ADJOINT "QUARK" COLOR FIELDS IN FOUR-DIMENSIONAL LATTICE GAUGE THEORY: VACUUM SCREENING AND PENETRATION

Howard D. Trottier

doi:10.1016/0370-2693(95)00902-W

paper

ADJOINT "QUARK" COLOR FIELDS IN FOUR-DIMENSIONAL LATTICE GAUGE THEORY: VACUUM SCREENING AND PENETRATION

arXiv:hep-lat/9503017 · doi:10.1016/0370-2693(95)00902-W

Abstract

The fields generated by ``quarks'' in the adjoint representation of SU(2) color are analyzed in the scaling region of the four-dimensional lattice theory. Evidence of vacuum screening of adjoint quarks is obtained from a comparison of quark-antiquark ( $Q Q ˉ$ ) flux-tubes for quarks in the adjoint (``isospin'' $j = 1$ ) and fundamental ( $j = 1/2$ ) representations. The component $E_{j}$ of the color-electric field strength in the direction parallel to the $Q Q ˉ$ axis is calculated. Near the quarks the ratio of fields $E_{j = 1} / E_{j = 1/2}$ approaches the value 8/3, which is equal to the ratio of SU(2) Casimirs. In between the quarks, the ratio falls well below 8/3 at large $R$ . $E_{j}$ also falls off rapidly as a function of distance $x_{⊥}$ perpendicular to the $Q Q ˉ$ axis. However, the ratio $E_{j = 1} / E_{j = 1/2}$ depends very weakly on $x_{⊥}$ . The flux-tubes in the two representations thus appear to have very similar cross-sections. This result could imply that the QCD vacuum is dual to a type I superconductor.

7 pages plus 8 figures in 2 postscript files (uuencoded)

ADJOINT "QUARK" COLOR FIELDS IN FOUR-DIMENSIONAL LATTICE GAUGE THEORY: VACUUM SCREENING AND PENETRATION

Abstract

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