Saddle-point self-duality methods agree with variational results on free energy in 2D critical scalar theory but differ by about 25% on the correlation length peak location.
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Testing Scalar Field Self-Dualities in d=2 using a Variational Method
Saddle-point self-duality methods agree with variational results on free energy in 2D critical scalar theory but differ by about 25% on the correlation length peak location.