Deconfinement and chiral transition in AdS/QCD wall models supplemented with a magnetic field

¹ KU Leuven Campus Kortrijk - KULAK, Department of Physics, Etienne Sabbelaan 51 bus 7800, 8500 Kortrijk, Belgium
² Ghent University, Department of Physics and Astronomy, Krijgslaan 281-S9, 9000 Gent, Belgium
³ Departamento de Física, Universidade Federal Rural do Rio de Janeiro, BR 465-07, 23890-971, Seropédica, RJ, Brasil
⁴ Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, USA

^a e-mail: david.dudal@kuleuven.be
^b e-mail: diegorochagranado@ufrrj.br
^c e-mail: tmertens@princeton.edu

Published online: 22 March 2017

Abstract

We discuss the phenomenon of (inverse) magnetic catalysis for both the deconfinement and chiral transition. We discriminate between the hard and soft wall model, which we suitably generalize to include a magnetic field. Our findings show a critical deconfinement temperature going down, in contrast with the chiral restoration temperature growing with increasing magnetic field. This is at odds with contemporary lattice data, so the quest for a holographic QCD model capable of capturing inverse magnetic catalysis in the chiral sector remains open.