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On the Vacuum Energy Density and Non-Perturbative Effects in Sigma Models

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 $σ$- fields which are subject to the constraint.

preprint1994arXivOpen access

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