2020/05/29 by Kazuo Ghoroku, Kouji Kashiwa, Y. Nakano +3 · 12 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Complex plane #Cosmology and Gravitation Theories #Extension (predicate logic) #Fermion #Holography #Lattice (music) #Mathematical analysis #Mathematical physics #Mathematics #Phase (matter) #Phase diagram #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #The Imaginary #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.102.046003
published in Physical review. D/Physical review. D. 102(4) (American Physical Society) · 18 pages, 6 figures
arxiv created 2020/05/29 · openalex publication_date 2020/08/05 · arxiv updated 2020/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We extend a bottom-up holographic model, which has been used in studying the color superconductivity in QCD, to the imaginary chemical potential (\ensuremathμI) region, and the phase diagram is studied on the \ensuremathμI-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\ensuremath≥1.2. Furthermore, we could assure the validity of this extended model by comparing our result with that of the lattice QCD near \ensuremathμI=0.