Abstract
Renormalization group equations for the physical matrix are written for quantum scattering with some potentials singular at the origin in two and three dimensions. The momentum-space perturbative treatment of these scattering problems exhibits ultraviolet divergences and permits renormalization leading to a scale. These equations yield the correct asymptotic behavior and some low-energy properties of the matrix. Illustrations are made for the Dirac delta potential in two and three dimensions.
- Received 29 December 1994
DOI:https://doi.org/10.1103/PhysRevLett.74.4572
©1995 American Physical Society