A review of the present status of the theory of magnetic reconnection
is given. In strongly collisional plasmas reconnection proceeds via re
sistive current sheets, i.e. quasi-stationary macroscopic Sweet-Parker
sheets at intermediate values of the magnetic Reynolds number R-m, or
mirco-current sheets in MHD turbulence, which develops at high R-m. I
n hot, dilute plasmas the reconnection dynamics is dominated by nondis
sipative effects, mainly the Hall term and electron inertia. Reconnect
ion rates are found to depend only on the ion mass, being independent
of the electron inertia and the residual dissipation coefficients. Sma
ll-scale whistler turbulence is readily excited giving rise to an anom
alous electron viscosity. Hence reconnection may be much more rapid th
an predicted by conventional resistive theory.