In the large-N limit of the 2D O(N) scalar theory, the IR renormalon in the ground state energy is the correct asymptotic expansion of the exact solution, with the complete trans-series determined at NLO in 1/N; the two-point function has a similar non-Borel-summable renormalon.
Liu, Bjorken and threshold asymptotics of a space-like structure function in the 2D U(N) Gross-Neveu model, JHEP 09 (2024) 093, [ 2403.06787]
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Anatomy of the simplest renormalon
In the large-N limit of the 2D O(N) scalar theory, the IR renormalon in the ground state energy is the correct asymptotic expansion of the exact solution, with the complete trans-series determined at NLO in 1/N; the two-point function has a similar non-Borel-summable renormalon.