The gas clouds of the interstellar medium have a fractal structure, the
origin of which has generally been thought to lie in turbulence. The energy of
turbulence could come from galactic rotation at large-scale, then cascade down
to be dissipated on small-scales by viscosity; it has been suggested that such
turbulence helps to prevent massive molecular clouds from collapsing in
response to their own gravity. Here we show that, on the contrary, self-gravity
itself may be the dominant factor in making clouds fractal. We develop a
field-theory approach to the structure of clouds, assuming them to be
isothermal, and with only gravitational interactions; we find that the observed
fractal dimension of the clouds arise naturally from this approach. Although
this result does not imply that turbulence is not important, it does
demonstrate that the fractal structure can be understood without it.Comment: Latex file, four pages and two colour figures in .cps files. To
appear in Nature, 5 September 199