We present Monte Carlo calculations of the thermodynamics of the ()-dimensional Thirring model at finite density. We bypass the sign problem by deforming the domain of integration of the path integral into complex space in such a way as to maximize the average sign within a parameterized family of manifolds. We present results for lattice sizes up to and we find that at high densities and/or temperatures the chiral condensate is abruptly reduced.
{ "_oai": { "updated": "2022-03-04T10:43:52Z", "id": "oai:repo.scoap3.org:43403", "sets": [ "PRL" ] }, "authors": [ { "raw_name": "Andrei Alexandru", "affiliations": [ { "country": "USA", "value": "Department of Physics, The George Washington University, Washington, D.C. 20052, USA" }, { "country": "USA", "value": "Department of Physics, University of Maryland, College Park, Maryland 20742, USA" } ], "surname": "Alexandru", "given_names": "Andrei", "full_name": "Alexandru, Andrei" }, { "raw_name": "Paulo F. Bedaque", "affiliations": [ { "country": "USA", "value": "Department of Physics, University of Maryland, College Park, Maryland 20742, USA" } ], "surname": "Bedaque", "given_names": "Paulo F.", "full_name": "Bedaque, Paulo F." }, { "raw_name": "Henry Lamm", "affiliations": [ { "country": "USA", "value": "Department of Physics, University of Maryland, College Park, Maryland 20742, USA" } ], "surname": "Lamm", "given_names": "Henry", "full_name": "Lamm, Henry" }, { "raw_name": "Scott Lawrence", "affiliations": [ { "country": "USA", "value": "Department of Physics, University of Maryland, College Park, Maryland 20742, USA" } ], "surname": "Lawrence", "given_names": "Scott", "full_name": "Lawrence, Scott" }, { "raw_name": "Neill C. Warrington", "affiliations": [ { "country": "USA", "value": "Department of Physics, University of Maryland, College Park, Maryland 20742, USA" } ], "surname": "Warrington", "given_names": "Neill C.", "full_name": "Warrington, Neill C." } ], "titles": [ { "source": "APS", "title": "Fermions at Finite Density in <math><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math> Dimensions with Sign-Optimized Manifolds" } ], "dois": [ { "value": "10.1103/PhysRevLett.121.191602" } ], "publication_info": [ { "journal_volume": "121", "journal_title": "Physical Review Letters", "material": "article", "journal_issue": "19", "year": 2018 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2020-06-29T15:31:49.573925", "source": "APS", "method": "APS", "submission_number": "bca49440b8c511eaad8602163e01809a" }, "page_nr": [ 5 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2018" } ], "control_number": "43403", "record_creation_date": "2018-11-09T16:10:04.961456", "_files": [ { "checksum": "md5:22320b3deff9e419fce46cfa1fabfb2d", "filetype": "pdf", "bucket": "ceca4ead-dfa9-445f-b02d-e976228aa31d", "version_id": "a54700f7-b185-4b30-9e16-db62e31b343a", "key": "10.1103/PhysRevLett.121.191602.pdf", "size": 527360 }, { "checksum": "md5:1a1c731cf18f6be67bd5f83c162959c0", "filetype": "xml", "bucket": "ceca4ead-dfa9-445f-b02d-e976228aa31d", "version_id": "98b10999-f98f-43a3-9cf5-398116c6508e", "key": "10.1103/PhysRevLett.121.191602.xml", "size": 110971 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-lat", "cond-mat.stat-mech", "cond-mat.str-el" ], "value": "1808.09799" } ], "abstracts": [ { "source": "APS", "value": "We present Monte Carlo calculations of the thermodynamics of the (<math><mrow><mn>2</mn><mo>+</mo><mn>1</mn></mrow></math>)-dimensional Thirring model at finite density. We bypass the sign problem by deforming the domain of integration of the path integral into complex space in such a way as to maximize the average sign within a parameterized family of manifolds. We present results for lattice sizes up to <math><mn>1</mn><msup><mn>0</mn><mn>3</mn></msup></math> and we find that at high densities and/or temperatures the chiral condensate is abruptly reduced." } ], "imprints": [ { "date": "2018-11-09", "publisher": "APS" } ] }