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From the Density-of-states Method to Finite Density Quantum Field Theory

K. Langfeld, B. Lucini, Biagio Lucini Orcid Logo

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

Swansea University Author: Biagio Lucini Orcid Logo

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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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URI: https://cronfa.swan.ac.uk/Record/cronfa32146
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last_indexed 2018-02-09T05:19:45Z
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spelling 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 SMA 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 COLLEGE CODE SMA 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
author_id_str_mv 7e6fcfe060e07a351090e2a8aba363cf
author_id_fullname_str_mv 7e6fcfe060e07a351090e2a8aba363cf_***_Biagio Lucini
author Biagio Lucini
author2 K. Langfeld
B. Lucini
Biagio Lucini
format Journal article
container_title Acta Physica Polonica B Proceedings Supplement
container_volume 9
container_issue 3
container_start_page 503
publishDate 2016
institution Swansea University
issn 1899-2358
2082-7865
doi_str_mv 10.5506/APhysPolBSupp.9.503
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url 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 2016-06-30T03:39:20Z
_version_ 1763751766724182016
score 11.013148

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