Three-quark potential and Abelian dominance of confinement in SU(3) QCD

Abstract

We study the baryonic three-quark (3Q) potential and its Abelian projection in terms of the dual-superconductor picture in SU(3) quenched lattice QCD. The non-Abelian SU(3) gauge theory is projected onto Abelian U(1)${}^2$ gauge theory in the maximal Abelian gauge. We investigate the 3Q potential and its Abelian part for more than 300 different patterns of static 3Q systems in total at $\beta =5.8$ on $16^{3}32$ and at $\beta =6.0$ on $20^{3}32$ with 1000-2000 gauge configurations. For all the distances, both the 3Q potential and Abelian part are found to be well described by the Y ansatz, i.e., two-body Coulomb term plus three-body Y-type linear term ${\sigma }_{3\mathrm{Q}}{L}_{\min }$, where $L_{\min }$ is the minimum flux-tube length connecting the three quarks. We find equivalence between the three-body string tension ${\sigma }_{3\mathrm{Q}}$ and its Abelian part ${\sigma }_{3\mathrm{Q}}^{\mathrm{Abel}}$ with an accuracy within a few percent deviation, i.e., ${\sigma }_{3\mathrm{Q}}\simeq {\sigma }_{3\mathrm{Q}}^{\mathrm{Abel}}$, which means Abelian dominance of the quark-confining force in 3Q systems.

7pages, 7figures, 3tables; published version

References in corpus (6)

• Chromoelectric flux tubes in QCD
• Perfect Abelian dominance of quark confinement in SU(3) QCD
• Symmetries of the Three Heavy-Quark System and the Color-Singlet Static Energy at NNLL
• Gauge-independent "Abelian" and magnetic-monopole dominance, and the dual Meissner effect in lattice $SU(2)$ Yang-Mills theory
• Heavy-baryon quark model picture from lattice QCD
• Variational study of the flux tube recombination in the two quarks and two quarks system in Lattice QCD

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• Color screening masses from string models
• Local correlation among the chiral condensate, monopoles, and color magnetic fields in Abelian projected QCD
• The Schwinger function, confinement and positivity violation in pure gauge QED
• Ensembles of center vortices and chains: Insights from a natural lattice framework
• Evidence for pulsars metamorphism and their possible connection to black holes and dark matter in cosmology
• Gluonic-Excitation Energies and Abelian Dominance in SU(3) QCD
• Confinement of fermions in tachyon matter
• Phenomenology of Strong Interactions -- Towards an Effective Theory for Low Energy QCD
• Dimensional reduction gauge and effective dimensional reduction in the four-dimensional Yang-Mills theory
• Perturbative static quark potential in Maximal Abelian gauge