Flavoured Large N Gauge Theory in an External Magnetic Field

Abstract

We consider a D7-brane probe of AdS${}_5\times S^5$ in the presence of pure gauge $B$-field. In the dual gauge theory, the $B$-field couples to the fundamental matter introduced by the D7-brane and acts as an external magnetic field. The $B$-field supports a 6-form Ramond-Ramond potential on the D7-branes world volume that breaks the supersymmetry and enables the dual gauge theory to develop a non-zero fermionic condensate. We explore the dependence of the fermionic condensate on the bare quark mass $m_q$ and show that at zero bare quark mass a chiral symmetry is spontaneously broken. A study of the meson spectrum reveals a coupling between the vector and scalar modes, and in the limit of weak magnetic field we observe Zeeman splitting of the states. We also observe the characteristic $\sqrt{m_q}$ dependence of the ground state corresponding to the Goldstone boson of spontaneously broken chiral symmetry.

22 pages, 7 figures, references added, few typos corrected

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• Inverse magnetic catalysis in holographic models of QCD
• Comments on Fermi Liquid from Holography
• Criticality, Scaling and Chiral Symmetry Breaking in External Magnetic Field
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• Non-equilibrium physics at a holographic chiral phase transition
• Meson supercurrents and the Meissner effect in the Sakai-Sugimoto model
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• Toward a Holographic Model of Superconducting Fermions
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• Holography of a Composite Inflaton
• Holographic Spectral Functions in Metallic AdS/CFT
• Non Mean-Field Quantum Critical Points from Holography
• Critical Exponents from AdS/CFT with Flavor
• Meson spectra of asymptotically free gauge theories from holography
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• Mesons in marginally deformed AdS/CFT
• Chiral symmetry breaking and confinement: separating the scales
• Holographic QCD and magnetic fields
• Magnetising the $\mathcal{N}=4$ Super Yang-Mills plasma
• Hyper-Scaling Relations in the Conformal Window from Dynamic AdS/QCD
• Holographic Non-Abelian Flavour Symmetry Breaking
• Quantum phase transition in a Dp-Dq system
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• Flavours and Infra-red Instability in Holography
• Strongly bound mesons at finite temperature and in magnetic fields from AdS/CFT
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• Tricritical phenomena in holographic chiral phase transitions
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• Confronting the magnetically-induced holographic composite inflation with observation
• Domain Wall Fermions on the Brane