We investigate a version of fixed scalars for nondilatonic branes whic
h correspond to dilatations of the brane world-volume. We obtain a cro
ss section whose world-volume interpretation falls out naturally from
an investigation of the breaking of conformal invariance by the irrele
vant Born-Infeld corrections to Yang-Mills theory. From the same irrel
evant world-volume operator we obtain the leading correction to the cr
oss sections of minimal scalars. This correction can be obtained in su
pergravity via an improved matching of inner and outer solutions to th
e minimal wave equation. (C) 1998 Elsevier Science B.V.