Numerical study of the gluon propagator and confinement scenario in the minimal Coulomb gauge

Attilio Cucchieri; Daniel Zwanziger

Numerical study of the gluon propagator and confinement scenario in the minimal Coulomb gauge

Attilio Cucchieri, Daniel Zwanziger

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Abstract

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 D^tr(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 D^tr(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 D^tr(k^→) for relevant values of k^→.

Original language	English (US)
Article number	014001
Pages (from-to)	140011-1400111
Number of pages	1260101
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	65
Issue number	1
State	Published - Jan 1 2002

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Cite this

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title = "Numerical study of the gluon propagator and confinement scenario in the minimal Coulomb gauge",

abstract = "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→.",

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N2 - 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→.

AB - 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→.

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Numerical study of the gluon propagator and confinement scenario in the minimal Coulomb gauge

Abstract

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