Abstract
The authors discuss in detail a popular scenario to alleviate the current Hubble tension (different measurements of the expansion rate of the Universe show a 4.4 $\ensuremath{\sigma}$ discrepancy), namely ``early dark energy''. Hereby a false vacuum early on acts as an additional repulsive force (dark energy) but decays quickly enough to remain consistent with numerous other observational data. Contrary to the usual approach, a first order phase transition is considered, allowing in a minimal model a reduction of the tension to 2.5 $\ensuremath{\sigma}$.
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