### Abstract

We report a numerical study of SU(2) lattice gauge theory in the minimal Coulomb gauge at β = 2.2 and 9 different volumes. After extrapolation to infinite volume, our fit agrees with a lattice discretization of Gribov's formula for the transverse equaltime would-be physical gluon propagator, that vanishes like |k| at k = 0, whereas the free equal-time propagator (2|k|)^{-1} diverges. Our fit lends reality to a confinement scenario in which the would-be physical gluons leave the physical spectrum while the long-range Coulomb force confines color.

Original language | English (US) |
---|---|

Pages (from-to) | 123-128 |

Number of pages | 6 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 524 |

Issue number | 1-2 |

DOIs | |

State | Published - Jan 3 2002 |

### Fingerprint

### Keywords

- Color-Coulomb potential
- Confinement
- Gluon propagator
- Gribov horizon
- Running coupling constant

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*524*(1-2), 123-128. https://doi.org/10.1016/S0370-2693(01)01365-X

**Fit to gluon propagator and Gribov formula.** / Cucchieri, Attilio; Zwanziger, Daniel.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 524, no. 1-2, pp. 123-128. https://doi.org/10.1016/S0370-2693(01)01365-X

}

TY - JOUR

T1 - Fit to gluon propagator and Gribov formula

AU - Cucchieri, Attilio

AU - Zwanziger, Daniel

PY - 2002/1/3

Y1 - 2002/1/3

N2 - We report a numerical study of SU(2) lattice gauge theory in the minimal Coulomb gauge at β = 2.2 and 9 different volumes. After extrapolation to infinite volume, our fit agrees with a lattice discretization of Gribov's formula for the transverse equaltime would-be physical gluon propagator, that vanishes like |k| at k = 0, whereas the free equal-time propagator (2|k|)-1 diverges. Our fit lends reality to a confinement scenario in which the would-be physical gluons leave the physical spectrum while the long-range Coulomb force confines color.

AB - We report a numerical study of SU(2) lattice gauge theory in the minimal Coulomb gauge at β = 2.2 and 9 different volumes. After extrapolation to infinite volume, our fit agrees with a lattice discretization of Gribov's formula for the transverse equaltime would-be physical gluon propagator, that vanishes like |k| at k = 0, whereas the free equal-time propagator (2|k|)-1 diverges. Our fit lends reality to a confinement scenario in which the would-be physical gluons leave the physical spectrum while the long-range Coulomb force confines color.

KW - Color-Coulomb potential

KW - Confinement

KW - Gluon propagator

KW - Gribov horizon

KW - Running coupling constant

UR - http://www.scopus.com/inward/record.url?scp=0037011857&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0037011857&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(01)01365-X

DO - 10.1016/S0370-2693(01)01365-X

M3 - Article

AN - SCOPUS:0037011857

VL - 524

SP - 123

EP - 128

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -