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arXiv · 1706.05977

A universal order parameter for Inverse Magnetic Catalysis

Alfonso Ballon-Bayona·Matthias Ihl·Jonathan P. Shock·Dimitrios Zoakos
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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 [JHEP 1103 (2011) 033], based on a semi-analytic approximation.

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Alfonso Ballon-Bayona, Matthias Ihl, Jonathan P. Shock, Dimitrios Zoakos. 2017-10-09. A universal order parameter for Inverse Magnetic Catalysis. https://doi.org/10.1007/jhep10(2017)038

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