Morse simulation of the global monopole equation in flat spacetime

Abstract

We show that a Morse-type potential simulates an analytic solution for the highly nonlinear global monopole field equation in three and higher-dimensional flat spacetimes. Owing to the fact that in the flat space limit the similar equation remains intact, we wish to borrow the curved space terminology of global monopole also in flat spacetime. This may provide a compelling example that can be used effectively in different nonlinear theories such as flat space phi(4), as well as in curved spacetimes.