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

Abstract

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 $\rho \to 0$ divergent instanton gas, through a proper inclusion of in and out states in the path integral.

References added and corrected. Contribution to Lattice'94, 27 Sep - 1 Oct 1994, Bielefeld, Germany. 3 pages PostScript, uuencoded compressed

References in corpus (2)

• Perfect lattice action for asymptotically free theories
• Tunneling Through Sphalerons: The O(3) Sigma-Model on a Cylinder

Cited by in corpus (3)

• Resurgence and Trans-series in Quantum Field Theory: The CP(N-1) Model
• Yang-Mills Theory as a Deformation of Topological Field Theory, Dimensional Reduction and Quark Confinement
• Vacuum structure of CP^N sigma models at theta=pi