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From the Density-of-states Method to Finite Density Quantum Field Theory / K. Langfeld; B. Lucini

Acta Physica Polonica B Proceedings Supplement, Volume: 9, Issue: 3, Start page: 503

Swansea University Author: Lucini, Biagio

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DOI (Published version): 10.5506/APhysPolBSupp.9.503

Abstract

During the last 40 years, Monte Carlo calculations based upon Importance Sampling have matured into the most widely employed method for determinig first principle results in QCD. Nevertheless, Importance Sampling leads to spectacular failures in situations in which certain rare configurations play a...

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Published in: Acta Physica Polonica B Proceedings Supplement
ISSN: 1899-2358 2082-7865
Published: 2016
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Abstract: During the last 40 years, Monte Carlo calculations based upon Importance Sampling have matured into the most widely employed method for determinig first principle results in QCD. Nevertheless, Importance Sampling leads to spectacular failures in situations in which certain rare configurations play a non-secondary role as it is the case for Yang-Mills theories near a first order phase transition or quantum field theories at finite matter density when studied with the re-weighting method. The density-of-states method in its LLR formulation has the potential to solve such overlap or sign problems by means of an exponential error suppression. We here introduce the LLR approach and its generalisation to complex action systems. Applications include U(1), SU(2) and SU(3) gauge theories as well as the Z3 spin model at finite densities and heavy-dense
College: College of Science
Issue: 3
Start Page: 503