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dc.contributor.authorLucini, B
dc.contributor.authorFrancesconi, O
dc.contributor.authorHolzmann, M
dc.contributor.authorLancaster, D
dc.contributor.authorRago, A
dc.date.accessioned2022-04-25T11:41:51Z
dc.date.available2022-04-25T11:41:51Z
dc.date.issued2022-03-28
dc.identifier.issn1742-6588
dc.identifier.issn1742-6596
dc.identifier.other012052
dc.identifier.urihttp://hdl.handle.net/10026.1/19068
dc.description.abstract

<jats:title>Abstract</jats:title> <jats:p>The Logarithmic Linear Relaxation (LLR) algorithm is an efficient method for computing densities of states for systems with a continuous spectrum. A key feature of this method is exponential error reduction, which allows us to evaluate the density of states of a system over hundreds of thousands of orders of magnitude with a fixed level of relative accuracy. As a consequence of exponential error reduction, the LLR method provides a robust alternative to traditional Monte Carlo calculations in cases in which states suppressed by the Boltzmann weight play nevertheless a relevant role, e.g., as transition regions between dominant configuration sets. After reviewing the algorithm, we will show an application in U(1) Lattice Gauge Theory that has enabled us to obtain the most accurate estimate of the critical coupling with modest computational resources, defeating exponential tunneling times between metastable vacua. As a further showcase, we will then present an application of the LLR method to the decorrelation of the topological charge in SU(3) Lattice Gauge Theory near the continuum limit. Finally, we will review in general applications of the LLR algorithm to systems affected by a strong sign problem and discuss the case of the Bose gas at finite chemical potential.</jats:p>

dc.format.extent012052-012052
dc.language.isoen
dc.publisherIOP Publishing
dc.subject51 Physical Sciences
dc.titleEfficient computations of continuous action densities of states for lattice models
dc.typejournal-article
dc.typeConference Proceeding
plymouth.issue1
plymouth.volume2207
plymouth.publisher-urlhttp://dx.doi.org/10.1088/1742-6596/2207/1/012052
plymouth.publication-statusPublished
plymouth.journalJournal of Physics: Conference Series
dc.identifier.doi10.1088/1742-6596/2207/1/012052
plymouth.organisational-group/Plymouth
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering
plymouth.organisational-group/Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics
plymouth.organisational-group/Plymouth/Users by role
plymouth.organisational-group/Plymouth/Users by role/Academics
plymouth.organisational-group/Plymouth/Users by role/Researchers in ResearchFish submission
dcterms.dateAccepted2021-10-30
dc.rights.embargodate2022-4-30
dc.identifier.eissn1742-6596
dc.rights.embargoperiodNot known
rioxxterms.versionofrecord10.1088/1742-6596/2207/1/012052
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeJournal Article/Review


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