dc.contributor.author | Sint, Stefan | en |
dc.date.accessioned | 2017-01-13T11:21:33Z | |
dc.date.available | 2017-01-13T11:21:33Z | |
dc.date.issued | 2015 | en |
dc.date.submitted | 2015 | en |
dc.identifier.citation | Alberto Ramos, Stefan Sint, Symanzik Improvement of the gradient flow in lattice gauge theories, European Physical Journal C, 76, 2015, 15- | en |
dc.identifier.other | Y | en |
dc.identifier.uri | http://hdl.handle.net/2262/78727 | |
dc.description | PUBLISHED | en |
dc.description.abstract | We apply the Symanzik improvement progra-
mme to the 4
+
1-dimensional local re-formulation of the
gradient flow in pure
SU
(
N
)
lattice gauge theories. We show
that the classical nature of the flow equation allows one to
eliminate all cutoff effects at
O
(
a
2
)
, which originate either
from the discretised gradient flow equation or from the gradi-
ent flow observable. All the remaining
O
(
a
2
)
effects can be
understood in terms of local counterterms at the zero flow-
time boundary. We classify these counterterms and provide
a complete set as required for on-shell improvement. Com-
pared to the 4-dimensional pure gauge theory only a single
additional counterterm is required, which corresponds to a
modified initial condition for the flow equation. A consis-
tency test in perturbation theory is passed and allows one to
determine all counterterm coefficients to lowest non-trivial
order in the coupling. | en |
dc.description.sponsorship | The authors would like to express their special
gratitude to R. Sommer for his help and advice in many steps of
this work. We have benefited from discussions with M. García Perez,
A. González-Arroyo, M. Lüscher, A. Patella, S. Schaefer and our col-
leagues in the ALPHA-collaboration. S.S. is grateful for the hospitality
extended to him at DESY-Zeuthen where this project has been initiated,
and to both the CERN theory group and the Yukawa Institute for The-
oretical Physics (programme YITP-T-14-03), where essential progress
was made. The authors want to thank the organisers of the workshop
“High-precision QCD at low energy” and the staff of the “Centro de
ciencias Pedro Pascual” in Benasque for the nice atmosphere that we
needed to finish this work. We warmly thank A. Portelli for providing
beers in the very last stage of this work. S.S. is partially supported by
Science Foundation Ireland under grant 11/RFP/PHY3218. | en |
dc.format.extent | 15 | en |
dc.language.iso | en | en |
dc.relation.ispartofseries | European Physical Journal C | en |
dc.relation.ispartofseries | 76 | en |
dc.rights | Y | en |
dc.subject | Symanzik improvement progra- mme | en |
dc.subject.lcsh | Symanzik improvement progra- mme | en |
dc.title | Symanzik Improvement of the gradient flow in lattice gauge theories | en |
dc.type | Journal Article | en |
dc.type.supercollection | scholarly_publications | en |
dc.type.supercollection | refereed_publications | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/sints | en |
dc.identifier.rssinternalid | 94119 | en |
dc.identifier.doi | https://doi.org/10.1140/epjc/s10052-015-3831-9 | en |
dc.relation.ecprojectid | info:eu-repo/grantAgreement/EC/FP7/PITN-GA-2009-238353 | |
dc.rights.ecaccessrights | openAccess | |
dc.subject.TCDTag | Particle Physics | en |
dc.subject.TCDTag | QUANTUM FIELD-THEORY | en |
dc.subject.TCDTag | Theoretical Physics | en |
dc.identifier.orcid_id | 0000-0001-7007-2980 | en |
dc.contributor.sponsor | European Union (EU) | en |
dc.contributor.sponsorGrantNumber | PITN-GA-2009-238353 | en |
dc.contributor.sponsor | Science Foundation Ireland (SFI) | en |
dc.contributor.sponsorGrantNumber | 11/RFP/PHY3218 | en |