Exploring finite density QCD phase transition with canonical approach Power of multiple precision computation
Abstract
The canonical approach for finite density lattice QCD has a numerical instability. This instability makes it difficult to use the method reliably at the finite real chemical potential region. We studied this instability in detail and found that it is caused by the cancellation of significant digits. In order to reduce the effect of this cancellation, we adopt the 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 LeeYang zero distribution varying the number of significant digits. As a result, 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.
 Publication:

arXiv eprints
 Pub Date:
 November 2015
 arXiv:
 arXiv:1511.04711
 Bibcode:
 2015arXiv151104711O
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 Proceedings of the 33rd International Symposium on Lattice Field Theory, LATTICE2015, Kobe, Japan, 1418 July 2015