Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1996-06-25
Physics
High Energy Physics
High Energy Physics - Theory
9 pages , tex file
Scientific paper
We study two dimensional freely decaying magnetohydrodynamic turbulence. We investigate the time evolution of the probability law of the gauge field and the stream function. Assuming that this probability law is initially defined by a statistical field theory in the basin of attraction of a renormalisation group fixed point, we show that its time evolution is generated by renormalisation transformations. In the long time regime, the probability law is described by non-unitary conformal field theories. In that case, we prove that the kinetic and magnetic energy spectra are proportional. We then construct a family of fixed points using the $(p,p+2)$ non-unitary minimal models of conformal field theories.
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