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

Jeroen Snippe, Pierre van Baal

hep-latarXiv:hep-lat/9411055

Abstract

We construct all instantons in the \ on a cylindrical space-time, known not to exist on a finite time interval. The scale parameter, ρ, is related to the boundary condition in time. This may cure the ρ→0 divergent instanton gas, through a proper inclusion of in and out states in the path integral.

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