SU(2) running coupling constant and confinement in minimal Coulomb and Landau gauges

Attilio Cucchieri; Tereza Mendes; Daniel Zwanziger

doi:10.1016/S0920-5632(01)01820-5

SU(2) running coupling constant and confinement in minimal Coulomb and Landau gauges

Attilio Cucchieri, Tereza Mendes, Daniel Zwanziger

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

Abstract

We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a non-perturbative evaluation of the running coupling constant and a numerical check of Gribov's confinement scenarios for these two gauges. Our simulations are done in pure SU(2) lattice gauge theory at β = 2.2. We consider several lattice volumes in order to control finite-volume effects and extrapolate our results to infinite lattice volume.

Original language	English (US)
Pages (from-to)	697-699
Number of pages	3
Journal	Nuclear Physics B - Proceedings Supplements
Volume	106-107
DOIs	https://doi.org/10.1016/S0920-5632(01)01820-5
State	Published - Mar 2002

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics

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10.1016/S0920-5632(01)01820-5

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title = "SU(2) running coupling constant and confinement in minimal Coulomb and Landau gauges",

abstract = "We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a non-perturbative evaluation of the running coupling constant and a numerical check of Gribov's confinement scenarios for these two gauges. Our simulations are done in pure SU(2) lattice gauge theory at β = 2.2. We consider several lattice volumes in order to control finite-volume effects and extrapolate our results to infinite lattice volume.",

author = "Attilio Cucchieri and Tereza Mendes and Daniel Zwanziger",

note = "Funding Information: In order to get rid of the problem of spurious gauge copies, Gribov restricted \[1\] the physical configuration space to the region l~ of transverse configurations, for which the Faddeev-Popov operator is non-negative) This region is delimited by the first Gribov horizon, defined as the set of *Talk presented by A. Cucchieri. t Research partially supported by FAPESP, Brazil (Project No. 00/05047-5). ~tResearch partially supported by the National Science Foundation, grant no. PHY-0099393. 1I n the Coulomb case the transversality condition and the positiveness of the Faddeev-Popov operator are satisfied on each time slice.",

year = "2002",

month = mar,

doi = "10.1016/S0920-5632(01)01820-5",

language = "English (US)",

volume = "106-107",

pages = "697--699",

journal = "Nuclear Physics B - Proceedings Supplements",

issn = "0920-5632",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - SU(2) running coupling constant and confinement in minimal Coulomb and Landau gauges

AU - Cucchieri, Attilio

AU - Mendes, Tereza

AU - Zwanziger, Daniel

N1 - Funding Information: In order to get rid of the problem of spurious gauge copies, Gribov restricted \[1\] the physical configuration space to the region l~ of transverse configurations, for which the Faddeev-Popov operator is non-negative) This region is delimited by the first Gribov horizon, defined as the set of *Talk presented by A. Cucchieri. t Research partially supported by FAPESP, Brazil (Project No. 00/05047-5). ~tResearch partially supported by the National Science Foundation, grant no. PHY-0099393. 1I n the Coulomb case the transversality condition and the positiveness of the Faddeev-Popov operator are satisfied on each time slice.

PY - 2002/3

Y1 - 2002/3

N2 - We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a non-perturbative evaluation of the running coupling constant and a numerical check of Gribov's confinement scenarios for these two gauges. Our simulations are done in pure SU(2) lattice gauge theory at β = 2.2. We consider several lattice volumes in order to control finite-volume effects and extrapolate our results to infinite lattice volume.

AB - We present a numerical study of the space-space and time-time components of the gluon propagator at equal time in the minimal Coulomb gauge, and of the gluon and ghost propagators in the minimal Landau gauge. This work allows a non-perturbative evaluation of the running coupling constant and a numerical check of Gribov's confinement scenarios for these two gauges. Our simulations are done in pure SU(2) lattice gauge theory at β = 2.2. We consider several lattice volumes in order to control finite-volume effects and extrapolate our results to infinite lattice volume.

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UR - http://www.scopus.com/inward/citedby.url?scp=0036524823&partnerID=8YFLogxK

U2 - 10.1016/S0920-5632(01)01820-5

DO - 10.1016/S0920-5632(01)01820-5

M3 - Article

AN - SCOPUS:0036524823

SN - 0920-5632

VL - 106-107

SP - 697

EP - 699

JO - Nuclear Physics B - Proceedings Supplements

JF - Nuclear Physics B - Proceedings Supplements

ER -

SU(2) running coupling constant and confinement in minimal Coulomb and Landau gauges

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