In $${\mathcal {N}}=1$$ supersymmetric Yang–Mills theory, regularised on a space-time lattice, in addition to the breaking by the gluino mass term, supersymmetry is broken explicitly by the lattice regulator. In addition to the parameter tuning in the theory, the supersymmetric Ward identities can be used as a tool to investigate lattice artefacts as well as to check whether supersymmetry can be recovered in the chiral and continuum limits. In this paper we present the numerical results of an analysis of the supersymmetric Ward identities for our available gauge ensembles at different values of the inverse gauge coupling $$\beta $$ and of the hopping parameter $$\kappa $$ . The results clearly indicate that the lattice artefacts vanish in the continuum limit, confirming the restoration of supersymmetry.
{ "_oai": { "updated": "2020-08-14T01:00:56Z", "id": "oai:repo.scoap3.org:55230", "sets": [ "EPJC" ] }, "authors": [ { "affiliations": [ { "country": "Germany", "value": "Institute for Theoretical Physics, University of M\u00fcnster, Wilhelm-Klemm-Str. 9, M\u00fcnster, 48149, Germany", "organization": "University of M\u00fcnster" }, { "country": "Pakistan", "value": "Department of Physics, Government College University Lahore, Lahore, 54000, Pakistan", "organization": "Government College University Lahore" } ], "surname": "Ali", "email": "sajid.ali@uni-muenster.de", "full_name": "Ali, Sajid", "given_names": "Sajid" }, { "affiliations": [ { "country": "Germany", "value": "Institute for Theoretical Physics, University of M\u00fcnster, Wilhelm-Klemm-Str. 9, M\u00fcnster, 48149, Germany", "organization": "University of M\u00fcnster" }, { "country": "Germany", "value": "Institute for Theoretical Physics, University of Jena, Max-Wien-Platz 1, Jena, 07743, Germany", "organization": "University of Jena" } ], "surname": "Bergner", "email": "georg.bergner@uni-jena.de", "full_name": "Bergner, Georg", "given_names": "Georg" }, { "affiliations": [ { "country": "Germany", "value": "Institute for Theoretical Physics, University of M\u00fcnster, Wilhelm-Klemm-Str. 9, M\u00fcnster, 48149, Germany", "organization": "University of M\u00fcnster" } ], "surname": "Gerber", "email": "henning.gerber@posteo.de", "full_name": "Gerber, Henning", "given_names": "Henning" }, { "affiliations": [ { "country": "Germany", "value": "Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, Hamburg, 22607, Germany", "organization": "Deutsches Elektronen-Synchrotron DESY" } ], "surname": "Montvay", "email": "montvay@mail.desy.de", "full_name": "Montvay, Istvan", "given_names": "Istvan" }, { "affiliations": [ { "country": "Germany", "value": "Institute for Theoretical Physics, University of M\u00fcnster, Wilhelm-Klemm-Str. 9, M\u00fcnster, 48149, Germany", "organization": "University of M\u00fcnster" } ], "surname": "M\u00fcnster", "email": "munsteg@uni-muenster.de", "full_name": "M\u00fcnster, Gernot", "given_names": "Gernot" }, { "affiliations": [ { "country": "Germany", "value": "Institute for Theoretical Physics, University of Regensburg, Universit\u00e4tsstr. 31, Regensburg, 93040, Germany", "organization": "University of Regensburg" } ], "surname": "Piemonte", "email": "stefano.piemonte@ur.de", "full_name": "Piemonte, Stefano", "given_names": "Stefano" }, { "affiliations": [ { "country": "Germany", "value": "Fakult\u00e4t f\u00fcr Physik, Universit\u00e4t Bielefeld, Universit\u00e4tsstr. 25, Bielefeld, 33615, Germany", "organization": "Universit\u00e4t Bielefeld" } ], "surname": "Scior", "email": "scior@physik.uni-bielefeld.de", "full_name": "Scior, Philipp", "given_names": "Philipp" } ], "titles": [ { "source": "Springer", "title": "Continuum extrapolation of Ward identities in $${{\\mathcal {N}}=1}$$ <math><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></math> supersymmetric SU(3) Yang\u2013Mills theory" } ], "dois": [ { "value": "10.1140/epjc/s10052-020-8113-5" } ], "publication_info": [ { "page_end": "7", "journal_title": "European Physical Journal C", "material": "article", "journal_volume": "80", "artid": "s10052-020-8113-5", "year": 2020, "page_start": "1", "journal_issue": "6" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2020-08-14T02:31:00.771350", "source": "Springer", "method": "Springer", "submission_number": "49a9ee70ddc511eab30802163e01809a" }, "page_nr": [ 7 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2020" } ], "control_number": "55230", "record_creation_date": "2020-07-09T13:54:55.508176", "_files": [ { "checksum": "md5:859aa22e067b818d6a1d5c20a965d192", "filetype": "xml", "bucket": "600943a0-d185-4966-a7a5-8acd293b3a51", "version_id": "12946431-4406-4ec7-9fd0-3ffe6b67dfac", "key": "10.1140/epjc/s10052-020-8113-5.xml", "size": 17556 }, { "checksum": "md5:dd785a578c339b205f3d07d204076dbb", "filetype": "pdf/a", "bucket": "600943a0-d185-4966-a7a5-8acd293b3a51", "version_id": "3487f53a-07f3-4f1a-a60a-1d6b6570f8fd", "key": "10.1140/epjc/s10052-020-8113-5_a.pdf", "size": 689475 } ], "collections": [ { "primary": "European Physical Journal C" } ], "abstracts": [ { "source": "Springer", "value": "In $${\\mathcal {N}}=1$$ <math><mrow><mi>N</mi><mo>=</mo><mn>1</mn></mrow></math> supersymmetric Yang\u2013Mills theory, regularised on a space-time lattice, in addition to the breaking by the gluino mass term, supersymmetry is broken explicitly by the lattice regulator. In addition to the parameter tuning in the theory, the supersymmetric Ward identities can be used as a tool to investigate lattice artefacts as well as to check whether supersymmetry can be recovered in the chiral and continuum limits. In this paper we present the numerical results of an analysis of the supersymmetric Ward identities for our available gauge ensembles at different values of the inverse gauge coupling $$\\beta $$ <math><mi>\u03b2</mi></math> and of the hopping parameter $$\\kappa $$ <math><mi>\u03ba</mi></math> . The results clearly indicate that the lattice artefacts vanish in the continuum limit, confirming the restoration of supersymmetry." } ], "imprints": [ { "date": "2020-06-17", "publisher": "Springer" } ] }