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The Second Derivative of the Potential Near Its Minimum
The mass of the scaler field is related to the curvature of the potential near its minimum, ok? Because if you think about it, so there's some value that the potent has and then it has a first derivative. And by slow we mean it takes longer than the current age of the universe to roll down its potential. Unlike the higs or the axion or the pyon, this field is not sitting at the bottom of its potential.