Abstract
We revisit the chiral transition in the finite density Sakai-Sugimoto model and find that, at fixed temperature T, the magnetisation near the critical line μ c (B) acts as an order parameter to distinguish Inverse Magnetic Catalysis from Magnetic Catalysis. Moreover, we propose a universal relation between μ c (B) and the magnetisation that allows us to predict the behaviour of the former from the behaviour of the latter. We find that a similar relation holds, at fixed chemical potential μ, for the critical line T c (B). Our results are obtained by investigating a fully numerical solution to the relevant equations. At low temperatures our results reduce to those obtained by Preis, Rebhan and Schmitt [1], based on a semi-analytic approximation.
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Ballon-Bayona, A., Ihl, M., Shock, J.P. et al. A universal order parameter for Inverse Magnetic Catalysis. J. High Energ. Phys. 2017, 38 (2017). https://doi.org/10.1007/JHEP10(2017)038
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DOI: https://doi.org/10.1007/JHEP10(2017)038