**Roberge-Weiss periodicity and confinement-deconfinement transition**

*K. Kashiwa, A. Ohnishi*

in 34th annual International Symposium on Lattice Field Theory

Contribution: pdf

**Abstract**

We propose a new determination of the confinement-deconfinement transition by using the imaginary

chemical potential. The imaginary chemical potential can be interpreted as the AharonovBohm

phase and then an analogy of the topological-order suggests that the Roberge-Weiss endpoint

would define the deconfinement temperature. Based on the topological property, we can

construct a new quantity which describes the confinement-deconfinement transition. This quantity

is defined as the integral of the quark number susceptibility along the closed loop of θ where

θ is the dimensionless imaginary chemical potential. Expected behavior of it at finite temperature

is discussed and its asymptotic behaviors are shown.