Apart from the obvious problem that we'd have to create enough of them and somehow not let them decay, is there anything that would prevent a Higgs boson condensate?
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Why not? Folks have demonstrated bose-like condensation of fermionic particles ( $He_3$ for example will pair-up to form bosonic units), for one thing. Disclaimer: I know very little about Higgs particles, so for all I know they're always in a condensate state. – Carl Witthoft Sep 16 '15 at 12:38
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1@count_to_10 but surely the particles itself are much more energetic than that? – SuperCiocia Sep 16 '15 at 13:22
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1In a sense the Higgs field itself is a condensate, or rather the result of a tachyon condensation driving the electroweak symmetry breaking, see https://en.wikipedia.org/wiki/Higgs_mechanism and https://en.wikipedia.org/wiki/Tachyon_condensation. – picop Sep 16 '15 at 15:33