Exact scaling function of interface growth dynamics

Strong-coupling properties of the Burgers\char21{}Kardar-Parisi-Zhang equation describing nonequilibrium interface growth are studied. A physical coupling constant is defined and related to the height-height correlation function for arbitrary substrate dimension. In 1+1 dimensions, the exact universal coupling constant and scaling function are computed using a mode-coupling theory. It is found that a finite surface tension is generated from zero, suggesting that macroscopic properties are not affected by the absence of microscopic surface tension.