{"data":{"abstract":{"value":"
Finite-size scaling is investigated in detail around the critical point in the heavy quark region of nonzero temperature QCD. Numerical simulations are performed with large spatial volumes up to the aspect ratio at a fixed lattice spacing with . We show that the Binder cumulant and the distribution function of the Polyakov loop follow the finite-size scaling in the universality class for large spatial volumes with , while, for , the Binder cumulant becomes inconsistent with the scaling. To realize the large-volume simulations in the heavy quark region, we adopt the hopping parameter expansion for the quark determinant: We generate gauge configurations using the leading-order action including the Polyakov loop term for , and incorporate the next-to-leading order effects in the measurements by the multipoint-reweighting method. We find that the use of the leading-order configurations is crucially effective in suppressing the overlapping problem in the reweighting and thus in reducing the statistical errors.
","format":"html"},"articleType":"article","authors":[{"type":"Person","name":"Atsushi Kiyohara","firstname":"Atsushi","surname":"Kiyohara","affiliationIds":["a1"]},{"type":"Person","name":"Masakiyo Kitazawa","firstname":"Masakiyo","surname":"Kitazawa","affiliationIds":["a1","a2"]},{"type":"Person","name":"Shinji Ejiri","firstname":"Shinji","surname":"Ejiri","affiliationIds":["a3"]},{"type":"Person","name":"Kazuyuki Kanaya","firstname":"Kazuyuki","surname":"Kanaya","affiliationIds":["a4"]}],"affiliations":[{"name":"Department of Physics, Osaka University, Toyonaka, Osaka 560-0043, Japan","id":"a1"},{"name":"J-PARC Branch, KEK Theory Center, Institute of Particle and Nuclear Studies, KEK, 203-1, Shirakata, Tokai, Ibaraki 319-1106, Japan","id":"a2"},{"name":"Department of Physics, Niigata University, Niigata 950-2181, Japan","id":"a3"},{"name":"Tomonaga Center for the History of the Universe, University of Tsukuba, Tsukuba, Ibaraki 305-8571, Japan","id":"a4"}],"date":"2021-12-22","fundings":[{"funderId":"http://dx.doi.org/10.13039/501100001691","funderName":"Japan Society for the Promotion of Science","awards":["JP17K05442","JP18K03607","JP19H05598","JP19K03819","JP19H05146","JP21K03550"]},{"funderId":"http://dx.doi.org/10.13039/100015916","funderName":"Uchida Energy Science Promotion Foundation","awards":[]},{"funderId":"http://dx.doi.org/10.13039/501100013769","funderName":"Cybermedia Center, Osaka University","awards":[]},{"funderId":"http://dx.doi.org/10.13039/501100020579","funderName":"Research Institute for Information Technology, Kyushu University","awards":[]},{"funderId":null,"funderName":"HPCI System Research","awards":["hp170208","hp190036","hp200089","hp210039"]},{"funderId":null,"funderName":"ITO","awards":[]},{"funderId":null,"funderName":"JHPCN","awards":[]}],"type":"article","metadata_last_modified_at":"2021-12-22T18:27:23+0000","last_modified_at":"2021-12-22T18:27:23+0000","id":"10.1103/PhysRevD.104.114509","identifiers":{"doi":"10.1103/PhysRevD.104.114509","arxiv":"arXiv:2108.00118"},"issue":{"number":"11"},"pageStart":"114509","hasArticleId":true,"numPages":17,"classificationSchemes":{"physh":{"concepts":[{"id":"81b06dce-2254-4dd1-99ad-cf1e3db77cdf","facet":{"id":"bdb1ef91-b776-4e36-8f8f-3e93666bac1e"},"primary":false},{"id":"74f884e0-6764-4962-a081-b198cca267c3","facet":{"id":"bdb1ef91-b776-4e36-8f8f-3e93666bac1e"},"primary":true},{"id":"0b2e2d12-fe25-4c67-8086-edfad1177ee7","facet":{"id":"bdb1ef91-b776-4e36-8f8f-3e93666bac1e"},"primary":false},{"id":"c55000d0-ab5e-4ac5-a655-7a25c91ff13b","facet":{"id":"1e0c099a-9f2a-4e47-b3f1-7faa28b6a506"},"primary":false}],"disciplines":["9f5c878e-b7b7-4030-bdb9-21a24ad97422"]}},"publisher":{"name":"APS"},"rights":{"rightsStatement":"Published by the American Physical Society","copyrightYear":2021,"copyrightHolders":[],"creativeCommons":true,"licenses":[{"url":"https://creativecommons.org/licenses/by/4.0/","licenseStatement":"Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3."}]},"journal":{"id":"PRD","abbreviatedName":"Phys. Rev. D","name":"Physical Review D"},"title":{"value":"Finite-size scaling around the critical point in the heavy quark region of QCD","format":"html"},"tocSection":{"label":"Lattice field theories, lattice QCD"},"volume":{"number":"104"}}}