Lattice QCD without topology barriers
By M. Luscher, Stefan Schaefer. 2011
270 citations recorded by the source corpus.
As the continuum limit is approached, lattice QCD simulations tend to get trapped in the topological charge sectors of field space and may consequently give biased results in practice. We propose to bypass this problem by imposing open (Neumann) boundary conditions on the gauge field in the time direction. The topological charge can then flow in and out of the lattice, while many properties of the theory (the hadron spectrum, for example) are not affected. Extensive simulations of the SU(3) gauge theory, using the HMC and the closely related SMD algorithm, confirm the absence of topology barriers if these boundary conditions are chosen. Moreover, the calculated autocorrelation times are found to scale approximately like the square of the inverse lattice spacing, thus supporting the conjecture that the HMC algorithm is in the universality class of the Langevin equation.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/7d2244b6d06b7459008297adc1adb75a08a50c7d
How researchers see this paper
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In Nuclear and High Energy Physics
- Rainer Sommer
- Stefan Schaefer
- M. Bruno
- Tomasz Korzec
- Stephen R. Sharpe
- M. Morte
- Jakob Simeth
- M. Papinutto
Citations in the corpus
- Setting the scale for the CLS 2 +1 flavor ensembles (2016, background): “The open boundary conditions of the gauge field configurations do not pose a fundamental problem in the analysis due to the fact that the transfer matrix is not changed [18,19].”
- Scale Setting in Lattice QCD (2014, background): “On the other hand, at finite t the autocorrelations are very much enhanced, see [35, 34, 16].”
- Simulation of QCD with Nf = 2 + 1 flavors of non-perturbatively improved Wilson fermions (2014, methodology): “We find a situation similar to that encountered in pure gauge theory [7].”
- Review of lattice results concerning low-energy particle physics (2016, background): “Open boundary conditions solve the problem [76] but are rarely used.”
- FLAG Review 2019 (2019, background): “Open boundary conditions solve the problem [105] but are not frequently used.”