Perturbative computation of 2D NLSM energy-density to fourth order agrees with TBA large-h asymptotics.
Nonlinear differential equations for the correlation functions of the 2D Ising model on the cylinder
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abstract
We derive determinant representations and nonlinear differential equations for the scaled 2-point functions of the 2D Ising model on the cylinder. These equations generalize well-known results for the infinite lattice (Painlev\'e III equation and the equation for the $\tau$-function of Painlev\'e V).
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2026 1verdicts
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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.