Dynamic Isotropic Percolation Process: Three-Loop Approximation

The universal properties of the dynamic isotropic percolation process are analyzed employing the field-theoretic perturbative renormalization group approach. In particular, our aim is to discuss recent developments related to the three-loop calculations of the dynamic exponent $$z$$ . The model is studied in the vicinity of the upper critical dimension $${{d}_{{\text{c}}}} = 6$$ by means of dimensional regularization and accompanied by the minimal subtraction method for an extraction of ultraviolet divergences. Preliminary results are presented for selected topologies of three-loop Feynman diagrams appearing in the Dyson equation for the propagator of the model.