"Symmetry is not enough by itself. In electromagnetism, for example, if you write down all the symmetries we know, such as Lorentz invariance and gauge invariance, you don’t get a unique theory that predicts the of the electron. The only way to do that is to add the principle of renormalisability – which dictates a high degree of simplicity in the theory and excludes these additional terms that would have changed the magnetic moment of the electron from the value Schwinger calculated in 1948."
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Steven Weinberg, as quoted in an interview by Matthew Chalmers:
https://en.wikiquote.org/wiki/Electromagnetism
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Electromagnetism
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