Symanzik Improvement of the gradient flow in lattice gauge theories
Citation:
Alberto Ramos, Stefan Sint, Symanzik Improvement of the gradient flow in lattice gauge theories, European Physical Journal C, 76, 2015, 15-Download Item:
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.
Sponsor
Grant Number
European Union (EU)
PITN-GA-2009-238353
Science Foundation Ireland (SFI)
11/RFP/PHY3218
Author's Homepage:
http://people.tcd.ie/sintsDescription:
PUBLISHED
Author: Sint, Stefan
Type of material:
Journal ArticleSeries/Report no:
European Physical Journal C76
Availability:
Full text availableKeywords:
Symanzik improvement progra- mmeSubject (TCD):
Particle Physics , QUANTUM FIELD-THEORY , Theoretical PhysicsDOI:
https://doi.org/10.1140/epjc/s10052-015-3831-9Metadata
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