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The full analytic trans-series in integrable field theories

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arxiv 2212.09416 v2 pith:VOCGDVJU submitted 2022-12-19 hep-th

Zoltan Bajnok , Janos Balog , Istvan Vona This is my paper · ORCID
classification hep-th
keywords fieldtrans-seriesanalyticbasisdensitiesenergyfullgeneralized
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We analyze a family of generalized energy densities in integrable quantum field theories in the presence of an external field coupled to a conserved charge. By using the Wiener-Hopf technique to solve the linear thermodynamic Bethe ansatz equations we derive the full analytic trans-series for these observables in terms of a perturbatively defined basis. We show how to calculate these basis elements to high orders analytically and reveal their complete resurgence structure. We demonstrate that the physical value of the generalized energy densities is obtained by the median resummation of their ambiguity-free trans-series.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The complete trans-series for conserved charges in integrable field theories

    hep-th 2025-01 conditional novelty 7.0 of 10

    A unified Wiener-Hopf construction gives all-order trans-series for conserved charges in O(N), SU(N), Lieb-Liniger, Gaudin-Yang and capacitor models, with numerically checked Borel resummation.

  2. Strong coupling structure of $\mathcal{N}=4$ SYM observables with matrix Bessel kernel

    hep-th 2026-02 unverdicted novelty 6.0 of 10

    The strong-coupling transseries for matrix Bessel determinant observables is generated from its perturbative part by shifting a→a−Δ and replacing moments I_n, with all Stokes constants fixed by two recurrences.

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