Lattice QCD computation of the colour fields for the static hybrid quark-gluon-antiquark system, and microscopic study of the Casimir scaling

Abstract

The chromoelectric and chromomagnetic fields, created by a static gluon-quark-antiquark system, are computed in quenched SU(3) lattice QCD, in a $24^3\times 48$ lattice at $\beta =6.2$ and $a=0.07261(85)fm$. We compute the hybrid Wilson Loop with two spatial geometries, one with a U shape and another with an L shape. The particular cases of the two gluon glueball and quark-antiquark are also studied, and the Casimir scaling is investigated in a microscopic perspective. This microscopic study of the colour fields is relevant to understand the structure of hadrons, in particular of the hybrid excitation of mesons. This also contributes to understand confinement with flux tubes and to discriminate between the models of fundamental versus adjoint confining strings, analogous to type-II and type-I superconductivity.

7 pages, 10 figures

References in corpus (7)

• Observing string breaking with Wilson loops
• Flux Tubes of Two- and Three-Quark System in Full QCD
• The baryon static potential from lattice QCD
• About the Casimir scaling hypothesis
• From Decay to Complete Breaking: Pulling the Strings in SU(2) Yang-Mills Theory
• A study of colour field distributions in the baryon
• First study of the gluon-quark-antiquark static potential in SU(3) Lattice QCD

Cited by in corpus (10)

• Inside the SU(3) quark-antiquark QCD flux tube: screening versus quantum widening
• Colour Fields Computed in SU(3) Lattice QCD for the Static Tetraquark System
• Colour field flux tubes and Casimir scaling for various SU(3) representations
• Non-Abelian dual superconductivity in SU(3) Yang-Mills theory: dual Meissner effect and type of the vacuum
• Colour Fields of the Static Pentaquark System Computed in SU(3) Lattice QCD
• Variational study of the flux tube recombination in the two quarks and two quarks system in Lattice QCD
• Colour flux-tubes in static Pentaquark and Tetraquark systems
• Spectrum of very excited ${\Sigma }_g^{+}$ flux tubes in SU(3) gauge theory
• Toward construction of a consistent field theory with Poincare covariance in terms of step-function-type basis functions showing confinement/deconfinement, mass-gap and Regge trajectory for non-pure/pure non-Abelian gauge fields
• Color screening in flux tubes and in the color Coulomb potential from the QCD Field Correlators