Abstract
Quantization of fractional Klein–Gordon field and fractional electromagnetic potential in the Coulomb gauge and the temporal gauge can be carried out using a modification of the quantization method based on stochastic mechanics. The usual oscillator process is replaced by a fractional oscillator process which satisfied a fractional Langevin equation. Properties of these fractional fields are discussed. We also show that the Parisi–Wu stochastic quantization method can be applied to fractional fields.
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