We present the first analytic scheme-independent series calculations of anomalous dimensions of several types of baryon operators at an infrared fixed point (IRFP) in an asymptotically free SU(3) gauge theory with fermions. Separately, for an asymptotically free gauge theory with a gauge group and fermions in a representation of , we consider physical quantities at an IRFP, including the anomalous dimension of gauge-invariant fermion bilinears and the derivative of the beta function. These quantities have been calculated in series expansions whose coefficients have been proved to be scheme-independent at each order. We illustrate the scheme independence using a variety of schemes, including the scheme and several types of momentum subtraction schemes.
{ "_oai": { "updated": "2022-03-04T11:01:25Z", "id": "oai:repo.scoap3.org:41084", "sets": [ "PRD" ] }, "authors": [ { "raw_name": "John A. Gracey", "affiliations": [ { "country": "UK", "value": "Theoretical Physics Division, Department of Mathematical Sciences, University of Liverpool, P.O. Box 147, Liverpool L69 3BX, United Kingdom" } ], "surname": "Gracey", "given_names": "John A.", "full_name": "Gracey, John A." }, { "raw_name": "Thomas A. Ryttov", "affiliations": [ { "country": "Denmark", "value": "CP3-Origins, University of Southern Denmark, Campusvej 55, DK-5230 Odense M, Denmark" } ], "surname": "Ryttov", "given_names": "Thomas A.", "full_name": "Ryttov, Thomas A." }, { "raw_name": "Robert Shrock", "affiliations": [ { "country": "USA", "value": "C. N. Yang Institute for Theoretical Physics and Department of Physics and Astronomy, Stony Brook University, Stony Brook, New York 11794, USA" } ], "surname": "Shrock", "given_names": "Robert", "full_name": "Shrock, Robert" } ], "titles": [ { "source": "APS", "title": "Scheme-independent calculations of anomalous dimensions of baryon operators in conformal field theories" } ], "dois": [ { "value": "10.1103/PhysRevD.97.116018" } ], "publication_info": [ { "journal_volume": "97", "journal_title": "Physical Review D", "material": "article", "journal_issue": "11", "year": 2018 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2020-06-29T15:26:13.660443", "source": "APS", "method": "APS", "submission_number": "bca49440b8c511eaad8602163e01809a" }, "page_nr": [ 14 ], "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": "41084", "record_creation_date": "2018-07-10T15:30:31.455073", "_files": [ { "checksum": "md5:93cbdab5faf2fb210cf8084615a6f740", "filetype": "pdf", "bucket": "34b7afc8-6939-475c-b8ae-2a52296191db", "version_id": "4779c143-69a4-4836-914d-647380879bf9", "key": "10.1103/PhysRevD.97.116018.pdf", "size": 397847 }, { "checksum": "md5:ff57e0a87f1c3b69cb598bd17940e743", "filetype": "xml", "bucket": "34b7afc8-6939-475c-b8ae-2a52296191db", "version_id": "27014816-be71-4c52-8fed-93ac29f1d360", "key": "10.1103/PhysRevD.97.116018.xml", "size": 365017 } ], "collections": [ { "primary": "HEP" }, { "primary": "Citeable" }, { "primary": "Published" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "hep-lat", "hep-ph" ], "value": "1805.02729" } ], "abstracts": [ { "source": "APS", "value": "We present the first analytic scheme-independent series calculations of anomalous dimensions of several types of baryon operators at an infrared fixed point (IRFP) in an asymptotically free SU(3) gauge theory with <math><msub><mi>N</mi><mi>f</mi></msub></math> fermions. Separately, for an asymptotically free gauge theory with a gauge group <math><mi>G</mi></math> and <math><msub><mi>N</mi><mi>f</mi></msub></math> fermions in a representation <math><mi>R</mi></math> of <math><mi>G</mi></math>, we consider physical quantities at an IRFP, including the anomalous dimension of gauge-invariant fermion bilinears and the derivative of the beta function. These quantities have been calculated in series expansions whose coefficients have been proved to be scheme-independent at each order. We illustrate the scheme independence using a variety of schemes, including the <math><mrow><msup><mrow><mi>RI</mi></mrow><mrow><mo>\u2032</mo></mrow></msup></mrow></math> scheme and several types of momentum subtraction schemes." } ], "imprints": [ { "date": "2018-06-22", "publisher": "APS" } ] }