Published July 2016 | Version v1
Report Open

Slow running of the gradient flow coupling from 200 MeV to 4 GeV in Nf=3 QCD

Creators

  • 1. DESY, Zeuthen (Germany). John von Neumann Inst. for Computing (NIC)
  • 2. Univ. Autonoma de Madrid (Spain). Inst. de Fisica Teorica UAM/CSIC
  • 3. Bergische Univ. Wuppertal (Germany). Dept. of Physics
  • 4. CERN, Geneva (Switzerland). Theory Div.
  • 5. Trinity College, Dublin (Ireland). School of Mathematics
  • 6. Humboldt Univ., Berlin (Germany). Inst. fuer Physik

Description

Using a finite volume Gradient Flow (GF) renormalization scheme with Schroedinger Functional (SF) boundary conditions, we compute the non-perturbative running coupling in the range 2.2GF2(L)<or similar 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<or similar μ=1/L<or similar 4 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 μ dependence up to ∝100 GeV and can thus connect to the Λ-parameter.

Files

48012305.pdf

Files (1.1 MB)

Name Size Download all
md5:0b05fc53fd1ace878a7ef2e1d214c67a
1.1 MB Preview Download

Additional details

Publishing Information

Imprint Pagination
34 p.
ISSN
0418-9833
Report number
DESY--16-133

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
48012305
Subject category
S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Descriptors DEI
ANALYTIC FUNCTIONS; BOUNDARY CONDITIONS; COUPLING CONSTANTS; EXTRAPOLATION; FEYNMAN DIAGRAM; FLAVOR MODEL; FUNCTIONAL ANALYSIS; QUANTUM CHROMODYNAMICS; RENORMALIZATION; SCALING LAWS; SCHROEDINGER PICTURE
Descriptors DEC
COMPOSITE MODELS; DIAGRAMS; FIELD THEORIES; FUNCTIONS; INFORMATION; MATHEMATICAL MODELS; MATHEMATICAL SOLUTIONS; MATHEMATICS; NUMERICAL SOLUTION; PARTICLE MODELS; QUANTUM FIELD THEORY; QUARK MODEL

Optional Information

Collaborations
ALPHA Collaboration
Secondary number(s)
CERN-TH--2016-160; IFT-UAM/CSIC--16-067; WUB--16-02; YITP--16-89