Lattice QCD without topology barriers

Lüscher, Martin; Schaefer, Stefan

doi:10.1007/jhep07(2011)036

Cited by 248 publications

(262 citation statements)

References 33 publications

Supporting

Mentioning

258

Contrasting

Order By: Relevance

“…Such an obstruction could be overcome by the development of new MonteCarlo algorithms. Proposals in this respect have been made in the past [77,78] and some new strategies have been put forward quite recently [79,80]. In view of the exploration of higher temperatures, one should also consider the inclusion of dynamical charm quarks.…”

Section: Jhep03(2016)155mentioning

confidence: 99%

Axion phenomenology and θ-dependence from N f = 2 + 1 lattice QCD

Bonati

D’Elia

Mariti

et al. 2016

J. High Energ. Phys.

180

218

View full text Add to dashboard Cite

We investigate the topological properties of N f = 2 + 1 QCD with physical quark masses, both at zero and finite temperature. We adopt stout improved staggered fermions and explore a range of lattice spacings a ∼ 0.05− 0.12 fm. At zero temperature we estimate both finite size and finite cut-off effects, comparing our continuum extrapolated results for the topological susceptibility χ with predictions from chiral perturbation theory. At finite temperature, we explore a region going from T c up to around 4 T c , where we provide continuum extrapolated results for the topological susceptibility and for the fourth moment of the topological charge distribution. While the latter converges to the dilute instanton gas prediction the former differs strongly both in the size and in the temperature dependence. This results in a shift of the axion dark matter window of almost one order of magnitude with respect to the instanton computation.

show abstract

Section: Jhep03(2016)155mentioning

confidence: 99%

Axion phenomenology and θ-dependence from N f = 2 + 1 lattice QCD

Bonati

D’Elia

Mariti

et al. 2016

J. High Energ. Phys.

180

218

View full text Add to dashboard Cite

show abstract

“…The infamous problem of topology freezing that affects large volume simulations [20,21], has recently been shown to also affect step scaling studies [22,23]. To overcome this problem it has been proposed [23] to use a setup with mixed boundary conditions.…”

Section: Msmentioning

confidence: 99%

The gradient flow running coupling with twisted boundary conditions

Ramos

2014

J. High Energ. Phys.

View full text Add to dashboard Cite

We study the gradient flow for Yang-Mills theories with twisted boundary conditions. The perturbative behavior of the energy density E(t) is used to define a running coupling at a scale given by the linear size of the finite volume box. We compute the non-perturbative running of the pure gauge SU(2) coupling constant and conclude that the technique is well suited for further applications due to the relatively mild cutoff effects of the step scaling function and the high numerical precision that can be achieved in lattice simulations. We also comment on the inclusion of matter fields.

show abstract

“…In [6] evidence was given that when open boundary conditions are used the integrated autocorrelation time of the topological charge increases like 1/a 2 as a → 0, which is a much slower increase than expected from periodic boundary conditions. This suggested that open boundary conditions can produce a dramatic speedup of the topological charge in QCD simulations.…”

Section: Introductionmentioning

confidence: 99%

“…In order to get around this it has been proposed to switch from periodic boundary conditions to "open" boundary conditions on the gauge field for the Euclidean time direction [6]. In [6] evidence was given that when open boundary conditions are used the integrated autocorrelation time of the topological charge increases like 1/a 2 as a → 0, which is a much slower increase than expected from periodic boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

“…In [6] only open boundary conditions were simulated, so there was no direct comparison to periodic boundary conditions. In addition to performing this raw numerical comparison we are able to develop a mathematical model of autocorrelation times of topological observables which provides insight into how topological charge moves around the lattice and explains when open boundary conditions are useful for reducing autocorrelations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Diffusion of topological charge and scaling of autocorrelation times in hybrid Monte Carlo simulations of lattice QCD

McGlynn¹,

Mawhinney²

2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

View full text Add to dashboard Cite

We determine the scaling behavior of the autocorrelation times of observables constructed from the topological charge density on lattices with periodic and open boundary conditions using a series of high-statistics numerical simulations. The autocorrelation functions of such observables turn out to obey a simple differential equation which allows the motion of topological charge in hybrid Monte Carlo simulations to be understood in terms of only two processes: diffusion and tunneling. 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 constant, the tunneling rate, and the lattice Euclidean time extent. The subject of this talk was treated in more detail in a paper recently published by the authors [1].

show abstract

Lattice QCD without topology barriers

Cited by 248 publications

References 33 publications

Axion phenomenology and θ-dependence from N f = 2 + 1 lattice QCD

Axion phenomenology and θ-dependence from N f = 2 + 1 lattice QCD

The gradient flow running coupling with twisted boundary conditions

Diffusion of topological charge and scaling of autocorrelation times in hybrid Monte Carlo simulations of lattice QCD

Contact Info

Product

Resources

About