Reinvestigation of the sign problem in the two-dimensional Hubbard model

We reinvestigate the sign problem in the two-dimensional Hubbard model using the projector ground state Quantum Monte Carlo scheme with Langevin dynamics. Our interest is mainly motivated by the question: what is the parameter space in which simulations may be performed with reliable results and how does the average sign scales with inverse temperature? In the parameter space in which one may omit the sign problem we have studied the ground state properties: momentum distribution and spin structure. We find an exponential decay of the average sign. At half filling, we find evidence for an antiferromagnetic insulating ground state. At off half band fillings, the antiferromagnetic state is destroyed leaving place to an incommensurate spin density state.