Holographic Roberge-Weiss Transitions II: Defect Theories and the Sakai-Sugimoto Model

Details Holographic Roberge-Weiss Transitions II: Defect Theories and the Sakai-Sugimoto Model Holographic Roberge-Weiss Transitions II: Defect Theories and the Sakai-Sugimoto Model

2011-03-11

arxiv.org/abs/1103.2315v3

JHEP 1109:087,2011

Physics

High Energy Physics

High Energy Physics - Theory

39 pages, 12 figures. references added, Sakai-Sugimoto section revised, version to appear in JHEP

Scientific paper

10.1007/JHEP09(2011)087

We extend the work of Aarts et al., including an imaginary chemical potential for quark number into the Sakai-Sugimoto model and codimension k defect theories. The phase diagram of these models are a function of three parameters, the temperature, chemical potential and the asymptotic separation of the flavour branes, related to a mass for the quarks in the boundary theories. We compute the phase diagrams and the pressure due to the flavours of the theories as a function of these parameters and show that there are Roberge-Weiss transitions in the high temperature phases, chiral symmetry restored for the Sakai-Sugimoto model and deconfined for the defect models, while at low temperatures there are no Roberge-Weiss transitions. In all the models we consider the transitions between low and high temperature phases are first order, hence the points where they meet the Roberge-Weiss lines are triple points. The pressure for the defect theories scales in the way we expect from dimensional analysis while the Sakai-Sugimoto model exhibits unusual scaling. We show that the models we consider are analytic in \mu^2 when \mu^2 is small.

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