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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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page5,latex,ITEP-28-93

Scientific paper

10.1016/0370-2693(94)90214-3

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.

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