Equation 11 · Part 8 · The Vacuum Has a History: Symmetry Breaking as Speciation
superscript
superscript
What this part means
A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.
Its job in the formula
A raised mark can be a power or an index. Its position and the surrounding notation determine which.
Full expression→superscript→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 exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.
Open the illustrated exponents: repeated multiplication and powers guide →
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.