Classical glueballs in non-Abelian Born-Infeld theory

It is shown that the Born-Infeld-type modification of the quadratic Yang-Mi lls action gives rise to classical particlelike solutions prohibited in the standard Yang-Mills theory. This becomes possible due to breaking of the s cale invariance by the Born-Infeld nonlinearity. New classical glueballs, w hich are of a sphaleronic nature, exhibit a striking similarity to the Bart nik-McKinnon solutions to the Yang-Mills theory coupled to gravity.