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Is the electroweak theory a chiral theory regardless of whether one is above the electroweak symmetry breaking temperature or not?

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    $\begingroup$ Yes, it breaks chiral symmetry explicitly and thus this symmetry is never restored at high-energy $\endgroup$
    – innisfree
    Commented Dec 4, 2015 at 13:05

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Yes, the SM is chiral regardless of temperature. Parity is broken explicitly (not spontaneously) and thus this symmetry is never restored at high temperatures.

There are howere left-right symmetric extensions of the SM, in which parity is indeed broken spontaneously at low energies and would be restored at high temperature.

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