Maximum-likelihood approach to topological charge fluctuations in lattice gauge theory



Brower, RC, Cheng, M, Fleming, GT, Lin, MF, Neil, ET, Osborn, JC, Rebbi, C, Rinaldi, E, Schaich, D ORCID: 0000-0002-9826-2951, Schroeder, C
et al (show 4 more authors) (2014) Maximum-likelihood approach to topological charge fluctuations in lattice gauge theory. PHYSICAL REVIEW D, 90 (1). 014503-.

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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.

Item Type: Article
Additional Information: 7 pages, 6 figures. v2: update to published version
Uncontrolled Keywords: hep-lat, hep-lat
Depositing User: Symplectic Admin
Date Deposited: 09 Mar 2020 08:59
Last Modified: 18 Jan 2023 23:58
DOI: 10.1103/PhysRevD.90.014503
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3078196