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A multilevel algorithm for flow observables in gauge theories · Around

2016

A multilevel algorithm for flow observables in gauge theories

Vera, Miguel García, Schaefer, Stefan

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We study the possibility of using multilevel algorithms for the computation of correlation functions of gradient flow observables.

For each point in the correlation function an approximate flow is defined which depends only on links in a subset of the lattice.
Together with a local action this allows for independent updates and consequently a convergence of the Monte Carlo process faster than the inverse square root of the number of measurements.
We demonstrate the feasibility of this idea in the correlation functions of the topological charge and the energy density.

Built on

N. Cabibbo and E. Marinari, A New Method for Updating SU(N) Matrices in Computer Simulations of Gauge Theories
1982
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G. Parisi, R. Petronzio, and F. Rapuano, A Measurement of the String Tension Near the Continuum Limit
1983
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G. Parisi, The Strategy for Computing the Hadronic Mass Spectrum
1984
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F. R. Brown and T. J. Woch, Overrelaxed Heat Bath and Metropolis Algorithms for Accelerating Pure Gauge Monte Carlo Calculations
1987
Earlier work this paper cites.
M. Lüscher and P. Weisz, Locality and exponential error reduction in numerical lattice gauge theory
2001
Earlier work this paper cites.

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Then

M. Lüscher and S. Schaefer, Lattice QCD without topology barriers
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2011
Later among the works it cites.
M. Lüscher, Properties and uses of the Wilson flow in lattice QCD
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2014
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A. Chowdhury, A. Harindranath, and J. Maiti, Open Boundary Condition, Wilson Flow and the Scalar Glueball Mass
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M. Cè, C. Consonni, G. P. Engel, and L. Giusti, Non-Gaussianities in the topological charge distribution of the SU(3) Yang–Mills theory
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