New Instanton and Meron Solutions of a Generally Covariant Four-Dimensional sigma Model

摘要

We construct new solutions of the four-dimensional sigma model coupled to the metric tensor field and having an internal 0(5) invariance. Our solutions interpolate continuously between the known instanton and meron solutions depending upon a parameter f. We find that the typical domain for the instantons is 2 < f <= 3 while for the merons is 0 <= f <= 2. (Atomindex citation 15:065949)