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Equation 11 · Part 3 · The Vacuum Has a History: Symmetry Breaking as Speciation

Symbol A

ΓV=A e−SE,\frac{\Gamma}{V} = A\,e^{-S_E},
AA

What this part means

a prefactor from fluctuations around that solution.

Its job in the formula

A is one of the signed contributions combined to compute the quantity on the left.

Where the article explains it

where SES_E is the Euclidean action evaluated on the classical solution that mediates the tunneling — the “bounce” — and A is a prefactor from fluctuations around that solution.

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…

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Learn the underlying idea

A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.

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Sources cited in the surrounding passage

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