Abstract
We present the first study of the Abelian-projected gluonic-excitation energies for the static quark-antiquark (Q$\bar{\rm Q}$) system in SU(3) lattice QCD at the quenched level, using a $32^4$ lattice at $\beta = 6.0$. We investigate ground-state and three excited-state Q$\bar{\rm Q}$ potentials, using smeared link variables on the lattice. We find universal Abelian dominance for the quark confinement force of the excited-state Q$\bar{\rm Q}$ potentials as well as the ground-state potential. Remarkably, in spite of the excitation phenomenon in QCD, we find Abelian dominance for the first gluonic-excitation energy of about 1 GeV at long distances in the maximally Abelian gauge. On the other hand, no Abelian dominance is observed for higher gluonic-excitation energies even at long distances. This suggests that there is some threshold between 1 and 2 GeV for the applicable excitation-energy region of Abelian dominance. Also, we find that Abelian projection significantly reduces the short-distance $1/r$-like behavior in gluonic-excitation energies.
Highlights
Since quantum chromodynamics (QCD) has been established as the fundamental theory of the strong interaction, analytical derivation of quark confinement directly from QCD has been an open problem
In the maximally Abelian (MA) gauge [3,4,5,6,7,8,9], which is a special Abelian gauge, the off-diagonal gluon has a large effective mass of about 1 GeV [6], and Abelian dominance of quark confinement is observed in lattice
We have presented the first study of the Abelian-projected gluonic-excitation energies in the static QQsystem in SU(3) lattice QCD at the quenched level
Summary
Since quantum chromodynamics (QCD) has been established as the fundamental theory of the strong interaction, analytical derivation of quark confinement directly from QCD has been an open problem. The excited-state potentials are important for the description of excitation phenomena of QCD [12,13,14], and the gluonic-excitation energies are interesting physical observables appearing in hybrid hadrons [15] They have been investigated in lattice QCD [12,13,14], and the lattice results have been compared as stringy modes in the string picture of hadrons for the static quark-antiquark system. The gluonic-excitation energies are defined by the differences between the groundstate and excited-state potentials, and the lowest gluonicexcitation energy takes a larger value than about 1 GeV both for static quark-antiquark (QQ ) and 3Q systems in lattice QCD [12,13].
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
