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Rev. Lett."],"accepted":{"date-parts":[[2023,12,11]]},"abstract":"<jats:p>We propose a two-dimensional hard-core loop-gas model as a way to regularize the asymptotically free massive continuum quantum field theory that emerges at the Berezinskii-Kosterlitz-Thouless transition. Without fine-tuning, our model can reproduce the universal step-scaling function of the classical lattice <a:math xmlns:a=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\"><a:mi>X<\/a:mi><a:mi>Y<\/a:mi><\/a:math> model in the massive phase as we approach the phase transition. This is achieved by lowering the fugacity of Fock-vacuum sites in the loop-gas configuration space to zero in the thermodynamic limit. Some of the universal quantities at the Berezinskii-Kosterlitz-Thouless transition show smaller finite size effects in our model as compared to the traditional <c:math xmlns:c=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" display=\"inline\"><c:mi>X<\/c:mi><c:mi>Y<\/c:mi><\/c:math> model. Our model is a prime example of qubit regularization of an asymptotically free massive quantum field theory in Euclidean space-time and helps understand how asymptotic freedom can arise as a relevant perturbation at a decoupled fixed point without fine-tuning.<\/jats:p>\n          <jats:sec>\n            <jats:title\/>\n            <jats:supplementary-material>\n              <jats:permissions>\n                <jats:copyright-statement>Published by the American Physical Society<\/jats:copyright-statement>\n                <jats:copyright-year>2024<\/jats:copyright-year>\n              <\/jats:permissions>\n            <\/jats:supplementary-material>\n          <\/jats:sec>","DOI":"10.1103\/physrevlett.132.041601","type":"journal-article","created":{"date-parts":[[2024,1,22]],"date-time":"2024-01-22T15:59:51Z","timestamp":1705939191000},"update-policy":"https:\/\/doi.org\/10.1103\/crossmark-policy","source":"Crossref","is-referenced-by-count":8,"title":["Asymptotic Freedom at the Berezinskii-Kosterlitz-Thouless Transition without Fine-Tuning Using a Qubit Regularization"],"prefix":"10.1103","volume":"132","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5248-5316","authenticated-orcid":true,"given":"Sandip","family":"Maiti","sequence":"first","affiliation":[{"name":"Saha Institute of Nuclear Physics, HBNI, 1\/AF Bidhannagar, Kolkata 700064, India"},{"name":"Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai 400094, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0244-4337","authenticated-orcid":true,"given":"Debasish","family":"Banerjee","sequence":"additional","affiliation":[{"name":"Saha Institute of Nuclear Physics, HBNI, 1\/AF Bidhannagar, Kolkata 700064, India"},{"name":"Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai 400094, India"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3711-4998","authenticated-orcid":true,"given":"Shailesh","family":"Chandrasekharan","sequence":"additional","affiliation":[{"name":"Department of Physics, Box 90305, Duke University, Durham, North Carolina 27708, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9883-7866","authenticated-orcid":true,"given":"Marina K.","family":"Marinkovic","sequence":"additional","affiliation":[{"name":"Institut f\u00fcr Theoretische Physik, Wolfgang-Pauli-Stra\u00dfe 27, ETH Z\u00fcrich, 8093 Z\u00fcrich, Switzerland"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"16","published-online":{"date-parts":[[2024,1,22]]},"reference":[{"key":"PhysRevLett.132.041601Cc1R1","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.55.583"},{"key":"PhysRevLett.132.041601Cc2R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.99.052335"},{"key":"PhysRevLett.132.041601Cc3R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.123.090501"},{"key":"PhysRevLett.132.041601Cc4R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.100.054505"},{"key":"PhysRevLett.132.041601Cc5R1","doi-asserted-by":"publisher","DOI":"10.1140\/epjd\/e2020-100571-8"},{"key":"PhysRevLett.132.041601Cc6R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.106.L091502"},{"key":"PhysRevLett.132.041601Cc7R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.103.094501"},{"key":"PhysRevLett.132.041601Cc8R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.107.114513"},{"key":"PhysRevLett.132.041601Cc9R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.131.171902"},{"key":"PhysRevLett.132.041601Cc10R1","doi-asserted-by":"publisher","DOI":"10.1007\/JHEP09(2023)126"},{"key":"PhysRevLett.132.041601Cc11R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0920-5632(99)85014-2"},{"key":"PhysRevLett.132.041601Cc12R1","doi-asserted-by":"publisher","DOI":"10.1016\/j.nuclphysb.2004.06.007"},{"key":"PhysRevLett.132.041601Cc13R1","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.110.125303"},{"key":"PhysRevLett.132.041601Cc14R1","doi-asserted-by":"publisher","DOI":"10.1098\/rsta.2021.0068"},{"key":"PhysRevLett.132.041601Cc15R1","doi-asserted-by":"crossref","DOI":"10.1017\/CBO9780511973765","volume-title":"Quantum Phase Transitions","author":"S. 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