{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,19]],"date-time":"2025-12-19T12:49:35Z","timestamp":1766148575746,"version":"3.48.0"},"reference-count":51,"publisher":"American Physical Society (APS)","issue":"12","license":[{"start":{"date-parts":[[2025,12,19]],"date-time":"2025-12-19T00:00:00Z","timestamp":1766102400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001823","name":"Ministerstvo \u0160kolstv\u00ed, Ml\u00e1de\u017ee a T?lov\u00fdchovy","doi-asserted-by":"publisher","award":["FORTE CZ.02.01.01\/00\/22_008\/0004632"],"award-info":[{"award-number":["FORTE CZ.02.01.01\/00\/22_008\/0004632"]}],"id":[{"id":"10.13039\/501100001823","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003593","name":"Conselho Nacional de Desenvolvimento Cient\u00edfico e Tecnol\u00f3gico","doi-asserted-by":"publisher","award":["314000\/2021-6"],"award-info":[{"award-number":["314000\/2021-6"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100002322","name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","doi-asserted-by":"publisher","award":["001"],"award-info":[{"award-number":["001"]}],"id":[{"id":"10.13039\/501100002322","id-type":"DOI","asserted-by":"publisher"}]},{"name":"European Structural and Investment Funds"}],"content-domain":{"domain":["journals.aps.org"],"crossmark-restriction":true},"short-container-title":["Phys. Rev. D"],"accepted":{"date-parts":[[2025,11,24]]},"abstract":"<jats:p>\n                    We investigate elliptical Wilson loops in\n                    <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <a:mi mathvariant=\"script\">N<\/a:mi>\n                      <a:mo>=<\/a:mo>\n                      <a:mn>4<\/a:mn>\n                    <\/a:math>\n                    Super Yang\u2013Mills theory at weak and strong coupling for small values of the eccentricity. We obtain analytical results for the vacuum expectation value of the Wilson loop in the form of a series in the eccentricity parameter. At weak coupling, we use perturbation theory in\n                    <d:math xmlns:d=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <d:mi mathvariant=\"script\">N<\/d:mi>\n                      <d:mo>=<\/d:mo>\n                      <d:mn>4<\/d:mn>\n                    <\/d:math>\n                    Super Yang\u2013Mills. At strong coupling, we use the AdS\/CFT correspondence, which maps the Wilson loop to the minimal-area world sheet of an open string in anti\u2013de Sitter (AdS) space. We present a novel perturbative method to solve the Nambu\u2013Goto equations allowing us to describe the minimal surface in terms of a coordinate parametrization in Euclidean\n                    <g:math xmlns:g=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <g:mrow>\n                        <g:msub>\n                          <g:mrow>\n                            <g:mi>AdS<\/g:mi>\n                          <\/g:mrow>\n                          <g:mrow>\n                            <g:mn>3<\/g:mn>\n                          <\/g:mrow>\n                        <\/g:msub>\n                      <\/g:mrow>\n                    <\/g:math>\n                    . Our results for the regularized area agree with those obtained by Dekel [.] based on the Polyakov action.\n                  <\/jats:p>","DOI":"10.1103\/53y8-72hr","type":"journal-article","created":{"date-parts":[[2025,11,24]],"date-time":"2025-11-24T18:39:53Z","timestamp":1764009593000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Elliptical Wilson loops in\n                    <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\">\n                      <mml:mi mathvariant=\"script\">N<\/mml:mi>\n                      <mml:mo>=<\/mml:mo>\n                      <mml:mn>4<\/mml:mn>\n                    <\/mml:math>\n                    Super Yang-Mills theory"],"prefix":"10.1103","volume":"112","author":[{"ORCID":"https:\/\/orcid.org\/0009-0007-6195-4798","authenticated-orcid":true,"given":"Thales","family":"Azevedo","sequence":"first","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03490as77","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidade Federal do Rio de Janeiro"},{"id":[{"id":"https:\/\/ror.org\/02yhj4v17","id-type":"ROR","asserted-by":"publisher"}],"name":"Institute of Physics of the Czech Academy of Sciences and CEICO"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5237-3456","authenticated-orcid":true,"given":"Alfonso","family":"Ballon-Bayona","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03490as77","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidade Federal do Rio de Janeiro"}]},{"ORCID":"https:\/\/orcid.org\/0009-0005-9814-9886","authenticated-orcid":true,"given":"Leonardo","family":"Pazito","sequence":"additional","affiliation":[{"id":[{"id":"https:\/\/ror.org\/03490as77","id-type":"ROR","asserted-by":"publisher"}],"name":"Universidade Federal do Rio de Janeiro"}]}],"member":"16","published-online":{"date-parts":[[2025,12,19]]},"reference":[{"doi-asserted-by":"publisher","key":"53y8-72hrCc1R1","DOI":"10.1103\/PhysRevD.10.2445","type":"journal-article"},{"doi-asserted-by":"publisher","key":"53y8-72hrCc2R1","DOI":"10.1103\/PhysRevD.24.2160","type":"journal-article"},{"doi-asserted-by":"publisher","key":"53y8-72hrCc3R1","DOI":"10.1016\/0550-3213(77)90328-5","type":"journal-article"},{"volume-title":"Theoretical Advanced Study Institute in Elementary Particle Physics (TASI 2001): Strings, Branes and Extra Dimensions","year":"2002","author":"E. 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All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright_statement","label":"Copyright statement","group":{"name":"copyright","label":"copyright"}},{"value":"2025","name":"copyright_year","label":"Copyright year","group":{"name":"copyright","label":"copyright"}},{"value":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/","name":"creative_commons_license","label":"Creative Commons license","group":{"name":"licenses","label":"Licenses"}},{"value":"\u00a92025 The authors","name":"copyright_holder","label":"Copyright holder","group":{"name":"copyright","label":"copyright"}}],"article-number":"126018"}}