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The Fading of Symmetry Non-restoration at Finite Temperature
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abstract
The fate of symmetries at high temperature determines the dynamics of the very early universe. It is conceivable that temperature effects favor symmetry breaking instead of restoration. Concerning global symmetries, the non-linear sigma model is analyzed in detail. For spontaneously broken gauge symmetries, we propose the gauge boson magnetic mass as a ``flag'' for symmetry (non)-restoration. We consider several cases: the standard model with one and two Higgs doublets in the perturbative regime, and the case of a strongly interacting Higgs sector. The latter is done in a model independent way with the tools provided by chiral Lagrangians. Our results clearly point towards restoration, a pattern consistent with recent lattice computations for global symmetries. In addition, we explicitly verify $BRST$ invariance for gauge theories at finite temperature.
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Cited by 1 Pith paper
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Eogenesis via the High-scale Electroweak Symmetry Restoration
A primordial right-handed electron asymmetry, kept out of equilibrium by high-scale electroweak symmetry non-restoration, can be converted by sphalerons into the observed baryon asymmetry without B-L violation.
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