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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
As you can see, the Higgs potential changes its character when Tc~150 GeV, at which point it becomes energetically favorable to be at h=0 In cosmology this behavior is known as the 'Electroweak Phase Transition', since its when all fundamental particles acquire masspic.twitter.com/JevnbJj04I
This might help clear up some confusion In the Standard Model, the masses of all fundamental particles are proportional to the value of (h) that minimizes the Higgs potential We denote this special value as〈h〉, and give it the name Vacuum Expectation Value (VEV)pic.twitter.com/HEAv8Wsl2W
Clarification (Tweet 2) should read: T~Tc, where Tc~150 GeV
It’s also worth noting: I’ve plotted the exact potential that the Standard Model predicts at large T
glad you found your missing minus sign.
Oh my god, this is like the Landau thing we've been doing in Collective Phenomena and Phase Transitions classes.
I think they call it cross-over.
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