The gradient flow coupling in the Schrödinger functional

Fritzsch, Patrick; Ramos, Alberto

doi:10.1007/JHEP10(2013)008

The gradient flow coupling in the Schrödinger functional

Patrick Fritzsch
(
- Humboldt U., Berlin
)
,
Alberto Ramos
(
- NIC, Zeuthen
)

Jan, 2013

31 pages

Published in:

JHEP 10 (2013) 008

Published: 2013

e-Print:

1301.4388 [hep-lat]

DOI:

10.1007/JHEP10(2013)008

Report number:

DESY-12-241,
HU-EP-12-53,
SFB-CPP-13-05

View in:

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Abstract: (arXiv)

We study the perturbative behavior of the Yang-Mills gradient flow in the Schr\"odinger Functional, both in the continuum and on the lattice. The energy density of the flow field is used to define a running coupling at a scale given by the size of the finite volume box. From our perturbative computation we estimate the size of cutoff effects of this coupling to leading order in perturbation theory. On a set of Nf=2 gauge field ensembles in a physical volume of L ~ 0.4 fm we finally demonstrate the suitability of the coupling for a precise continuum limit due to modest cutoff effects and high statistical precision.

Note:

LaTeX, 27 pages, 7 figures. Added section on gauge fixing. Typos corrected. Results unchanged

Lattice Gauge Field Theories
Non-perturbative effects
QCD
coupling constant: energy dependence
gauge field theory
continuum limit
finite size
error: statistical
numerical calculations
quark: flavor: 2

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