Abstract
We studied the magnetic effects on the chiral transition and the melting properties of vector and axial-vector mesons in the improved soft-wall AdS/QCD model under a charged magnetic background, which is solved perturbatively from an Einstein–Maxwell system with a negative cosmological constant. The phase diagrams for both chiral transition and meson melting have been obtained. We show that the inverse magnetic catalysis emerged naturally in the improved soft-wall model. We also find that the magnetic field can induce meson melting, at least for the vector and axial-vector mesons, in our holographic setup.
Highlights
The QCD phase diagram in the presence of a magnetic field has been studied extensively over the past decades [1]
We obtain the phase diagram for both cases with the existence of magnetic field, and we find that the inverse magnetic catalysis manifests in both cases
The background magnetic field is introduced by a charged magnetic black hole solution which is solved perturbatively from an Einstein–Maxwell system with a negative cosmological constant [92]
Summary
The QCD phase diagram in the presence of a magnetic field has been studied extensively over the past decades [1]. The lattice simulations have indicated that the critical temperature decreases with the increase of the magnetic field, which is termed inverse magnetic catalysis (IMC) [8,9] This effect conforms with some earlier results obtained from chiral perturbation theory [10] or the bag model [11]. [84], the author computed the deconfinement critical temperature under the influence of a background magnetic field within the hard-wall model and the holographic duals of flavored and unflavored N = 4 super Yang–Mills theories on R3 × S1, and showed that the inverse magnetic catalysis happens for these cases when B T 2. We will give a further study on the QCD phase diagram in the improved soft-wall AdS/QCD model with a charged magnetic background, which can be solved perturbatively from an Einstein–Maxwell system [92].
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