TY - JOUR
T1 - Imaginary chemical potential and finite fermion density on the lattice
AU - Alford, Mark
AU - Kapustin, Anton
AU - Wilczek, Frank
PY - 1999
Y1 - 1999
N2 - Standard lattice fermion algorithms run into the well-known sign problem with a real chemical potential. In this paper we investigate the possibility of using an 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 an 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 (Formula presented) without suffering from the sign problem.
AB - Standard lattice fermion algorithms run into the well-known sign problem with a real chemical potential. In this paper we investigate the possibility of using an 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 an 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 (Formula presented) without suffering from the sign problem.
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U2 - 10.1103/PhysRevD.59.054502
DO - 10.1103/PhysRevD.59.054502
M3 - Article
AN - SCOPUS:16644379877
SN - 1550-7998
VL - 59
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
IS - 5
ER -