We investigate the cosmological evolution of global monopoles in the radiation dominated ( RD ) and matter dominated ( MD ) universes by numerically solving field equations of scalar fields .
It is shown that the global monopole network relaxes into the scaling regime , unlike the gauge monopole network .
The number density of global monopoles is given by n ( t ) \simeq ( 0.43 \pm 0.07 ) / t ^ { 3 } during the RD era and n ( t ) \simeq ( 0.25 \pm 0.05 ) / t ^ { 3 } during the MD era .
Thus , we have confirmed that density fluctuations produced by global monopoles become scale invariant and are given by \delta \rho \sim 7.2 ( 5.0 ) \sigma ^ { 2 } / t ^ { 2 } during the RD ( MD ) era , where \sigma is the breaking scale of the symmetry .