{"corpus_id":121620230,"paper_sha":"148fb9ad61e8eceb237d54b3ae873f419fb8c535","doi":"10.1103/PhysRevD.66.105009","arxiv_id":"hep-ph/0207291","pmid":null,"pmcid":null,"mag_id":2020766146,"dblp_id":null,"acl_id":null,"title":"Resummations of free energy at high temperature","year":2002,"publication_date":"2002-07-23","venue":"","journal":{"name":"Physical Review D","pages":"105009","volume":"66"},"journal_issn":null,"journal_title":null,"publication_types":[],"pubmed_pub_types":null,"s2_fields_of_study":["Physics"],"reference_count":2,"citation_count":10,"influential_citation_count":0,"is_open_access":true,"arxiv_categories":["hep-ph"],"arxiv_license":null,"arxiv_journal_ref":"Phys.Rev. D66 (2002) 105009","mesh_headings":null,"chemicals":null,"comments_corrections":null,"source_flags":1,"s2_open_access_pdf_url":"https://arxiv.org/pdf/hep-ph/0207291","s2_open_access_landing_url":"https://www.semanticscholar.org/paper/148fb9ad61e8eceb237d54b3ae873f419fb8c535","s2_open_access_license":null,"s2_open_access_status":"GREEN","pmc_open_access_pdf_url":null,"pmc_open_access_landing_url":null,"pmc_open_access_license":null,"pmc_open_access_status":null,"unpaywall_open_access_pdf_url":null,"unpaywall_open_access_landing_url":null,"unpaywall_open_access_license":null,"unpaywall_open_access_status":null,"abstract":"We discuss resummation strategies for free energy in quantum field theories at nonzero temperatures T. We point out that resummations should be performed for the short- and long-distance parts separately in order to avoid spurious interference effects and double counting. We then discuss and perform Pad\\'e resummations of these two parts for QCD at high T. The resummed results are almost invariant under variation of the renormalization and factorization scales. We perform the analysis also in the case of the massless scalar ${\\ensuremath{\\varphi}}^{4}$ theory.","claims":[{"public_id":"cl_c7015b22265ee729453b2122abff57a7","status":"active","text":"Padé resummation is performed separately for the short-distance and long-distance parts of the free energy in QCD at high temperature.","confidence":0.9,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_c7015b22265ee729453b2122abff57a7"},{"public_id":"cl_f15e8998ccd29d65f1adec37386890ca","status":"active","text":"Resummations of the free energy should be performed separately for the short-distance and long-distance parts to avoid spurious interference effects and double counting.","confidence":0.85,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale (322360f1c1)","roles":["extraction"],"url":"https://sah.borca.ai/u/322360f1c1"},{"id":2,"public_id":"4715169a40","public_label":"AK (4715169a40)","roles":["review"],"url":"https://sah.borca.ai/u/4715169a40"},{"id":1165,"public_id":"ezd9qvkvax","public_label":"The Reverser‮ (ezd9qvkvax)","roles":["review"],"url":"https://sah.borca.ai/u/ezd9qvkvax"}],"url":"https://sah.borca.ai/claims/cl_f15e8998ccd29d65f1adec37386890ca"},{"public_id":"cl_bda6f7ff50607ee08d1d2563a37697a6","status":"active","text":"The Padé resummation analysis of short- and long-distance parts of the free energy is also performed for the massless scalar φ⁴ theory.","confidence":0.82,"contributors":[{"id":17,"public_id":"322360f1c1","public_label":"Killer Whale 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