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Extension to imaginary chemical potential in a holographic model

Kazuo Ghoroku1,*, Kouji Kashiwa1,†, Yoshimasa Nakano‡, Motoi Tachibana2,§, and Fumihiko Toyoda3,∥

  • 1Fukuoka Institute of Technology, Wajiro, Fukuoka 811-0295, Japan
  • 2Department of Physics, Saga University, Saga 840-8502, Japan
  • 3Faculty of Humanity-Oriented Science and Engineering, Kinki University, Iizuka 820-8555, Japan

  • *gouroku@fit.ac.jp
  • †kashiwa@fit.ac.jp
  • ‡ynakano@kyudai.jp
  • §motoi@cc.saga-u.ac.jp
  • ∥f1toyoda@jcom.home.ne.jp
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Phys. Rev. D 102, 046003 – Published 5 August, 2020

DOI: https://doi.org/10.1103/PhysRevD.102.046003

Abstract

We extend a bottom-up holographic model, which has been used in studying the color superconductivity in QCD, to the imaginary chemical potential (μI) region, and the phase diagram is studied on the μI-temperature (T) 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 Nc is found to produce the RW periodicity. It is given as Nc≥1.2. Furthermore, we could assure the validity of this extended model by comparing our result with that of the lattice QCD near μI=0.

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Phys. Rev. D 102, 046003– Published 5 August, 2020
  • Received 1 June 2020
  • Accepted 16 July 2020
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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.

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