Two-dimensional QCD with colors and flavors of massless fermions in the fundamental representation is expected to exhibit conformal behavior in the infrared governed by a Wess–Zumino–Witten model with level . Using numerical analysis within the lattice formalism with exactly massless overlap fermions, we show the emergence of such behavior in the infrared limit. Both the continuum extrapolated low-lying eigenvalues of the massless Dirac operator and the propagator of scalar mesons exhibit a flow from the ultraviolet to the infrared. We find that the amplitude of the conserved current correlator remains invariant under the flow, while the amplitude of the scalar correlator approaches -independent values in the infrared.
{ "_oai": { "updated": "2024-03-13T00:30:16Z", "id": "oai:repo.scoap3.org:83996", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "Nikhil Karthik", "affiliations": [ { "country": "USA", "value": "American Physical Society, Hauppauge, New York 11788, USA and Department of Physics, Florida International University, Miami, Florida 33199, USA" } ], "surname": "Karthik", "given_names": "Nikhil", "full_name": "Karthik, Nikhil" }, { "raw_name": "Rajamani Narayanan", "affiliations": [ { "country": "USA", "value": "Department of Physics, Florida International University, Miami, Florida 33199, USA" } ], "surname": "Narayanan", "given_names": "Rajamani", "full_name": "Narayanan, Rajamani" }, { "raw_name": "Sruthi A. Narayanan", "affiliations": [ { "country": "Canada", "value": "Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada" } ], "surname": "Narayanan", "given_names": "Sruthi A.", "full_name": "Narayanan, Sruthi A." } ], "titles": [ { "source": "APS", "title": "Approaching the conformal WZW behavior in the infrared limit of two-dimensional massless QCD: A lattice study" } ], "dois": [ { "value": "10.1103/PhysRevD.109.054502" } ], "publication_info": [ { "journal_volume": "109", "journal_title": "Physical Review D", "material": "article", "journal_issue": "5", "year": 2024 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2024-03-13T00:30:12.681680", "source": "APS", "method": "APS", "submission_number": "d3734040e0d011eea49c8e4864f4776e" }, "page_nr": [ 9 ], "license": [ { "url": "https://creativecommons.org/licenses/by/4.0/", "license": "CC-BY-4.0" } ], "copyright": [ { "statement": "Published by the American Physical Society", "year": "2024" } ], "control_number": "83996", "record_creation_date": "2024-03-12T14:30:07.850156", "_files": [ { "checksum": "md5:7bf4ac92138da10443228c08ddf9fc3a", "filetype": "pdf", "bucket": "4688a388-4e68-49c5-93be-2f63d881257a", "version_id": "f67fcc7a-a833-4667-9b23-0c6ae60b39ad", "key": "10.1103/PhysRevD.109.054502.pdf", "size": 407571 }, { "checksum": "md5:c89abbe5016bd29dd30d0c849cce6650", "filetype": "xml", "bucket": "4688a388-4e68-49c5-93be-2f63d881257a", "version_id": "8893c9e7-a87c-44c1-a122-7268ab62e006", "key": "10.1103/PhysRevD.109.054502.xml", "size": 133951 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-lat", "hep-th" ], "value": "2312.13929" } ], "abstracts": [ { "source": "APS", "value": "Two-dimensional QCD with <math><msub><mi>N</mi><mi>c</mi></msub></math> colors and <math><msub><mi>N</mi><mi>f</mi></msub></math> flavors of massless fermions in the fundamental representation is expected to exhibit conformal behavior in the infrared governed by a <math><mi>u</mi><mo>(</mo><msub><mi>N</mi><mi>f</mi></msub><mo>)</mo></math> Wess\u2013Zumino\u2013Witten model with level <math><msub><mi>N</mi><mi>c</mi></msub></math>. Using numerical analysis within the lattice formalism with exactly massless overlap fermions, we show the emergence of such behavior in the infrared limit. Both the continuum extrapolated low-lying eigenvalues of the massless Dirac operator and the propagator of scalar mesons exhibit a flow from the ultraviolet to the infrared. We find that the amplitude of the conserved current correlator remains invariant under the flow, while the amplitude of the scalar correlator approaches <math><msub><mi>N</mi><mi>f</mi></msub></math>-independent values in the infrared." } ], "imprints": [ { "date": "2024-03-12", "publisher": "APS" } ] }