Analytic asymptotics of the integrable XXX critical spin chains in the small external-field limit from TBA (opens in new tab)

arXiv:2310.15134v3 Announce Type: replace-cross Abstract: In this note, inspired partly by the works on the analytic trans-series of free-energies in 2D integrable QFTs in the UV limit, we study the corresponding asymptotic expansions in the IR limit of the integrable XXX spin chains, at the anti-ferromagnetic critical point. Starting from the linear TBA integral equation, we generate the perturbative series in the minimal-scheme coupling constants, up to the first order where the $\zeta_3$ a...