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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Does “fundamental” mean gauge field then? Reasonable
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Fundamental just means non bound states—the standard model fields above the confinement scale
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Mass terms introduce unwanted new terms in the Lagrangian when you change your gauge, breaking the invariance of the laws of physics under gauge change. On the other hand, the Higgs mechanism provides a gauge-invariant equivalent to a mass term to massless particles.
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