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
Compelling evidence of renormalons in QCD from high order perturbative expansions
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abstract
We compute the static self-energy of SU(3) gauge theory in four spacetime dimensions to order \alpha^{20} in the strong coupling constant. We employ lattice regularization to enable a numerical simulation within the framework of stochastic perturbation theory. We find perfect agreement with the factorial growth of high order coefficients predicted by the conjectured renormalon picture based on the operator product expansion.
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Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.
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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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A note on the 2D NLSM free energy
Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.