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Using dimensional regularization, we compute the one-loop quantum and thermalcorrections to the profile of the bosonic 1+1-dimensional phi^4 kink, thesine-Gordon kink and the CP^1 kink, and higher-dimensional phi^4 kink domainwalls. Starting from the Heisenberg field equation in the presence of thenontrivial kink background we derive analytically results for thetemperature-dependent mean field which display the onset of the melting ofkinks as the system is heated towards a symmetry restoring phase transition.The result is shown to simplify significantly when expressed in terms of aself-consistently defined thermal screening mass. In the case of domain walls,we find infrared singularities in the kink profile, which corresponds tointerface roughening depending on the system size. Finally we calculate theenergy density profile of phi^4 kink domain walls and find that in contrast tothe total surface tension the local distribution requires composite operatorrenormalization in 3+1 dimensions.

One-loop results for kink and domain wall profiles at zero and finite temperature