Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\rm f}=3$ QCD

Using a finite volume gradient flow renormalization scheme with Schrödinger Functional boundary conditions, we compute the nonperturbative running coupling in the range 2.2≲g¯GF2(L)≲13. Careful continuum extrapolations turn out to be crucial to reach our high accuracy. The running of the coupling is...

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Detalles Bibliográficos
Autores principales: Dalla Brida, Mattia, Fritzsch, Patrick, Korzec, Tomasz, Ramos, Alberto, Sint, Stefan, Sommer, Rainer
Lenguaje:eng
Publicado: 2016
Materias:
hep-lat
Particle Physics - Lattice
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.95.014507
http://cds.cern.ch/record/2200917
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author Dalla Brida, Mattia
Fritzsch, Patrick
Korzec, Tomasz
Ramos, Alberto
Sint, Stefan
Sommer, Rainer
author_facet Dalla Brida, Mattia
Fritzsch, Patrick
Korzec, Tomasz
Ramos, Alberto
Sint, Stefan
Sommer, Rainer
author_sort Dalla Brida, Mattia
collection CERN
description Using a finite volume gradient flow renormalization scheme with Schrödinger Functional boundary conditions, we compute the nonperturbative running coupling in the range 2.2≲g¯GF2(L)≲13. Careful continuum extrapolations turn out to be crucial to reach our high accuracy. The running of the coupling is always between one loop and two loop and very close to one loop in the region of 200  MeV≲μ=1/L≲4  GeV. While there is no convincing contact to two-loop running, we match nonperturbatively to the Schrödinger functional coupling with background field. In this case, we know the μ-dependence up to ∼100  GeV and can thus connect to the Λ-parameter.
id cern-2200917
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2016
record_format invenio
spelling cern-22009172023-08-11T03:58:36Zdoi:10.1103/PhysRevD.95.014507http://cds.cern.ch/record/2200917engDalla Brida, MattiaFritzsch, PatrickKorzec, TomaszRamos, AlbertoSint, StefanSommer, RainerSlow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\rm f}=3$ QCDhep-latParticle Physics - LatticeUsing a finite volume gradient flow renormalization scheme with Schrödinger Functional boundary conditions, we compute the nonperturbative running coupling in the range 2.2≲g¯GF2(L)≲13. Careful continuum extrapolations turn out to be crucial to reach our high accuracy. The running of the coupling is always between one loop and two loop and very close to one loop in the region of 200  MeV≲μ=1/L≲4  GeV. While there is no convincing contact to two-loop running, we match nonperturbatively to the Schrödinger functional coupling with background field. In this case, we know the μ-dependence up to ∼100  GeV and can thus connect to the Λ-parameter.Using a finite volume Gradient Flow (GF) renormalization scheme with Schr\"odinger Functional (SF) boundary conditions, we compute the non-perturbative running coupling in the range $2.2 \lesssim {\bar g}_\mathrm{GF}^2(L) \lesssim 13$. Careful continuum extrapolations turn out to be crucial to reach our high accuracy. The running of the coupling is always between one-loop and two-loop and very close to one-loop in the region of $200\,{\rm MeV} \lesssim \mu=1/L \lesssim 4\,{\rm GeV}$. While there is no convincing contact to two-loop running, we match non-perturbatively to the SF coupling with background field. In this case we know the $\mu$ dependence up to $\sim 100\,{\rm GeV}$ and can thus connect to the $\Lambda$-parameter.arXiv:1607.06423CERN-TH-2016-160DESY-16-133IFT-UAM-CSIC-16-067WUB-16-02YITP-16-89oai:cds.cern.ch:22009172016-07-21
spellingShingle hep-lat
Particle Physics - Lattice
Dalla Brida, Mattia
Fritzsch, Patrick
Korzec, Tomasz
Ramos, Alberto
Sint, Stefan
Sommer, Rainer
Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\rm f}=3$ QCD
title Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\rm f}=3$ QCD
title_full Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\rm f}=3$ QCD
title_fullStr Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\rm f}=3$ QCD
title_full_unstemmed Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\rm f}=3$ QCD
title_short Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\rm f}=3$ QCD
title_sort slow running of the gradient flow coupling from 200 mev to 4 gev in $n_{\rm f}=3$ qcd
topic hep-lat
Particle Physics - Lattice
url https://dx.doi.org/10.1103/PhysRevD.95.014507
http://cds.cern.ch/record/2200917
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AT fritzschpatrick slowrunningofthegradientflowcouplingfrom200mevto4gevinnrmf3qcd
AT korzectomasz slowrunningofthegradientflowcouplingfrom200mevto4gevinnrmf3qcd
AT ramosalberto slowrunningofthegradientflowcouplingfrom200mevto4gevinnrmf3qcd
AT sintstefan slowrunningofthegradientflowcouplingfrom200mevto4gevinnrmf3qcd
AT sommerrainer slowrunningofthegradientflowcouplingfrom200mevto4gevinnrmf3qcd

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