In this work we calculate the static limit of the energy for a quark-antiquark pair from the Nambu-Goto action using a holographic approach with a deformed AdS space, with warp factor . From this energy we derive the Cornell potential for the quark-antiquark interaction. We also find a range of values for our parameters which fits exactly the Cornell potential parameters. In particular, setting the zero energy of the Cornell potential at 0.33 fermi, we find that GeV and .
{ "_oai": { "updated": "2019-05-10T14:11:48Z", "id": "oai:repo.scoap3.org:45320", "sets": [ "AHEP" ] }, "authors": [ { "surname": "Boschi-Filho", "given_names": "Henrique", "raw_name": "Boschi-Filho, Henrique", "affiliations": [ { "country": "Brazil", "value": "Instituto de F\u00edsica, Universidade Federal do Rio de Janeiro, 21.941-972 - Rio de Janeiro-RJ, Brazil" } ], "full_name": "Boschi-Filho, Henrique", "orcid": "0000-0002-5569-3372" }, { "raw_name": "Bruni, Rodrigo C. L.", "affiliations": [ { "country": "Brazil", "value": "Departamento de F\u00edsica Te\u00f3rica, Universidade do Estado do Rio de Janeiro, 20.550-900 - Rio de Janeiro-RJ, Brazil" } ], "surname": "Bruni", "given_names": "Rodrigo C.L.", "full_name": "Bruni, Rodrigo C.L." }, { "raw_name": "Capossoli, Eduardo Folco", "affiliations": [ { "country": "Brazil", "value": "Departamento de F\u00edsica and Mestrado Profissional em Pr\u00e1ticas da Educa\u00e7\u00e3o B\u00e1sica (MPPEB), Col\u00e9gio Pedro II, 20.921-903 - Rio de Janeiro-RJ, Brazil" }, { "country": "Brazil", "value": "Instituto de F\u00edsica, Universidade Federal do Rio de Janeiro, 21.941-972 - Rio de Janeiro-RJ, Brazil" } ], "surname": "Capossoli", "given_names": "Eduardo Folco", "full_name": "Capossoli, Eduardo Folco" } ], "titles": [ { "source": "Hindawi", "title": "Quark-Antiquark Potential from a Deformed AdS/QCD" } ], "dois": [ { "value": "10.1155/2019/1901659" } ], "publication_info": [ { "page_start": "1901659", "material": "article", "journal_title": "Advances in High Energy Physics", "year": 2019 } ], "$schema": "http://repo.scoap3.org/schemas/hep.json", "acquisition_source": { "date": "2019-05-10T15:55:54.281513", "source": "Hindawi", "method": "Hindawi", "submission_number": "51816db8732b11e99fff02163e01809a" }, "page_nr": [ 6 ], "license": [ { "url": "http://creativecommons.org/licenses/by/3.0/", "license": "CC-BY-3.0" } ], "copyright": [ { "statement": "Copyright \u00a9 2019 Rodrigo C. L. Bruni et al.", "year": "2019" } ], "control_number": "45320", "record_creation_date": "2019-01-31T11:45:21.024281", "_files": [ { "checksum": "md5:2e31e0105eb55f7ceff7a61746f11428", "filetype": "pdf", "bucket": "87546de6-c4e1-419a-b1e1-60fe6cb9ec0f", "version_id": "2f26b33d-3234-44c3-a065-2e5950ac79cf", "key": "10.1155/2019/1901659.pdf", "size": 1423118 }, { "checksum": "md5:b5dce470d762ad6be4fc8795df2c3df3", "filetype": "xml", "bucket": "87546de6-c4e1-419a-b1e1-60fe6cb9ec0f", "version_id": "5b8d3ac7-05cc-4d6a-b66e-bafb5dfe4579", "key": "10.1155/2019/1901659.xml", "size": 248134 } ], "collections": [ { "primary": "Advances in High Energy Physics" } ], "arxiv_eprints": [ { "categories": [ "hep-th", "hep-ph" ], "value": "1806.05720v2" } ], "abstracts": [ { "source": "Hindawi", "value": "In this work we calculate the static limit of the energy for a quark-antiquark pair from the Nambu-Goto action using a holographic approach with a deformed AdS space, with warp factor <math id=\"M1\"><mrow><mrow><mi>exp</mi></mrow><mo>\u2061</mo><mrow><mo>{</mo><mo>(</mo><mi>\u03ba</mi><mi>z</mi><msup><mrow><mo>)</mo></mrow><mrow><mi>n</mi></mrow></msup><mo>/</mo><mi>n</mi><mo>}</mo></mrow></mrow></math>. From this energy we derive the Cornell potential for the quark-antiquark interaction. We also find a range of values for our parameters which fits exactly the Cornell potential parameters. In particular, setting the zero energy of the Cornell potential at 0.33 fermi, we find that <math id=\"M2\"><mi>\u03ba</mi><mo>=</mo><mn>0.56</mn></math> GeV and <math id=\"M3\"><mi>n</mi><mo>=</mo><mn>1.3</mn></math>." } ], "imprints": [ { "date": "2019-01-13", "publisher": "Hindawi" } ] }