We present numerical results in SU(2) lattice gauge theory for the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge. It is found that the equal-time would-be physical 3-dimensionally transverse gluon propagator Dtr(k→) vanishes at k→ = 0 when extrapolated to infinite lattice volume, whereas the instantaneous color-Coulomb potential D44(k→) is strongly enhanced at k→ = 0. This has a natural interpretation in a confinement scenario in which the would-be physical gluons leave the physical spectrum while the long-range Coulomb force confines color. Gribov's formula Dtr(k→) = (|k→|/2)[(k→2)2 + M4]1/2 provides an excellent fit to our data for the 3-dimensionally transverse equal-time gluon propagator Dtr(k→) for relevant values of k→.
|Original language||English (US)|
|Number of pages||1260101|
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|State||Published - Jan 1 2002|
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)