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High Energy Physics - Theory

arXiv:1803.04416 (hep-th)
[Submitted on 12 Mar 2018 (v1), last revised 22 Sep 2021 (this version, v2)]

Title:The Hagedorn temperature of AdS5/CFT4 at finite coupling via the Quantum Spectral Curve

Authors:Troels Harmark, Matthias Wilhelm
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Abstract:Building on the recently established connection between the Hagedorn temperature and integrability [this http URL. 120 (2018) no.7, 071605], we show how the Quantum Spectral Curve formalism can be used to calculate the Hagedorn temperature of AdS5/CFT4 for any value of the 't Hooft coupling. We solve this finite system of finite-difference equations perturbatively at weak coupling and numerically at finite coupling. We confirm previous results at weak coupling and obtain the previously unknown three-loop Hagedorn temperature. Our finite-coupling results interpolate between weak and strong coupling and allow us to extract the first perturbative order at strong coupling. Our results indicate that the Hagedorn temperature for large 't Hooft coupling approaches that of type IIB string theory in ten-dimensional Minkowski space.
Comments: 7 pages; v2: clarifications added, typos corrected
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1803.04416 [hep-th]
  (or arXiv:1803.04416v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1803.04416
Journal reference: Phys.Lett.B 786 (2018) 53-58
Related DOI: https://doi.org/10.1016/j.physletb.2018.09.033

Submission history

From: Matthias Wilhelm [view email]
[v1] Mon, 12 Mar 2018 18:00:01 UTC (19 KB)
[v2] Wed, 22 Sep 2021 10:44:11 UTC (19 KB)
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