Topological Susceptibility from Slabs

Abstract

In quantum field theories with topological sectors, a non-perturbative quantity of interest is the topological susceptibility chi_t. In principle it seems straightforward to measure chi_t by means of Monte Carlo simulations. However, for local update algorithms and fine lattice spacings, this tends to be difficult, since the Monte Carlo history rarely changes the topological sector. Here we test a method to measure chi_t even if data from only one sector are available. It is based on the topological charges in sub-volumes, which we denote as slabs. Assuming a Gaussian distribution of these charges, this method enables the evaluation of chi_t, as we demonstrate with numerical results for non-linear sigma-models.

23 pages, 8 figures, 6 tables

References in corpus (6)

• Finite volume QCD at fixed topological charge
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• Topological Lattice Actions
• Measuring the Topological Susceptibility in a Fixed Sector
• Extracting hadron masses from fixed topology simulations
• Topology density correlator on dynamical domain-wall ensembles with nearly frozen topological charge

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• Interpreting Numerical Measurements in Fixed Topological Sectors
• Recent progress on QCD inputs for axion phenomenology
• Hadron Physics from Lattice QCD
• Lattice QCD at nonzero temperature and density
• Topological susceptibility in 2+1-flavor QCD with chiral fermions
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory
• A Fluctuation Theory of Topological Susceptibility