# Morse simulation of the Global Monopole equation in flat spacetime

## TL;DR

This paper demonstrates that a Morse potential can effectively simulate solutions to the complex global monopole field equations in flat spacetime, offering a versatile approach for various non-linear theories.

## Contribution

It introduces a Morse potential-based simulation method for the global monopole equations in flat spacetime, bridging curved and flat space analyses.

## Key findings

- Morse potential accurately models global monopole solutions
- Applicable to higher-dimensional flat spacetimes
- Provides a new tool for non-linear field theory simulations

## Abstract

We show that a Morse type potential simulates an analytic solution for the highly non-linear 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 non-linear theories such as flat space $\phi ^{4},$ as well as in curved spacetimes.