Fit to gluon propagator and Gribov formula

Attilio Cucchieri; Daniel Zwanziger

doi:10.1016/S0370-2693(01)01365-X

Fit to gluon propagator and Gribov formula

Attilio Cucchieri, Daniel Zwanziger

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1016/S0370-2693(01)01365-X
State	Published - Jan 3 2002

Keywords

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

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/S0370-2693(01)01365-X

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title = "Fit to gluon propagator and Gribov formula",

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.",

keywords = "Color-Coulomb potential, Confinement, Gluon propagator, Gribov horizon, Running coupling constant",

author = "Attilio Cucchieri and Daniel Zwanziger",

note = "Funding Information: The research of Attilio Cucchieri was partially supported by the TMR network Finite Temperature Phase Transitions in Particle Physics, EU contract No. ERBFMRX-CT97-0122 and by FAPESP, Brazil (Project No. 00/05047-5). The research of Daniel Zwanziger was partially supported by the National Science Foundation under grant PHY-0099393.",

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doi = "10.1016/S0370-2693(01)01365-X",

language = "English (US)",

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AU - Cucchieri, Attilio

AU - Zwanziger, Daniel

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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

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

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SN - 0370-2693

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

IS - 1-2

ER -

Fit to gluon propagator and Gribov formula

Abstract

Keywords

ASJC Scopus subject areas

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