Maximum-Likelihood Approach to Topological Charge Fluctuations in Lattice Gauge Theory
arXiv:1403.2761 · doi:10.1103/PhysRevD.90.014503
Abstract
We present a novel technique for the determination of the topological susceptibility (related to the variance of the distribution of global topological charge) from lattice gauge theory simulations, based on maximum-likelihood analysis of the Markov-chain Monte Carlo time series. This technique is expected to be particularly useful in situations where relatively few tunneling events are observed. Restriction to a lattice subvolume on which topological charge is not quantized is explored, and may lead to further improvement when the global topology is poorly sampled. We test our proposed method on a set of lattice data, and compare it to traditional methods.
arXiv comment7 pages, 6 figures. v2: update to published version
References in corpus (15)
- Properties and uses of the Wilson flow in lattice QCD
- Expansions for nearly Gaussian distributions
- Lattice QCD without topology barriers
- Finite volume QCD at fixed topological charge
- QCD at Fixed Topology
- 2+1 flavor domain wall QCD on a (2 fm)^3 lattice: light meson spectroscopy with Ls = 16
- Critical slowing down of topological modes
- Hybrid Monte Carlo and topological modes of full QCD
- Precision study of the SU(3) topological susceptibility in the continuum
- Change of theta dependence in 4D SU(N) gauge theories across the deconfinement transition
- Toward TeV Conformality
- Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice
- Theta-dependence of the spectrum of SU(N) gauge theories
- Field theoretical approach to the study of theta dependence in Yang-Mills theories on the lattice
- Local topological and chiral properties of QCD
Cited by in corpus (11)
- FLAG Review 2019
- FLAG Review 2021
- Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory
- FLAG Review 2024
- Topological susceptibility of QCD with dynamical Möbius domain wall fermions
- Lattice QCD on Non-Orientable Manifolds
- Measuring the Topological Susceptibility in a Fixed Sector
- Interpreting Numerical Measurements in Fixed Topological Sectors
- Topological Susceptibility from Slabs
- Extracting hadron masses from fixed topology simulations
- Hadron Physics from Lattice QCD