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Lee-Yang zero analysis for the study of QCD phase structure
Lee-Yang zero analysis for the study of QCD phase structure
Ejiri, S.
11007
We comment on the Lee-Yang zero analysis for the study of the phase structure of QCD at high temperature and baryon number density by Monte-Carlo simulations. We find that the sign problem for nonzero density QCD induces a serious problem in the finite volume scaling analysis of the Lee-Yang zeros for the investigation of the order of the phase transition. If the sign problem occurs at large volume, the Lee-Yang zeros will always approach the real axis of the complex parameter plane in the thermodynamic limit. This implies that a scaling behavior which would suggest a crossover transition will not be obtained. To clarify this problem, we discuss the Lee-Yang zero analysis for SU(3) pure gauge theory as a simple example without the sign problem, and then consider the case of nonzero density QCD. It is suggested that the distribution of the Lee-Yang zeros in the complex parameter space obtained by each simulation could be more important information for the investigation of the critical endpoint in the (T,μ q ) plane than the finite volume scaling behavior.
journal article
American Physical Society
2006-03
application/pdf
Physical Review D
5
73
054502
Physical Review D
AA00773624
15507998
https://niigata-u.repo.nii.ac.jp/record/2301/files/73_5_054502.pdf
eng
info:doi/10.1103/PhysRevD.73.054502
(C) 2006 American Physical Society