A Ginzburg-Landau model of knotted flux-tube and glueball-like f_J mesons

2011/08/30 by Duojie Jia, Jia, Duojie, Yi-Ping Lu +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.1108.5887

arxiv created 2011/08/30 · arxiv updated 2011/08/31

Abstract

A dual Ginzburg-Landau model of the knotted chromo-electric flux-tube is revisited, in which the covariant decomposition of gluon field and the random phase approximation are used. It is shown that the SU(2) QCD vacuum is of type-II superconductor, with the Ginzburg-Landau parameter κ= √(3), being independent of the magnetic condensate and strong coupling used, and consistent with the lattice data. The mass spectrum of a number of f_J meson states with J≤ 2, which are taken to be of glue dominate, are computed with help of the energies of the knotted(linked) QCD fluxtubes. The low-lying f_J states (leq 1.7GeV) are shown to be associated with the string excitations of the types 2₁² and K=3₁ in knot topologies.

Related

• SU(3) gauge invariant lattice QCD exploration of the dual superconductor picture in flux tube fusion, in the dual gluon mass, and in the dual Ginzburg-Landau parameters
• Glueball Spectra of SU(2) Gauge Theories in 3 and 4 Dimensions: A Comparison with the Isgur-Paton Flux Tube Model
• Hadronic flux-tubes in the Dual Ginzburg-Landau Theory
• Topological structures in Yang Mills Magneto-Fluids
• Confining strings, axions and glueballs in the planar limit