We derive the anomalous conformal Ward identities for $$ \mathcal{N} $$ = 4 SYM Wilson loops on polygon-like contours with edges formed by circular arcs. With a suitable choice of parameterisation they are very similarly to those for local correlation functions. Their solutions have a conformally covariant factor depending on the distances of the corners times a conformally invariant remainder factor depending, besides on cross ratios of the corners, on the cusp angles and angles parameterising the torsion of the contours.
{ "_oai": { "updated": "2022-03-03T05:18:04Z", "id": "oai:repo.scoap3.org:53517", "sets": [ "JHEP" ] }, "authors": [ { "affiliations": [ { "country": "Germany", "value": "Institut f\u00fcr Physik und IRIS Adlershof, Humboldt-Universit\u00e4t zu Berlin, Zum Gro\u03b2en Windkanal 6, Berlin, D-12489, Germany", "organization": "Institut f\u00fcr Physik und IRIS Adlershof, Humboldt-Universit\u00e4t zu Berlin" } ], "surname": "Dorn", "email": "dorn@physik.hu-berlin.de", "full_name": "Dorn, Harald", "given_names": "Harald" } ], "titles": [ { "source": "Springer", "title": "On anomalous conformal Ward identities for Wilson loops on polygon-like contours with circular edges" } ], "dois": [ { "value": "10.1007/JHEP03(2020)166" } ], "publication_info": [ { "page_end": "18", "journal_title": "Journal of High Energy Physics", "material": "article", "journal_volume": "2020", "artid": "JHEP03(2020)166", "year": 2020, "page_start": "1", "journal_issue": "3" } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2021-05-05T18:31:06.092111", "source": "Springer", "method": "Springer", "submission_number": "e675341eadcf11eba0e30a580a641584" }, "page_nr": [ 18 ], "license": [ { "url": "https://creativecommons.org/licenses//by/4.0", "license": "CC-BY-4.0" } ], "copyright": [ { "holder": "The Author(s)", "year": "2021" } ], "control_number": "53517", "record_creation_date": "2020-03-28T01:30:32.828220", "_files": [ { "checksum": "md5:7c495aaa6917f8351c654c75a23ef2be", "filetype": "xml", "bucket": "9df6c736-f63a-4fa0-9eae-eb0622ea1b75", "version_id": "d67e0b52-8802-480d-8304-191549fe0c1e", "key": "10.1007/JHEP03(2020)166.xml", "size": 9905 }, { "checksum": "md5:0fb5f93fa54678d06ffe352f62afd791", "filetype": "pdf/a", "bucket": "9df6c736-f63a-4fa0-9eae-eb0622ea1b75", "version_id": "0a8ca053-5a20-42b8-8291-ad0b5568affa", "key": "10.1007/JHEP03(2020)166_a.pdf", "size": 683858 } ], "collections": [ { "primary": "Journal of High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "hep-ph", "math-ph", "math.MP" ], "value": "2001.03391" } ], "abstracts": [ { "source": "Springer", "value": "We derive the anomalous conformal Ward identities for <math> <mi>N</mi> </math> $$ \\mathcal{N} $$ = 4 SYM Wilson loops on polygon-like contours with edges formed by circular arcs. With a suitable choice of parameterisation they are very similarly to those for local correlation functions. Their solutions have a conformally covariant factor depending on the distances of the corners times a conformally invariant remainder factor depending, besides on cross ratios of the corners, on the cusp angles and angles parameterising the torsion of the contours." } ], "imprints": [ { "date": "2020-03-27", "publisher": "Springer" } ] }