Field theoretic calculation of renormalized viscosity, renormalized resistivity, and energy fluxes of magnetohydrodynamic turbulence - art. no. 026305

A self-consistent renormalization scheme has been applied to nonhelical mag netohydrodynamic (MHD) turbulence with zero cross helicity. Kolmogorov's 5/ 3 power law has been shown to be a consistent solution for d greater than o r equal tod(c)approximate to2.2. For Kolmogorov's solution, both renormaliz ed viscosity and resistivity are positive for the whole range of parameters . Various cascade rates and Kolmogorov's constant for MHD turbulence have b een calculated by solving the flux equation to first order in the perturbat ion series. We find that the magnetic energy cascades forward. The Kolmogor ov constant for d = 3 does not vary significantly with r(A) and is found to be close to the constant for fluid turbulence.