Inverse magnetic catalysis in holographic models of QCD

Kiminad A. Mamo

doi:10.1007/JHEP05(2015)121

paper

Inverse magnetic catalysis in holographic models of QCD

arXiv:1501.03262 · doi:10.1007/JHEP05(2015)121

Abstract

We study the effect of magnetic field $B$ on the critical temperature $T_{c}$ of the confinement-deconfinement phase transition in hard-wall AdS/QCD, and holographic duals of flavored and unflavored $N = 4$ super-Yang Mills theories on $R^{3} \times S^{1}$ . For all of the holographic models, we find that $T_{c} (B)$ decreases with increasing magnetic field $B ≪ T^{2}$ , consistent with the inverse magnetic catalysis recently observed in lattice QCD for $B ≲ 1 G e V^{2}$ . We also predict that, for large magnetic field $B ≫ T^{2}$ , the critical temperature $T_{c} (B)$ , eventually, starts to increase with increasing magnetic field $B ≫ T^{2}$ and asymptotes to a constant value.

arXiv comment19 pages, 2 figures, an appendix (which discusses the large magnetic field case) added, references added; typo fixed, more footnotes added, accepted for publication in JHEP

Inverse magnetic catalysis in holographic models of QCD

Abstract

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