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

preprint1994arXivOpen access

Abstract

The vacuum energy density is obtained for the O(N)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)O(N). This result is valid for σσ- fields which are subject to the constraint.

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