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The canonical approach for finite density lattice QCD has a nu merical instability. This instability makes it difficult to use the method reliably at the finite r eal chemical potential region. We studied this instability in detail and found that it is cause d by the cancellation of significant digits. In order to reduce the effect of this cancellation, we adopt t he multiple precision calculation for our discrete Fourier transformation (DFT) program, and we get the canonical partition function ZC(n, T) with required accuracy. From the obtained ZC(n, T), we calculate Lee‐Yang zero distribution varying the number of significant digits. As a resu lt, some curves surround the origin in the fugacity plane, but they are moved by varying the number of significant digits. Hence, we conclude that these curves are pseudo phase transition lines, and not real ones.

Exploring finite density QCD phase transition with canonical approach - Power of multiple precision computation -