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In non-attractor single-field inflation models producing a scale-invariantpower spectrum, the curvature perturbation on super-horizon scales grows as${\cal R}\propto a^3$. This is so far the only known class of self-consistentsingle-field models with a Bunch-Davies initial state that can produce a largesqueezed-limit bispectrum violating Maldacena's consistency relation. Given theimportance of this result, we calculate the bispectrum with three differentmethods: using quantum field theory calculations in two different gauges, andclassical calculations (the $\delta N$ formalism). All the results agree,giving the local-form bispectrum parameter of$f^{local}_{NL}=5(1+c_s^2)/(4c_s^2)$. This result is valid for arbitrary valuesof the speed of sound parameter, $c_s$, for a particular non-attractor model weconsider in this paper.

In-in and $\delta N$ calculations of the bispectrum from non-attractor single-field inflation