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Simple chromatic properties of gradient flow · Around

2017

Simple chromatic properties of gradient flow

DeGrand, Thomas

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It has become customary to use a smoothing algorithm called "gradient flow" to fix the lattice spacing in a simulation, through a parameter called $t_0$.

It is shown that in order to keep the length $t_0$ fixed with respect to mesonic or gluonic observables as the number of colors $N_c$ is varied, the fiducial point for the flow parameter must be scaled nearly linearly in $N_c$.
In simulations with dynamical fermions, the dependence of $t_0$ on the pseudoscalar meson mass flattens as the number of colors rises, in a way which is consistent with large $N_c$ expectations.

Built on

G. ’t Hooft, Nucl. Phys. B 72
1974
Earlier work this paper cites.
R. Sommer, Nucl. Phys. B 411
1994
Earlier work this paper cites.
C. W. Bernard et al
2000
Earlier work this paper cites.
A. Hasenfratz and F. Knechtli, Phys. Rev. D 64
2001
Earlier work this paper cites.
A. Hasenfratz, R. Hoffmann and S. Schaefer, JHEP 0705
2007
Earlier work this paper cites.
R. Narayanan and H. Neuberger, JHEP 0603
Original
2010
Earlier work this paper cites.
A. Bazavov et al
Original
2010
Earlier work this paper cites.

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R. J. Dowdall, C. T. H. Davies, G. P. Lepage and C. McNeile, Phys. Rev. D 88

2013

Cited alongside, same era.

For a review, see R. Sommer, PoS LATTICE 2013

2014

Cited alongside, same era.

http://www.physics.utah.edu/ ∼ \sim detar/milc/

Cited in the paper.

A. Bazavov et al

2016

Later among the works it cites.

M. Cé, M. García Vera, L. Giusti and S. Schaefer, Phys. Lett. B 762

2016

Later among the works it cites.