Fetching the paper…

Reading the bibliography…

Symanzik improvement of the gradient flow in lattice gauge theories · Around

2015

Symanzik improvement of the gradient flow in lattice gauge theories

Ramos, A., Sint, S.

Original
PDF
Post on X

Understand

We apply the Symanzik improvement programme 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 to eliminate all cutoff effects at $\mathcal O(a^2)$ which originate either from the discretized gradient flow equation or from the gradient flow observable.
All the remaining $\mathcal O(a^2)$ 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.

Built on

K. Symanzik, Continuum Limit and Improved Action in Lattice Theories. 1. Principles and phi**4 Theory
1983
Earlier work this paper cites.
M. Luscher and P. Weisz, On-Shell Improved Lattice Gauge Theories
1985
Earlier work this paper cites.
M. Luscher and P. Weisz, Computation of the Action for On-Shell Improved Lattice Gauge Theories at Weak Coupling
1985
Earlier work this paper cites.
J. Zinn-Justin and D. Zwanziger, Ward Identities for the Stochastic Quantization of Gauge Fields
1988
Earlier work this paper cites.
M. Garcia Perez, A. Gonzalez-Arroyo, J. R. Snippe, and P. van Baal, Instantons from over - improved cooling
1994
Earlier work this paper cites.
M. Luscher, S. Sint, R. Sommer, and P. Weisz, Chiral symmetry and O(a) improvement in lattice QCD
1996
Earlier work this paper cites.
C. Morningstar and M. J. Peardon, Analytic smearing of SU(3) link variables in lattice QCD
2004
Earlier work this paper cites.
R. Narayanan and H. Neuberger, Infinite N phase transitions in continuum Wilson loop operators
2006
Earlier work this paper cites.
M. Lüscher, Properties and uses of the Wilson flow in lattice QCD
Original
2010
Earlier work this paper cites.

Similar

M. Lüscher and P. Weisz, Perturbative analysis of the gradient flow in non-abelian gauge theories
Original
2011
Cited alongside, same era.
Z. Fodor, K. Holland, J. Kuti, D. Nogradi, and C. H. Wong, The Yang-Mills gradient flow in finite volume
Original
2012
Cited alongside, same era.
S. Borsanyi, S. Durr, Z. Fodor, C. Hoelbling, S. D. Katz, et al., High-precision scale setting in lattice QCD
Original
2012
Cited alongside, same era.
S. Borsanyi, S. Dürr, Z. Fodor, C. Hoelbling, S. D. Katz, et al., High-precision scale setting in lattice QCD
Original
2012
Cited alongside, same era.
M. Luscher, Chiral symmetry and the Yang–Mills gradient flow
Original

Then

FlowQCD Collaboration
Original
2014
Later among the works it cites.
H. Makino and H. Suzuki, Lattice energy-momentum tensor from the Yang-Mills gradient flow?inclusion of fermion fields
Original
2014
Later among the works it cites.
R. Sommer, Scale setting in lattice QCD
Original
2014
Later among the works it cites.
M. Lüscher, Step scaling and the Yang-Mills gradient flow
Original
2014
Later among the works it cites.
A. Ramos, The gradient flow running coupling with twisted boundary conditions
Original
2014
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

2013

Cited alongside, same era.

L. Del Debbio, A. Patella, and A. Rago, Space-time symmetries and the Yang-Mills gradient flow

2013

Cited alongside, same era.

H. Suzuki, Energy-momentum tensor from the Yang-Mills gradient flow

2013

Cited alongside, same era.

P. Fritzsch and A. Ramos, The gradient flow coupling in the Schrödinger Functional

2013

Cited alongside, same era.

A. Shindler, Chiral Ward identities, automatic O(a) improvement and the gradient flow

2014

Cited alongside, same era.

A. Ramos and S. Sint, On 𝒪 ⁡ ( a 2 ) \mathcal{O}(a^{2}) effects in gradient flow observables

Cited in the paper.

A. Cheng, A. Hasenfratz, Y. Liu, G. Petropoulos, and D. Schaich, Improving the continuum limit of gradient flow step scaling

2014

Later among the works it cites.

Z. Fodor, K. Holland, J. Kuti, S. Mondal, D. Nogradi, et al., The lattice gradient flow at tree-level and its improvement

2014

Later among the works it cites.

M. García Pérez, A. González-Arroyo, L. Keegan, and M. Okawa, The S U ( ∞ ) SU(\infty) twisted gradient flow running coupling

2015

Closest in time.

A. Ramos, The Yang-Mills gradient flow and renormalization

2015

Closest in time.