High energy behaviour for nonrelativistic scattering by stationary external metrics and YangMills potentials
Abstract
Using Krein's formula, we establish regularity properties of the total phase schift in the energy. Assuming an asymptotic expansion at high energies, we compute the first fewcoefficiencts. They are shown to be related to the known coefficients in the high temperature expansion of the Gibbs distribution for the same Hamiltonian. Analyzing the sign of the phase shift, we argue that YangMills potentials act repulsively on scalar particles and attractively on spin 1/2 particles, at least for very small and very high energies.
 Publication:

Zeitschrift fur Physik C Particles and Fields
 Pub Date:
 March 1980
 DOI:
 10.1007/BF01477304
 Bibcode:
 1980ZPhyC...4...27S