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It has been shown that Sakharov's induced, from the fields entering the standard model, Barbero–Immirzi parameter γ assumes, in the framework of Euclidean formalism, the UV cutoff-independent value, 1/9. The calculus uses the Schwinger's proper-time formalism, the Seeley–DeWitt heat-kernel expansion, and it is akin to the derivation of the ABJ chiral anomaly in space–time with torsion.
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