Nonequilibrium quantum dynamics of phase transitions in an expanding universe

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I summarize the derivation of a set of Feynman rules appropriate for the perturbative description of the nonequilibrium dynamics of the symmetry-breaking phase transition in $λϕ^4$ theory in a Robertson-Walker universe. The approximation scheme I develop provides for a treatment of dissipative effects which are essential to an adequate description of the nonequilibrium state. It also provides for the emergence from an initially symmetric state of a final state exhibiting the properties of spontaneous symmetry breaking without the introduction by hand of any explicit symmetry breaking.
7pages, using RevTeX, no figures. Contribution to 5th International Workshop on Thermal Field Theories (Regensburg, August 1998). A few explanatory remarks added

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