Abstract
We refine an earlier introduced 5-dimensional gravity solution capable of holographically capturing several qualitative aspects of (lattice) QCD in a strong magnetic background such as the anisotropic behaviour of the string tension, inverse catalysis at the level of the deconfinement transition or sensitivity of the entanglement entropy to the latter. Here, we consistently modify our solution of the considered Einstein-Maxwell-dilaton system to not only overcome an unphysical flattening at large distances in the quark-antiquark potential plaguing earlier work, but also to encapsulate inverse catalysis for the chiral transition in the probe approximation. This brings our dynamical holographic QCD model yet again closer to a stage at which it can be used to predict magnetic QCD quantities not directly computable via lattice techniques.
Highlights
We consistently modify our solution of the considered Einstein-Maxwell-dilaton system to overcome an unphysical flattening at large distances in the quark-antiquark potential plaguing earlier work, and to encapsulate inverse catalysis for the chiral transition in the probe approximation
To the necessary high temperature conditions to liberate quarks from their permanent confinement, relativistic heavy ion collisions might create during the short-lived quark-gluon plasma stage [8,9], a strong magnetic background [10,11,12,13,14,15], another player affecting the QCD phase diagram [16,17,18]
We find that the inflection point goes down with the magnetic field. This is an indication that the model exhibits inverse magnetic catalysis behavior in the deconfinement phase. This result should be contrasted with the soft wall models, where instead magnetic catalysis behavior was observed in the chiral critical temperature
Summary
Subjecting QCD to extreme external conditions such as temperature, density, and/or electromagnetic fields is a matter of formal and theoretically challenging studies, but of direct possible relevance for current particle accelerator driven research programs [1,2,3], early universe physics [4,5], dense neutron stars [6], gravitational waves physics [7], etc. The modern tensor network paradigm does not suffer from this particular conceptual drawback, but as of seems to be computationally limited to lower-dimensional gauge theories [20] Another option—the one we will follow here—is applying the gauge-gravity correspondence rooted in [21,22,23], which has become a key player in the field of theoretical studies of the strongly coupled quark-gluon plasma. III, we will add flavor (quark) matter via a phenomenological probe brane construction and study the occurrence of (inverse) magnetic catalysis at the level of the chiral phase transition
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