Built on

S. A. Gottlieb, W. Liu, D. Toussaint, R. L. Renken and R. L. Sugar, “Hybrid Molecular Dynamics Algorithms for the Numerical Simulation of Quantum Chromodynamics,” Phys. Rev. D 35
1987
Earlier work this paper cites.
T. Takaishi, “Heavy quark potential and effective actions on blocked configurations,” Phys. Rev. D 54
1996
Earlier work this paper cites.
P. de Forcrand, M. Garcia Perez and I. -O. Stamatescu, “Topology of the SU(2) vacuum: A Lattice study using improved cooling,” Nucl. Phys. B 499
1997
Earlier work this paper cites.
L. Del Debbio, H. Panagopoulos and E. Vicari, “ θ \theta dependence of SU(N) gauge theories,” JHEP 0208
2002
Earlier work this paper cites.
Y. Aoki, T. Blum, N. Christ, C. Cristian, C. Dawson, T. Izubuchi, G. Liu and R. Mawhinney et al
2004
Earlier work this paper cites.
S. Necco, “Universality and scaling behavior of RG gauge actions,” Nucl. Phys. B 683
2004
Earlier work this paper cites.

Similar

H. B. Meyer, H. Simma, R. Sommer, M. Della Morte, O. Witzel and U. Wolff, “Exploring the HMC trajectory-length dependence of autocorrelation times in lattice QCD,” Comput. Phys. Commun. 176
2007
Cited alongside, same era.
M. Lüscher, “Topology, the Wilson flow and the HMC algorithm,” PoS LATTICE 2010
Original
2010
Cited alongside, same era.
S. Schaefer et al
Original
2011
Cited alongside, same era.
M. Lüscher and S. Schaefer, “Lattice QCD without topology barriers,” JHEP 1107
Original
2011
Cited alongside, same era.
M. A. Clark, B. Joo, A. D. Kennedy and P. J. Silva, “Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator,” Phys. Rev. D 84

Then

H. Yin and R. D. Mawhinney, “Improving DWF Simulations: the Force Gradient Integrator and the Möbius Accelerated DWF Solver,” PoS LATTICE 2011
Original
2011
Later among the works it cites.
G. McGlynn and R. D. Mawhinney, “Scaling, topological tunneling and actions for weak coupling DWF calculations,” PoS Lattice 2013
Original
2013
Later among the works it cites.
M. Bruno and R. Sommer, “On the N f N_{f} -dependence of gluonic observables,” PoS LATTICE 2013
Original
2013
Later among the works it cites.
A. Chowdhury, A. Harindranath, J. Maiti and P. Majumdar, “Topological susceptibility in lattice Yang-Mills theory with open boundary condition,” JHEP 1402
Original
2014
Closest in time.
M. Lüscher, “Properties and uses of the Wilson flow in lattice QCD,” JHEP 1008

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2014

Diffusion of topological charge in lattice QCD simulations

McGlynn, Greg, Mawhinney, Robert D.

Understand

We study the autocorrelations of observables constructed from the topological charge density, such as the topological charge on a time slice or in a subvolume, using a series of hybrid Monte Carlo simulations of pure SU(3) gauge theory with both periodic and open boundary conditions.

We show that the autocorrelation functions of these observables obey a simple diffusion equation and we measure the diffusion coefficient, finding that it scales like the square of the lattice spacing.
We use this result and measurements of the rate of tunneling between topological charge sectors to calculate the scaling behavior of the autocorrelation times of these observables on periodic and open lattices.
There is a characteristic lattice spacing at which open boundary conditions become worthwhile for reducing autocorrelations and we show how this lattice spacing is related to the diffusion coefficient, the tunneling rate, and the lattice Euclidean time extent.

Built on

S. A. Gottlieb, W. Liu, D. Toussaint, R. L. Renken and R. L. Sugar, “Hybrid Molecular Dynamics Algorithms for the Numerical Simulation of Quantum Chromodynamics,” Phys. Rev. D 35
1987
Earlier work this paper cites.
T. Takaishi, “Heavy quark potential and effective actions on blocked configurations,” Phys. Rev. D 54
1996
Earlier work this paper cites.
P. de Forcrand, M. Garcia Perez and I. -O. Stamatescu, “Topology of the SU(2) vacuum: A Lattice study using improved cooling,” Nucl. Phys. B 499
1997
Earlier work this paper cites.
L. Del Debbio, H. Panagopoulos and E. Vicari, “ θ \theta dependence of SU(N) gauge theories,” JHEP 0208
2002
Earlier work this paper cites.
Y. Aoki, T. Blum, N. Christ, C. Cristian, C. Dawson, T. Izubuchi, G. Liu and R. Mawhinney et al
2004
Earlier work this paper cites.
S. Necco, “Universality and scaling behavior of RG gauge actions,” Nucl. Phys. B 683
2004
Earlier work this paper cites.

Similar

H. B. Meyer, H. Simma, R. Sommer, M. Della Morte, O. Witzel and U. Wolff, “Exploring the HMC trajectory-length dependence of autocorrelation times in lattice QCD,” Comput. Phys. Commun. 176
2007
Cited alongside, same era.
M. Lüscher, “Topology, the Wilson flow and the HMC algorithm,” PoS LATTICE 2010
Original
2010
Cited alongside, same era.
S. Schaefer et al
Original
2011
Cited alongside, same era.
M. Lüscher and S. Schaefer, “Lattice QCD without topology barriers,” JHEP 1107
Original
2011
Cited alongside, same era.
M. A. Clark, B. Joo, A. D. Kennedy and P. J. Silva, “Improving dynamical lattice QCD simulations through integrator tuning using Poisson brackets and a force-gradient integrator,” Phys. Rev. D 84

Then

H. Yin and R. D. Mawhinney, “Improving DWF Simulations: the Force Gradient Integrator and the Möbius Accelerated DWF Solver,” PoS LATTICE 2011
Original
2011
Later among the works it cites.
G. McGlynn and R. D. Mawhinney, “Scaling, topological tunneling and actions for weak coupling DWF calculations,” PoS Lattice 2013
Original
2013
Later among the works it cites.
M. Bruno and R. Sommer, “On the N f N_{f} -dependence of gluonic observables,” PoS LATTICE 2013
Original
2013
Later among the works it cites.
A. Chowdhury, A. Harindranath, J. Maiti and P. Majumdar, “Topological susceptibility in lattice Yang-Mills theory with open boundary condition,” JHEP 1402
Original
2014
Closest in time.
M. Lüscher, “Properties and uses of the Wilson flow in lattice QCD,” JHEP 1008

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Original

2011

Cited alongside, same era.

M. Lüscher, “Step scaling and the Yang-Mills gradient flow,” arXiv:1404.5930 [hep-lat]

Original

Cited in the paper.

Original

2014

Closest in time.