Rejoice-The Higgs Potential as a function of temperature (T) •In QFT, temperature changes the vacuum •Nature chooses the vacuum that is (1) a global min. & (2) stable •At high T (e.g. Big Bang), the Higgs will want to be at h=0 at which point all particles become massless!pic.twitter.com/UGMRAfJGcL
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Is it though? At T ~ 150 GeV, the higgs field is also highly excited, so any coupled fermion is going to be picking up an effective mass comparable to its T = 0 one, since 150 GeV is close to the vev. (Though this depends on <V(phi)> vs. <phi>, so not exactly comparable.)
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CM energy is different from temperature
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