Built on

C. Bonati and P. Rossi, Topological susceptibility of two-dimensional U ⁡ ( N ) U(N) gauge theories , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
C. Bonati and P. Rossi, Topological effects in continuum two-dimensional U ⁡ ( N ) U(N) gauge theories , Phys. Rev. D 100
Original
1908
Earlier work this paper cites.
F. Fucito and S. Solomon, DOES STANDARD MONTE CARLO GIVE JUSTICE TO INSTANTONS? , Phys. Lett. B 134
1984
Earlier work this paper cites.
J. Smit and J.C. Vink, Remnants of the Index Theorem on the Lattice , Nucl. Phys. B 286
1987
Earlier work this paper cites.
T.G. Kovacs, E.T. Tomboulis and Z. Schram, Topology on the lattice: 2-d Yang-Mills theories with a theta term , Nucl. Phys. B 454
1995
Earlier work this paper cites.
H. Dilger, Topological zero modes in Monte Carlo simulations , Int. J. Mod. Phys. C 6
1995
Earlier work this paper cites.
B. Alles, G. Boyd, M. D’Elia, A. Di Giacomo and E. Vicari, Hybrid Monte Carlo and topological modes of full QCD , Phys. Lett. B 389
1996
Earlier work this paper cites.
S. Elser, The Local bosonic algorithm applied to the massive Schwinger model , other thesis, 3, 2001, [ hep-lat/0103035 ]
2001
Earlier work this paper cites.
L. Del Debbio, H. Panagopoulos and E. Vicari, theta dependence of SU(N) gauge theories , JHEP 08
2002
Earlier work this paper cites.

Similar

A. Laio and M. Parrinello, Escaping free-energy minima , Proceedings of the National Academy of Sciences 99
2002
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D.B. Leinweber, A.G. Williams, J.-b. Zhang and F.X. Lee, Topological charge barrier in the Markov chain of QCD , Phys. Lett. B 585
2004
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G. Bussi, A. Laio and M. Parrinello, Equilibrium free energies from nonequilibrium metadynamics , Phys. Rev. Lett. 96
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Cited alongside, same era.
S. Schaefer, R. Sommer and F. Virotta, Investigating the critical slowing down of QCD simulations , PoS LAT2009
Original
2009
Cited alongside, same era.
M. Luscher, Trivializing maps, the Wilson flow and the HMC algorithm , Commun. Math. Phys. 293
Original
2010
Cited alongside, same era.

Then

W. Detmold and M.G. Endres, Multiscale Monte Carlo equilibration: Two-color QCD with two fermion flavors , Phys. Rev. D 94
Original
2016
Later among the works it cites.
W. Detmold and M.G. Endres, Scaling properties of multiscale equilibration , Phys. Rev. D 97
Original
2018
Later among the works it cites.
C. Bonati, M. D’Elia, G. Martinelli, F. Negro, F. Sanfilippo and A. Todaro, Topology in full QCD at high temperature: a multicanonical approach , JHEP 11
Original
2018
Later among the works it cites.
D. Albandea, P. Hernández, A. Ramos and F. Romero-López, Topological sampling through windings , Eur. Phys. J. C 81
Original
2021
Closest in time.
S. Durr and J.H. Weber, Minimally doubled fermions and topology in 2D , in 38th International Symposium on Lattice Field Theory , 8, 2021 [ 2108.11766 ]

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2021

Comparison of topology changing update algorithms

Eichhorn, Timo, Hoelbling, Christian

Understand

In modern lattice simulations, conventional update algorithms do not allow for tunneling between topological sectors at fine lattice spacings.

We compare the viability of multiple less commonly used algorithms (metadynamics, instanton updates, and multiscale thermalization) with respect to proper sampling of all topological sectors in the Schwinger model.
We briefly comment on the prospects of applying these methods to 4-dimensional SU(3) simulations.

Built on

C. Bonati and P. Rossi, Topological susceptibility of two-dimensional U ⁡ ( N ) U(N) gauge theories , Phys. Rev. D 99
Original
1901
Earlier work this paper cites.
C. Bonati and P. Rossi, Topological effects in continuum two-dimensional U ⁡ ( N ) U(N) gauge theories , Phys. Rev. D 100
Original
1908
Earlier work this paper cites.
F. Fucito and S. Solomon, DOES STANDARD MONTE CARLO GIVE JUSTICE TO INSTANTONS? , Phys. Lett. B 134
1984
Earlier work this paper cites.
J. Smit and J.C. Vink, Remnants of the Index Theorem on the Lattice , Nucl. Phys. B 286
1987
Earlier work this paper cites.
T.G. Kovacs, E.T. Tomboulis and Z. Schram, Topology on the lattice: 2-d Yang-Mills theories with a theta term , Nucl. Phys. B 454
1995
Earlier work this paper cites.
H. Dilger, Topological zero modes in Monte Carlo simulations , Int. J. Mod. Phys. C 6
1995
Earlier work this paper cites.
B. Alles, G. Boyd, M. D’Elia, A. Di Giacomo and E. Vicari, Hybrid Monte Carlo and topological modes of full QCD , Phys. Lett. B 389
1996
Earlier work this paper cites.
S. Elser, The Local bosonic algorithm applied to the massive Schwinger model , other thesis, 3, 2001, [ hep-lat/0103035 ]
2001
Earlier work this paper cites.
L. Del Debbio, H. Panagopoulos and E. Vicari, theta dependence of SU(N) gauge theories , JHEP 08
2002
Earlier work this paper cites.

Similar

A. Laio and M. Parrinello, Escaping free-energy minima , Proceedings of the National Academy of Sciences 99
2002
Cited alongside, same era.
D.B. Leinweber, A.G. Williams, J.-b. Zhang and F.X. Lee, Topological charge barrier in the Markov chain of QCD , Phys. Lett. B 585
2004
Cited alongside, same era.
G. Bussi, A. Laio and M. Parrinello, Equilibrium free energies from nonequilibrium metadynamics , Phys. Rev. Lett. 96
2006
Cited alongside, same era.
S. Schaefer, R. Sommer and F. Virotta, Investigating the critical slowing down of QCD simulations , PoS LAT2009
Original
2009
Cited alongside, same era.
M. Luscher, Trivializing maps, the Wilson flow and the HMC algorithm , Commun. Math. Phys. 293
Original
2010
Cited alongside, same era.

Then

W. Detmold and M.G. Endres, Multiscale Monte Carlo equilibration: Two-color QCD with two fermion flavors , Phys. Rev. D 94
Original
2016
Later among the works it cites.
W. Detmold and M.G. Endres, Scaling properties of multiscale equilibration , Phys. Rev. D 97
Original
2018
Later among the works it cites.
C. Bonati, M. D’Elia, G. Martinelli, F. Negro, F. Sanfilippo and A. Todaro, Topology in full QCD at high temperature: a multicanonical approach , JHEP 11
Original
2018
Later among the works it cites.
D. Albandea, P. Hernández, A. Ramos and F. Romero-López, Topological sampling through windings , Eur. Phys. J. C 81
Original
2021
Closest in time.
S. Durr and J.H. Weber, Minimally doubled fermions and topology in 2D , in 38th International Symposium on Lattice Field Theory , 8, 2021 [ 2108.11766 ]

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

S. Durr, Physics of η ′ \eta^{\prime} with rooted staggered quarks , Phys. Rev. D 85

Original

2012

Cited alongside, same era.

M.G. Endres, R.C. Brower, W. Detmold, K. Orginos and A.V. Pochinsky, Multiscale Monte Carlo equilibration: Pure Yang-Mills theory , Phys. Rev. D 92

Original

2015

Cited alongside, same era.

A. Laio, G. Martinelli and F. Sanfilippo, Metadynamics surfing on topology barriers: the C P N − 1 CP^{N-1} case , JHEP 07

Original

2016

Cited alongside, same era.

Original

2021

Closest in time.

F.J. Frech, Hadronic vacuum polarization from step scaling in the Schwinger model , in 38th International Symposium on Lattice Field Theory , vol. LAT2021, p. 218, 2021

2021

Closest in time.

S. Foreman, X.-Y. Jin and J.C. Osborn, LeapfrogLayers: A Trainable Framework for Effective Topological Sampling , in 38th International Symposium on Lattice Field Theory , 12, 2021 [ 2112.01582 ]

Original

2021

Closest in time.

G. Cossu, D. Lancastera, B. Lucini, R. Pellegrini and A. Rago, Ergodic sampling of the topological charge using the density of states , Eur. Phys. J. C 81

Original

2021

Closest in time.