Okay, these questions aren't completely about the Higgs, but it is a good starting point / explicit example.(adsbygoogle = window.adsbygoogle || []).push({});

After spontaneous symmetry breaking occurs, such that the vacuum state itself no longer has the symmetry of the Lagrangian, will there always be something equivalent to a Higgs (amassivegoldstone boson)?

Because the vacuum state now has a non-zero expectation of these massive bosons, wouldn't that mean there is only one inertial frame in which the Higgs expectation energy-momentum four-vector has zero in the components for momentum? (ie. there exists a "higgs background rest frame"?) I assume the answer is no, but I'd like some explanation of why.

Which leads to the third question,is it theoretically possibleto have Lorentz symmetry be a symmetry of the Lagrangian, but have some expectation value of the vacuum violate this? Or can onlygaugesymmetries be affected in this manner, and Lorentz symmetry is not a gauge symmetry?

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# Higgs vacuum energy-momentum

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