Exponential corrections to low-temperature expansion of 2D non-abelian models

The thermodynamic limit of certain exponential corrections to the weak coupling expansion of two-dimensional models is investigated. The expectation values of operators contributing to the first order coefficient of the low-temperature expansion of the free energy are calculated for the order O(e^{-\beta}). They are proven to diverge logarithmically with the volume for non-abelian models.