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The ordering dynamics of the Higgs field is studied, using techniques inspired by the study of phase ordering in condensed matter physics, as a first step to understanding the evolution of cosmic structure through the formation of topological defects in the early universe. The common feature of these different physical processes is scaling. A fully analytical approximate scheme -- the linear-gaussian approach -- is proposed to evaluate 1-point, 2-point, etc.\ scaling functions for the orderingdoi:10.1103/physreve.50.2523 pmid:9962288 fatcat:qoosr3cjxfgilgwwlomnzfx7ye