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- W1712373753 abstract "The expectation value of the complex phase factor of the fermion determinant is computed to leading order in the $p$ expansion of the chiral Lagrangian. The computation is valid for $ensuremath{mu}<{m}_{ensuremath{pi}}/2$ and determines the dependence of the sign problem on the volume and on the geometric shape of the volume. In the thermodynamic limit with ${L}_{i}ensuremath{rightarrow}ensuremath{infty}$ at fixed temperature $1/{L}_{0}$, the average phase factor vanishes. In the low temperature limit where ${L}_{i}/{L}_{0}$ is fixed as ${L}_{i}$ becomes large, the average phase factor approaches 1 for $ensuremath{mu}<{m}_{ensuremath{pi}}/2$. The results for a finite volume compare well with lattice results obtained by Allton et al. After taking appropriate limits, we reproduce previously derived results for the $ϵ$ regime and for one-dimensional QCD. The distribution of the phase itself is also computed." @default.
- W1712373753 created "2016-06-24" @default.
- W1712373753 creator A5057418168 @default.
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- W1712373753 date "2008-01-29" @default.
- W1712373753 modified "2023-10-18" @default.
- W1712373753 title "Approach to the thermodynamic limit in lattice QCD atμ≠0" @default.
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- W1712373753 doi "https://doi.org/10.1103/physrevd.77.014514" @default.
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