Magnetising the $\mathcal{N}=4$ Super Yang-Mills plasma

Abstract

We investigate the thermodynamics of the anisotropic magnetic $\mathrm{Ad}{\mathrm{S}}_5$ black brane solution found by D'Hoker and Kraus arXiv:0908.3875. This solution is the gravity dual of a strongly coupled $\mathcal{N}=4$ Super Yang-Mills plasma in ${\mathbb{R}}^{3,1}$, with temperature $T$, in the presence of a magnetic field $\mathcal{B}$. Following the procedure of holographic renormalisation we calculate the Gibbs free energy and the holographic stress tensor of the conformal plasma. We evaluate several thermodynamic quantities including the magnetisation, the anisotropic pressures and the speeds of sound. Our results are consistent with an RG flow from a perturbed $\mathrm{Ad}{\mathrm{S}}_5$ black brane at small $\mathcal{B}/T^2$ to a $\mathbf{BTZ}\times {\mathbb{R}}^2$ black brane at large $\mathcal{B}/T^2$. We also perform a phenomenological analysis where we compare the thermodynamics of a magnetised conformal plasma against the lattice QCD results for the thermodynamics of the magnetised quark-gluon plasma.

V1 40 pages, 11 figures. V2 42 pages, 11 figures, references added. New subsection about the non-diffeomorphism invariant counterterm and the conformal anomaly. V3 44 pages, 12 figures, accepted in JHEP

References in corpus (27)

• The Chiral Magnetic Effect
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Exploring improved holographic theories for QCD: Part II
• Hall conductivity from dyonic black holes
• The QCD equation of state in background magnetic fields
• Deconfinement and Gluon Plasma Dynamics in Improved Holographic QCD
• Inverse magnetic catalysis in dense holographic matter
• Ohm's Law at strong coupling: S duality and the cyclotron resonance
• Flavoured Large N Gauge Theory in an External Magnetic Field
• Anisotropic shear viscosity of a strongly coupled non-Abelian plasma from magnetic branes
• External Fields and Chiral Symmetry Breaking in the Sakai-Sugimoto Model
• Inverse magnetic catalysis in holographic models of QCD
• Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
• Anisotropic heavy quark potential in strongly-coupled $\mathcal{N}=4$ SYM in a magnetic field
• Holographic Anisotropic Model for Heavy Quarks in Anisotropic Hot Dense QGP with External Magnetic Field
• Dyonic AdS black holes from magnetohydrodynamics
• Chiral hydrodynamics in strong external magnetic fields
• Jet quenching in a strongly coupled anisotropic plasma
• Thermal photon production in a strongly coupled anisotropic plasma
• On the interplay between magnetic field and anisotropy in holographic QCD
• Towards Unquenched Holographic Magnetic Catalysis
• A universal order parameter for Inverse Magnetic Catalysis
• Is the Chiral Magnetic Effect fast enough?
• D3-D5 theories with unquenched flavors
• Gravity dual of a multilayer system
• Holographic QCD and magnetic fields
• Melting holographic mesons by applying a magnetic field

Cited by in corpus (7)

• Hot QCD Phase Diagram From Holographic Einstein-Maxwell-Dilaton Models
• Holographic confining/deconfining gauge theories and entanglement measures with a magnetic field
• Inverse magnetic catalysis and energy loss in holographic QCD model
• Magnetized AdS/BCFT Correspondence in Horndeski Gravity
• Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
• Probing Quarkonium Diffusion in a Magnetized Quark-Gluon Plasma
• Complexity of Magnetization and Magnetic Simplification