Abstract
We extend a bottom-up holographic model, which has been used in studying the color superconductivity in QCD, to the imaginary chemical potential () region, and the phase diagram is studied on the -temperature () plane. The analysis is performed for the case of the probe approximation and for the background, where the backreaction from the flavor fermions is taken into account. For both cases, we could find the expected Roberge-Weiss (RW) transitions. In the case of the backreacted solution, a bound of the color number is found to produce the RW periodicity. It is given as . Furthermore, we could assure the validity of this extended model by comparing our result with that of the lattice QCD near .
- Received 1 June 2020
- Accepted 16 July 2020
DOI:https://doi.org/10.1103/PhysRevD.102.046003
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society