Large n-Expansion Limit of the Three-Dimensional Ferromagnetic Quantum Phase Transition

We use the large n-expansion method to study the role of the long-range interaction, topological and dissipation effects for the case of an itinerant quantum ferromagnet in the limit of the Landau–Ginzburg–Wilson theory. In the one-loop approximation, we calculate the explicit form of the electronic self-energy as a result of electron–fluctuation interaction and extract the temperature dependence of the scattering time. The temperature dependence of the relative resistivity shows that both the dissipative and topological terms of the action determine the non-Fermi behavior of the system in the critical region around the quantum phase transition.