Abstract
In this review, we present of an overview of several interesting properties of QCD at finite imaginary chemical potential and those applications to exploring the QCD phase diagram. The most important properties of QCD at a finite imaginary chemical potential are the Roberge–Weiss periodicity and the transition. We summarize how these properties play a crucial role in understanding QCD properties at finite temperature and density. This review covers several topics in the investigation of the QCD phase diagram based on the imaginary chemical potential.
Highlights
Understanding nonperturbative properties of quantum chromodynamics (QCD) at finite temperature (T) and chemical potential (μ) is one of the important and interesting subjects in the elementary particle, nuclear and hadron physics
In addition to the sign problem, the imaginary chemical potential may provide us with important and interesting knowledge about the confinement phenomena: in ordinary understanding of the confinement–deconfinement transition at a finite temperature in QCD, there are no “phase transitions”, i.e., the crossover; there are no singularities in local order-parameters and the thermodynamic quantities
We find the cusp of the effective potential and the gap of the quark number density at θ = (2k − 1)π/3 and we can find the first-order RW transition; for example, see Figure 1 which is the Polyakov-loop extended Nambu–Jona–Lasinio (PNJL) model result, but the PNJL model provides us the same behavior of the perturbative effective potential at high T. (For example, see Refs. [42,50] for results of the PNJL model) and Ref. [25]
Summary
Understanding nonperturbative properties of quantum chromodynamics (QCD) at finite temperature (T) and chemical potential (μ) is one of the important and interesting subjects in the elementary particle, nuclear and hadron physics. In addition to the sign problem, the imaginary chemical potential may provide us with important and interesting knowledge about the confinement phenomena: in ordinary understanding of the confinement–deconfinement transition at a finite temperature in QCD, there are no “phase transitions”, i.e., the crossover; there are no singularities in local order-parameters and the thermodynamic quantities. It has been recently discussed in Ref.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
