A universal order parameter for Inverse Magnetic Catalysis
arXiv:1706.05977 · doi:10.1007/JHEP10(2017)038
Abstract
We revisit the chiral transition in the finite density Sakai-Sugimoto model and find that, at fixed temperature , the magnetisation near the critical line acts as an order parameter to distinguish Inverse Magnetic Catalysis from Magnetic Catalysis. Moreover, we propose a universal relation between 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 , for the critical line . 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 [JHEP 1103 (2011) 033], based on a semi-analytic approximation.
37 pages, 17 figures; v3: References added; JHEP published version
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