A NEW APPROACH TO INSTANTON CALCULATIONS IN THE O(3) NONLINEAR SIGMA-MODEL

摘要

We construct all instantons in the O(3) sigma-model 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 --> 0 divergent instanton gas, through a proper inclusion of in and out states in the path integral. [References: 19]