Journal
PHYSICAL REVIEW D
Volume 82, Issue 9, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.82.094027
Keywords
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Funding
- [20340055]
- [20105003]
- Grants-in-Aid for Scientific Research [20105003] Funding Source: KAKEN
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We present a formula for reducing the rank of Wilson fermions from 4N(c)N(x)N(y)N(z)N(t) to 4N(c)N(x)N(y)N(z) keeping the value of its determinant. We analyze eigenvalues of a reduced matrix and coefficients C-n in the fugacity expansion of the fermion determinant Sigma C-n(n)(exp(mu/T))(n), which play an important role in the canonical formulation, using lattice QCD configurations on a 4(4) lattice. Numerically, log vertical bar C-n vertical bar varies as NxNyNz, and goes easily over the standard numerical range. We give a simple cure for that. The phase of Cn correlates with the distribution of the Polyakov loop in the complex plain. These results lay the groundwork for future finite density calculations in lattice QCD.
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