# The 34th International Symposium on Lattice Field Theory (Lattice 2016)

24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

## Roberge-Weiss periodicity and confinement-deconfinement transition

25 Jul 2016, 17:45
20m
Building 32 Room 1015 (Highfield Campus, University of Southampton)

### Building 32 Room 1015

#### Highfield Campus, University of Southampton

Talk Nonzero Temperature and Density

### Speaker

Dr Kouji Kashiwa (Yukawa Institute for Theoretical Physics, Kyoto University)

### Description

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 Aharonov-Bohm 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 $\theta$ where $\theta$ is the dimensionless imaginary chemical potential. Expected behavior of it at finite temperature is discussed and its asymptotic behaviors are shown.

### Primary author

Dr Kouji Kashiwa (Yukawa Institute for Theoretical Physics, Kyoto University)

### Co-author

Prof. Akira Ohnishi (Yukawa Institute for Theoretical Physics, Kyoto University)

 Slides