On the Calculation of the Vacuum Energy Density in Sigma Models

Details On the Calculation of the Vacuum Energy Density in Sigma Models On the Calculation of the Vacuum Energy Density in Sigma Models

1995-11-08

arxiv.org/abs/hep-th/9511055v1

Phys.Lett. B367 (1996) 237-241

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex

Scientific paper

10.1016/0370-2693(95)01420-9

The vacuum energy density is calculated for the $O(N)$ nonlinear sigma models in two dimensions. To obtain $\varepsilon_{vac}$ we assume that each point of the space in which non-perturbative f\/ields are determined can be replaced by a sphere $S^2$ having a small radius $r$ which approaches zero at the very end of the calculation. This assumption allows to get the classical f\/ields generating v.e.v. of the trace of the energy-momentum tensor.

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