title: Anomalous scaling and large-scale anisotropy in magnetohydrodynamic turbulence: two-loop renormalization-group analysis of the Kazantsev-Kraichnan kinematic model.
abstract: The field theoretic renormalization group and operator product expansion are applied to the Kazantsev-Kraichnan kinematic model for the magnetohydrodynamic turbulence. The anomalous scaling emerges as a consequence of the existence of certain composite fields ("operators") with negative dimensions. The anomalous exponents for the correlation functions of arbitrary order are calculated in the two-loop approximation (second order of the renormalization-group expansion), including the anisotropic sectors. The anomalous scaling and the hierarchy of anisotropic contributions become stronger due to those second-order contributions.
authors.affiliation: Department of Theoretical Physics, St Petersburg University, Uljanovskaja 1, St Petersburg-Petrodvorez, 198904 Russia.
authors.forename: N V
authors.initials: NV
authors.lastname: Antonov
authors.forename: N M
authors.initials: NM
authors.lastname: Gulitskiy
mesh_terms: D000465:Algorithms; D016880:Anisotropy; D001696:Biomechanical Phenomena; D003198:Computer Simulation; D057446:Hydrodynamics; D060526:Magnetic Fields; D008962:Models, Theoretical; D012212:Rheology / Q000379:methods*