Abstract

We extend previous work on dynamical AdS/QCD models by introducing an extra ingredient under the form of a background magnetic field, this to gain insight into the influence such field can have on crucial QCD observables. Therefore, we construct a closed form analytic solution to an Einstein-Maxwell-dilaton system with a magnetic field. We specifically focus on the deconfinement transition, reporting inverse magnetic catalysis, and on the string tension, reporting a weaker/stronger confinement along/perpendicular to the magnetic field. The latter, being of importance to potential modelling of heavy quarkonia, is in qualitative agreement with lattice findings.

Highlights

  • Quantum chromodynamics (QCD) is the quantum field theory of strong interactions capable of describing sub-atomics particles such as quarks and gluons

  • It is well known that QCD at low temperature and chemical potential exhibits confinement and chiral symmetry breaking whereas at high temperature and chemical potential it undergoes a phase transition to a chiral symmetry restored phase where deconfinement sets in

  • The investigation of the QCD phase diagram and the search of new phases of matter are of great relevance, attracting worldwide attention, be it from the experimental, lattice or theoretical communities [2]

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Summary

Introduction

Quantum chromodynamics (QCD) is the quantum field theory of strong interactions capable of describing sub-atomics particles such as quarks and gluons. For detailed reviews on these subjects, see for example [8,9] It was expected from the work of [40,41] that the magnetic field has a constructive effect on the quark condensate and the deconfinement transition temperature, a phenomenon commonly termed as the magnetic catalysis. Further investigations, both from lattice simulations and from theoretical models based on weak coupling approximations, had confirmed these results [15,16,17,18,19,20,21,22,23,24]. This is desirable as computations with finite chemical potential are currently very challenging for lattice techniques due to the well-known sign problem in Euclidean space-time

Einstein-Maxwell-dilaton gravity with a magnetic field
B 4 z2
Results
Black hole thermodynamics and confinement-deconfinement phase transition
The anisotropic QCD string tension
Outlook

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