Fetching the paper…

Reading the bibliography…

2022

Metadynamics Surfing on Topology Barriers in the Schwinger Model

Hoelbling, Christian, Eichhorn, Timo, Rouenhoff, Philip et al.

Original
PDF
Post on X

Understand

Topological freezing is a well known problem in lattice simulations: with shrinking lattice spacing a transition between topological sectors becomes increasingly improbable, leading to a problematic increase of the autocorrelation time regarding several observables.

We present our investigation of metadynamics as a solution for topological freezing in the Schwinger model.
Specifically, we take a closer look at the collective variable and its scaling behaviour, visualize the effects of topological freezing and how metadynamics helps in that respect and explore alternatives for a more efficient building process.
Possible implications for and differences to four-dimensional SU(3) theory are briefly discussed.

Metadynamics Surfing on Topology Barriers in the Schwinger Model · Around

Built on

A.A. Belavin, A.M. Polyakov, A.S. Schwartz and Y.S. Tyupkin, Pseudoparticle Solutions of the Yang-Mills Equations , Phys. Lett. B 59
1975
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.
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.
P. de Forcrand, J.E. Hetrick, T. Takaishi and A.J. van der Sijs, Three topics in the Schwinger model , Nucl. Phys. B Proc. Suppl. 63
1998
Earlier work this paper cites.

Similar

S. Elser, The Local bosonic algorithm applied to the massive Schwinger model , other thesis, 3, 2001, [ hep-lat/0103035 ]
2001
Cited alongside, same era.
L. Del Debbio, G.M. Manca and E. Vicari, Critical slowing down of topological modes , Phys. Lett. B 594
2004
Cited alongside, same era.
A. Barducci, G. Bussi and M. Parrinello, Well-tempered metadynamics: A smoothly converging and tunable free-energy method , Physical Review Letters 100
2008
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.

Then

S. Durr, Physics of η ′ \eta^{\prime} with rooted staggered quarks , Phys. Rev. D 85
Original
2012
Later among the works it cites.
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
Later among the works it cites.
T. Eichhorn and C. Hoelbling, Comparison of topology changing update algorithms , PoS LATTICE2021
Original
2022
Closest in time.
T. Eichhorn, C. Hoelbling, P. Rouenhoff and L. Varnhorst, Topology changing update algorithms for SU(3) gauge theory , in 39th International Symposium on Lattice Field Theory , 10, 2022 [ 2210.11453 ]
Original
2022
Closest in time.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…