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From the Density-of-states Method to Finite Density Quantum Field Theory
Acta Physica Polonica B Proceedings Supplement, Volume: 9, Issue: 3, Start page: 503
Swansea University Author: Biagio Lucini
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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...
Published in: | Acta Physica Polonica B Proceedings Supplement |
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ISSN: | 1899-2358 2082-7865 |
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2016
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URI: | https://cronfa.swan.ac.uk/Record/cronfa32146 |
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2017-03-13T10:51:17.6649673 v2 32146 2017-02-27 From the Density-of-states Method to Finite Density Quantum Field Theory 7e6fcfe060e07a351090e2a8aba363cf 0000-0001-8974-8266 Biagio Lucini Biagio Lucini true false 2017-02-27 MACS 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 Journal Article Acta Physica Polonica B Proceedings Supplement 9 3 503 1899-2358 2082-7865 30 6 2016 2016-06-30 10.5506/APhysPolBSupp.9.503 http://inspirehep.net/record/1469077 COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University 2017-03-13T10:51:17.6649673 2017-02-27T20:40:34.6386474 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics K. Langfeld 1 B. Lucini 2 Biagio Lucini 0000-0001-8974-8266 3 0032146-13032017104826.pdf s9p0503.pdf 2017-03-13T10:48:26.5470000 Output 2020052 application/pdf Version of Record true 2016-07-21T00:00:00.0000000 true eng |
title |
From the Density-of-states Method to Finite Density Quantum Field Theory |
spellingShingle |
From the Density-of-states Method to Finite Density Quantum Field Theory Biagio Lucini |
title_short |
From the Density-of-states Method to Finite Density Quantum Field Theory |
title_full |
From the Density-of-states Method to Finite Density Quantum Field Theory |
title_fullStr |
From the Density-of-states Method to Finite Density Quantum Field Theory |
title_full_unstemmed |
From the Density-of-states Method to Finite Density Quantum Field Theory |
title_sort |
From the Density-of-states Method to Finite Density Quantum Field Theory |
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7e6fcfe060e07a351090e2a8aba363cf |
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7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini |
author |
Biagio Lucini |
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K. Langfeld B. Lucini Biagio Lucini |
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Journal article |
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Acta Physica Polonica B Proceedings Supplement |
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9 |
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503 |
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2016 |
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Swansea University |
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1899-2358 2082-7865 |
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10.5506/APhysPolBSupp.9.503 |
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Faculty of Science and Engineering |
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School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics |
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http://inspirehep.net/record/1469077 |
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description |
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 |
published_date |
2016-06-30T01:15:32Z |
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11.04748 |