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| 001 | 628934 | ||
| 005 | 20250708212234.0 | ||
| 024 | 7 | _ | |a Barrat:2025nvu |2 INSPIRETeX |
| 024 | 7 | _ | |a inspire:2932014 |2 inspire |
| 024 | 7 | _ | |a arXiv:2506.06422 |2 arXiv |
| 024 | 7 | _ | |a 10.3204/PUBDB-2025-01738 |2 datacite_doi |
| 037 | _ | _ | |a PUBDB-2025-01738 |
| 041 | _ | _ | |a English |
| 088 | _ | _ | |a DESY-25-078 |2 DESY |
| 088 | _ | _ | |a arXiv:2506.06422 |2 arXiv |
| 100 | 1 | _ | |a Barrat, Julien |0 P:(DE-H253)PIP1098469 |b 0 |e Corresponding author |
| 245 | _ | _ | |a The analytic bootstrap at finite temperature |
| 260 | _ | _ | |c 2025 |
| 336 | 7 | _ | |a Preprint |b preprint |m preprint |0 PUB:(DE-HGF)25 |s 1751973109_2380178 |2 PUB:(DE-HGF) |
| 336 | 7 | _ | |a WORKING_PAPER |2 ORCID |
| 336 | 7 | _ | |a Electronic Article |0 28 |2 EndNote |
| 336 | 7 | _ | |a preprint |2 DRIVER |
| 336 | 7 | _ | |a ARTICLE |2 BibTeX |
| 336 | 7 | _ | |a Output Types/Working Paper |2 DataCite |
| 500 | _ | _ | |a 61 pages |
| 520 | _ | _ | |a We propose new formulae for thermal two-point functions of scalar operators, based ontheir analytic structure at both zero and non-zero spatial separation. At zero spatialseparation, we derive a dispersion relation in the complexified time plane, which fixesthe correlator up to an additive constant and theory-dependent dynamical information.At non-zero spatial separation, we explore the interplay between dispersion relations, theOPE, and the KMS condition. In particular, we introduce a formula for the thermal two-point function obtained by summing over images of the dispersion relation result. Thisconstruction satisfies all thermal bootstrap conditions, with the exception of clustering atinfinite distance, which must be verified on a case-by-case basis. We test our results both inweakly and strongly coupled theories. In particular, we show that the Tauberian behaviorof [1] and its correction can be explicitly derived from dispersion relation. We combineanalytical and numerical results in a “hybrid” bootstrap fashion, and we compute thethermal two-point function of the energy operator in the 3d Ising model and find excellentagreement with Monte Carlo simulations. |
| 536 | _ | _ | |a 611 - Fundamental Particles and Forces (POF4-611) |0 G:(DE-HGF)POF4-611 |c POF4-611 |f POF IV |x 0 |
| 536 | _ | _ | |a BrokenSymmetries - Exact Results from Broken Symmetries (101044226) |0 G:(EU-Grant)101044226 |c 101044226 |f ERC-2021-COG |x 1 |
| 536 | _ | _ | |a DFG project G:(GEPRIS)506632645 - SFB 1624: Höhere Strukturen, Modulräume und Integrabilität (506632645) |0 G:(GEPRIS)506632645 |c 506632645 |x 2 |
| 536 | _ | _ | |a DFG project G:(GEPRIS)390833306 - EXC 2121: Quantum Universe (390833306) |0 G:(GEPRIS)390833306 |c 390833306 |x 3 |
| 588 | _ | _ | |a Dataset connected to INSPIRE |
| 693 | _ | _ | |0 EXP:(DE-MLZ)NOSPEC-20140101 |5 EXP:(DE-MLZ)NOSPEC-20140101 |e No specific instrument |x 0 |
| 700 | 1 | _ | |a Bozkurt, Deniz |0 P:(DE-H253)PIP1089622 |b 1 |
| 700 | 1 | _ | |a Marchetto, Enrico |0 P:(DE-H253)PIP1092973 |b 2 |
| 700 | 1 | _ | |a Miscioscia, Alessio |0 P:(DE-H253)PIP1103460 |b 3 |
| 700 | 1 | _ | |a Pomoni, Elli |0 P:(DE-H253)PIP1018308 |b 4 |
| 856 | 4 | _ | |u https://bib-pubdb1.desy.de/record/628934/files/HTML-Approval_of_scientific_publication.html |
| 856 | 4 | _ | |u https://bib-pubdb1.desy.de/record/628934/files/PDF-Approval_of_scientific_publication.pdf |
| 856 | 4 | _ | |y OpenAccess |u https://bib-pubdb1.desy.de/record/628934/files/2506.06422v1.pdf |
| 856 | 4 | _ | |y OpenAccess |x pdfa |u https://bib-pubdb1.desy.de/record/628934/files/2506.06422v1.pdf?subformat=pdfa |
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| 910 | 1 | _ | |a Deutsches Elektronen-Synchrotron |0 I:(DE-588b)2008985-5 |k DESY |b 0 |6 P:(DE-H253)PIP1098469 |
| 910 | 1 | _ | |a External Institute |0 I:(DE-HGF)0 |k Extern |b 1 |6 P:(DE-H253)PIP1089622 |
| 910 | 1 | _ | |a Deutsches Elektronen-Synchrotron |0 I:(DE-588b)2008985-5 |k DESY |b 2 |6 P:(DE-H253)PIP1092973 |
| 910 | 1 | _ | |a Deutsches Elektronen-Synchrotron |0 I:(DE-588b)2008985-5 |k DESY |b 3 |6 P:(DE-H253)PIP1103460 |
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| 913 | 1 | _ | |a DE-HGF |b Forschungsbereich Materie |l Matter and the Universe |1 G:(DE-HGF)POF4-610 |0 G:(DE-HGF)POF4-611 |3 G:(DE-HGF)POF4 |2 G:(DE-HGF)POF4-600 |4 G:(DE-HGF)POF |v Fundamental Particles and Forces |x 0 |
| 914 | 1 | _ | |y 2025 |
| 915 | _ | _ | |a OpenAccess |0 StatID:(DE-HGF)0510 |2 StatID |
| 920 | 1 | _ | |0 I:(DE-H253)T-20120731 |k T |l Theorie-Gruppe |x 0 |
| 980 | _ | _ | |a preprint |
| 980 | _ | _ | |a VDB |
| 980 | _ | _ | |a UNRESTRICTED |
| 980 | _ | _ | |a I:(DE-H253)T-20120731 |
| 980 | 1 | _ | |a FullTexts |
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