Resistivity is believed to play an important role in reconnection leading t
o the distinction between resistive and collisionless reconnection. The for
mer is treated in the Sweet-Parker model of long current sheets, and the Pe
tschek model of a small resistive region. Both models in spite of their dif
ferent dynamics attribute to the violation of the frozen-in condition in th
eir diffusion regions due to the action of resistivity, In collisionless re
connection there is little consensus about the processes breaking the froze
n-in condition. The question is whether anomalous processes generate suffic
ient resistivity or whether other processes free the particles from slavery
by the magnetic field. In the present paper we review processes that may c
ause anomalous resistivity in collisionless current sheets. Our general con
clusion is that in space plasma boundaries accessible to in situ spacecraft
, wave levels have always been found to be high enough to explain the exist
ence of large enough local diffusivity for igniting local reconnection. How
ever, other processes might take place as well. Non-resistive reconnection
can be caused by inertia or diamagnetism.