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Imaginary chemical potential and finite fermion density on the lattice

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arxiv hep-lat/9807039 v1 pith:DAI5WTO6 submitted 1998-07-29 hep-lat

classification hep-lat
keywords chemicalpotentialimaginarydensityfermionfinitelatticeproblem
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The Role of Integration Cycles in Complex Langevin Simulations

    hep-lat 2024-12 conditional novelty 6.0 of 10

    Complex Langevin results in one- and two-dimensional toy models match a linear combination of integration cycles when boundary terms vanish, and the kernel choice controls which cycles contribute.

  2. The Roberge-Weiss endpoint in $(2+1)$-flavor QCD with background magnetic fields

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A background magnetic field lowers the Roberge-Weiss temperature in (2+1)-flavor QCD and turns the transition from second to first order between eB=1.0 and 2.5 GeV^2.

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