The finite-temperature phase diagram of the Hubbard model in d = 3 is obtai
ned from renormalization-group analysis. It exhibits, around half filling,
an antiferromagnetic phase and, between 30%-40% electron or hole doping fro
m half filling, a new tau phase in which the electron hopping strength t as
ymptotically becomes infinite under repeated rescalings. Next to the tau ph
ase, a first-order phase boundary with very narrow phase separation (less t
han 2% jump in electron density) occurs. At temperatures above the tau phas
e, an incommensurate spin modulation phase is indicated. In d = 2, we find
that the Hubbard model has no phase transition at finite temperature.