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ID 30871
file
creator
Nagata, Keitaro
NDC
Physics
abstract
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.
journal title
Physical Review D
volume
Volume 82
start page
094027-1
end page
094027-13
date of issued
2010-11-23
publisher
American Physical Society
issn
1550-7998
ncid
publisher doi
language
eng
nii type
Journal Article
HU type
Journal Articles
DCMI type
text
format
application/pdf
text version
publisher
rights
Copyright (c) 2010 The American Physical Society
relation url
department
Information Media Center