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High Energy Physics - Theory

arXiv:2111.11951 (hep-th)
[Submitted on 23 Nov 2021 (v1), last revised 20 Feb 2023 (this version, v4)]

Title:New renormalons from analytic trans-series

Authors:Marcos Marino, Ramon Miravitllas, Tomas Reis
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Abstract:We study the free energy of integrable, asymptotically free field theories in two dimensions coupled to a conserved charge. We develop methods to obtain analytic expressions for its trans-series expansion, directly from the Bethe ansatz equations, and we use this result to determine the structure of its Borel singularities. We find a new class of infrared renormalons which does not fit the traditional expectations of renormalon physics proposed long ago by 't Hooft and Parisi. We check the existence of these new singularities with detailed calculations based on the resurgent analysis of the perturbative expansion. Our results show that the structure of renormalons in asymptotically free theories is more subtle than previously thought, and that large $N$ estimates of their location might be misleading.
Comments: 58 pages, 17 figures - v4: corrected the discussion of the instanton-like contributions in the PCF model
Subjects: High Energy Physics - Theory (hep-th); High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph); Mathematical Physics (math-ph)
Cite as: arXiv:2111.11951 [hep-th]
  (or arXiv:2111.11951v4 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.11951
Related DOI: https://doi.org/10.1007/JHEP08%282022%29279

Submission history

From: Tomás Reis [view email]
[v1] Tue, 23 Nov 2021 15:44:13 UTC (872 KB)
[v2] Mon, 13 Jun 2022 05:55:11 UTC (916 KB)
[v3] Fri, 29 Jul 2022 15:11:41 UTC (916 KB)
[v4] Mon, 20 Feb 2023 16:48:43 UTC (915 KB)
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