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arxiv: hep-lat/9411055 · v2 · submitted 1994-11-25 · ✦ hep-lat

A new approach to instanton calculations in the O(3) nonlinear sigma model

classification ✦ hep-lat
keywords instantontimeapproachboundarycalculationsconditionconstructcure
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We construct all instantons in the \nlsig\ on a cylindrical space-time, known not to exist on a finite time interval. The scale parameter, $\rho$, is related to the boundary condition in time. This may cure the $\rho\rightarrow0$ divergent instanton gas, through a proper inclusion of in and out states in the path integral.

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