A new O(N)-symmetric perturbative framework for the 2D NLSM derived from the LSM limit reproduces the perturbative two-point function and its first exponentially small condensate correction at NLO in 1/N, matching the exact large N solution while identifying the leading renormalon as UV and canceled
Liu, Renormalon-like factorial enhancements to power expansion/OPE expansion in super-renormalizable QFTs, 2502.02031
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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.
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Trans-series from condensates in the non-linear sigma model
A new O(N)-symmetric perturbative framework for the 2D NLSM derived from the LSM limit reproduces the perturbative two-point function and its first exponentially small condensate correction at NLO in 1/N, matching the exact large N solution while identifying the leading renormalon as UV and canceled
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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.