Imaginary chemical potential and finite fermion density on the lattice

Details Imaginary chemical potential and finite fermion density on the lattice Imaginary chemical potential and finite fermion density on the lattice

1998-07-29

arxiv.org/abs/hep-lat/9807039v1

Phys.Rev.D59:054502,1999

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, LaTeX

Scientific paper

10.1103/PhysRevD.59.054502

Standard lattice fermion algorithms run into the well-known sign problem at real chemical potential. In this paper we investigate the possibility of using imaginary chemical potential, and argue that it has advantages over other methods, particularly for probing the physics at finite temperature as well as density. As a feasibility study, we present numerical results for the partition function of the two-dimensional Hubbard model with imaginary chemical potential. We also note that systems with a net imbalance of isospin may be simulated using a real chemical potential that couples to I_3 without suffering from the sign problem.

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