  The problem of the ultraviolet divergences that arise in describing the
nucleon dynamics at low energies is considered. By using the example of an
exactly solvable model it is shown that after renormalization the interaction
generating nucleon dynamics is nonlocal in time. Effects of such nonlocality on
low-energy nucleon dynamics are investigated. It is shown that nonlocality in
time of nucleon-nucleon interactions gives rise to an anomalous off-shell
behavior of the two-nucleon amplitudes that have significant effects on the
dynamics of many-nucleon systems.
