Properties of canonical determinants and a test of fugacity expansion for finite density lattice QCD with Wilson fermions

Properties of canonical determinants and a test of fugacity expansion for finite density lattice QCD with Wilson fermions
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威尔逊费米子有限密度晶格QCD的正则行列式的性质和逸度展开检验

DOI:
10.1103/physrevd.86.014502
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发表时间:
2012
期刊:
影响因子:
5
通讯作者:
C. Gattringer
C. Gattringer
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
J. Danzer;C. Gattringer

文献摘要

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我们分析正则行列式,即投射到固定净夸克数的宏正则行列式。正则行列式是巨正则行列式的逸度展开中的系数,我们使用降维技术将它们计算为巨正则行列式相对于想象的化学势的傅立叶矩。分析了两种质量简并的威尔逊费米子在囚禁/退禁闭交叉点以下和上方的几个温度下的情况。我们讨论了正则行列式的各种性质,并分析了逸度级数在不同温度下的收敛。
We analyze canonical determinants, i.e., grand canonical determinants projected to a fixed net quark number. The canonical determinants are the coefficients in a fugacity expansion of the grand canonical determinant and we evaluate them as the Fourier moments of the grand canonical determinant with respect to imaginary chemical potential, using a dimensional reduction technique. The analysis is done for two mass-degenerate flavors of Wilson fermions at several temperatures below and above the confinement/deconfinement crossover. We discuss various properties of the canonical determinants and analyse the convergence of the fugacity series for different temperatures.