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On the transition temperature(s) of magnetized two-flavour holographic QCD

2013/03/31 by N. Callebaut, D. Dudal · 1 citation
Physics and Astronomy · #hep-th #hep-ph

paper · pdf · doi:10.1103/physrevd.87.106002

published as Phys.Rev. D87 (2013) 106002 · 15 pages, 10 figures, v2: added reference

arxiv created 2013/04/22 · arxiv updated 2013/11/01

Abstract

During heavy ion collisions, high temperatures and strong magnetic fields are generated. We employ the gauge-gravity duality to study the Nf=2 QCD phase diagram under these extreme conditions in the quenched approximation, in particular we use the non-antipodal Sakai-Sugimoto model (SSM). We take the different coupling of up and down flavours to the magnetic field into account geometrically, resulting in a split of the chiral phase transition according to flavour. We discuss the influence of the magnetic field on the chiral temperatures -in physical GeV units- in terms of the choice of the confinement scale in the model, extending hereby our elsewhere presented discussion of fixing the non-antipodal SSM parameters to the deconfinement phase. The flavour-dependent (T,L,eB) phase diagram, with variable asymptotic brane-antibrane separation L, is also presented, as a direct generalization of the known (T,L) phase diagram of the non-antipodal SSM at zero magnetic field. In particular, for sufficiently small L we are probing a NJL-like boundary field theory in which case we do find results very reminiscent of the predictions in NJL models.

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