%0 Journal Article %T On the Vacuum Energy Density and Non-Perturbative Effects in Sigma Models %A V. G. Ksenzov %J Physics %D 1994 %I arXiv %R 10.1016/0370-2693(94)90214-3 %X The vacuum energy density is obtained for the $O(N)$ nonlinear sigma model. It is shown that non-perturbative contributions are connected with the square of the symmetry current of the group $O(N)$. This result is valid for $\sigma$- fields which are subject to the constraint. %U http://arxiv.org/abs/hep-th/9402123v1