Antiferromagnetic and superconducting order parameters and critical temperatures in the two-dimensional Hubbard model

We analyse the competition of antiferromagnetism and superconductivity
in the two-dimensional Hubbard model at moderate coupling. By using the
functional renormalization group in its fully dynamical implementation,
we compute the flow of the vertex function and of the magnetic and superconducting
order parameters. In spite of strong frequency dependences of the effective
interations and the pairing gap, we confirm important physical results
from previous static functional renormalization group calculations.
The magnetic critical temperature is interpreted as the onset of pseudogap
behavior. Computing the Kosterlitz-Thouless temperature from the superfluid
phase stiffness, we obtain a superconducting dome in the (p,T) phase diagram
centered around 15 percent hole doping.