be called the Y area law, suggesting the formation of a Y -shaped color flux tube among the three quarks at long distances. The confining feature of the Y area law can be explained partly if the QCD vacuum possesses the property of dual superconductor [9,10], which are explicitly demonstrated by lattice QCD simulations in the maximally Abelian gauge [11][12][13]. Bissey et al [14] investigated the profile of the non-Abelian action density in the three-quark system and found no ∆-shaped fluxtube structure at long distance, but the structure was not always of Y shape.…”

Phase diagram of a lattice of vortex molecules in multicomponent superconductors and multilayer cuprate superconductors

“…A vortex molecule is a molecule that has two such terminations confined by an i -soliton. An i -soliton generates fractional quanta and confinement (such as quark confinement), which are critically important topics in the field of multicomponent quantum condensates, which includes the vacuum of quantum chromodynamics [22][23][24][25][26][27][28][29][30][31].…”