Solution to the strong CP problem without an axion

We present a solution to the strong CP problem using softly broken parity invariance in the context of left-right-symmetric gauge models with a ''seesaw'' mechanism for quark masses. A distinguishing feature of the model is that the first nonvanishing contribution to bar θ arises only at the two-loop level, whereas the electric dipole moment of the neutron dne is generated at the one-loop level via weak CP violation. For the WR mass at the TeV scale, we estimate dne∼10-25--10-26 e cm and bar θ≤10-12