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A detailed study of the high temperature dynamics of the scalar sector ofLittle Higgs scenarios, proposed to stabilize the electroweak scale, shows thatthe electroweak gauge symmetry remains broken even at temperatures much largerthan the electroweak scale. Although we give explicit results for a particularmodification of the Littlest Higgs model, we expect that the main features aregeneric. As a spin-off, we introduce a novel way of dealing with scalarfluctuations in nonlinear sigma models, which might be of interest forphenomenological applications.Comment: 23 pages, LaTeX, 4 figure

Symmetry nonrestoration at high temperature in little Higgs models