Equation 11 · Part 5 · The Vacuum Has a History: Symmetry Breaking as Speciation
=
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What this part means
The expressions on both sides represent the same quantity under the stated assumptions.
Its job in the formula
The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.
Full expression→=→Article meaning
The passage around this formula
If the electroweak vacuum is a local minimum rather than the global one, then in a quantum theory it is not perfectly stable; it can, in principle, decay by quantum tunneling to a lower-energy configuration, a possibility with no analogue in classical statistical mechanics. Coleman’s 1977 paper “Fate of the false vacuum” put the semiclassical machinery for this process on rigorous footing, treating decay as bubble nucleation: a small region of true vacuum appears through tunneling, and if the bubble is large enough that the volume energy released by the lower-energy interior outweighs the surface energy cost of the wall separating it from the surrounding false vacuum, the bubble expands,…
Learn the underlying idea
An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.
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Sources cited in the surrounding passage
- [7] Fate of the false vacuum: semiclassical theory ↗
- [8] Gravitational effects on and of vacuum decay ↗
- [12] Investigating the near-criticality of the Higgs boson ↗
These citations provide research context; check each source for the exact claim it supports.