QCD Vacuum Properties in a Magnetic Field from AdS/CFT: Chiral Condensate and Goldstone Mass

Abstract

Chiral condensate and ${\eta }^{\prime }$ meson mass spectrum are studied under the influence of an external Abelian magnetic field. We work within the D3/D7 Karch--Katz model of flavoured AdS/CFT with supersymmetry broken by the Constable--Myers deformation of the metric. It is shown that this setting yields a quadratic dependence of condensate on field, rather than the non-analytic (linear in field) dependence, typical for chiral perturbation theory in the exact chiral limit. We argue that the analytic (quadratic) result must be put into correspondence with the leading-order in the $1/N_c$ decomposition for the condensate, whereas the existing chiral perturbation theory result, which is linear in field strength, is $1/N_c$ suppressed.

11 pages, 5 figures

References in corpus (15)

• Mesons in Gauge/Gravity Duals - A Review
• AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields
• String Theory and Quantum Chromodynamics
• The chiral condensate in a constant electromagnetic field
• Finite Temperature Large N Gauge Theory with Quarks in an External Magnetic Field
• Quarks in an External Electric Field in Finite Temperature Large N Gauge Theory
• Magnetic properties of dense holographic QCD
• The string/gauge theory correspondence in QCD
• Neutron electric dipole moment with external electric field method in lattice QCD
• Magnetized baryonic matter in holographic QCD
• Dense and Hot Holographic QCD: Finite Baryonic E Field
• The chiral condensate in a constant electromagnetic field at O(p^6)
• The non-AdS/non-CFT correspondence, or three different paths to QCD
• Gauge Theories as String Theories: the First Results
• Probing the QCD Vacuum Using External Fields

Cited by in corpus (34)

• The QCD phase diagram for external magnetic fields
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• QCD Phase Transition in a Strong Magnetic Background
• Chiral magnetic effect in the PNJL model
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Chiral Properties of Strong Interactions in a Magnetic Background
• Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field
• Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field
• Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory
• Phase diagram of the D3/D5 system in a magnetic field and a BKT transition
• The Chiral Magnetic Effect and chiral symmetry breaking in SU(3) quenched lattice gauge theory
• Inverse Magnetic Catalysis from improved Holographic QCD in the Veneziano limit
• Holographic rho mesons in an external magnetic field
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model
• Non-equilibrium physics at a holographic chiral phase transition
• $\rho$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory
• Inverse magnetic catalysis -- how much do we know about?
• Magnetic catalysis with massive dynamical flavours
• D3/D7 Quark-Gluon Plasma with Magnetically Induced Anisotropy
• Holography of a Composite Inflaton
• Non Mean-Field Quantum Critical Points from Holography
• Exploring Dense and Cold QCD in Magnetic Fields
• Holographic QCD and magnetic fields
• Melting holographic mesons by cooling a magnetized quark gluon plasma
• Flavoured Large N Gauge Theory on a Compact Space with an External Magnetic Field
• Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
• Melting holographic mesons by applying a magnetic field
• Holographic DC Conductivity for Backreacted NLED in Massive Gravity
• Note on a non-critical holographic model with a magnetic field
• Holographic Confining Gauge theory and Response to Electric Field
• Holographic model with a NS-NS field
• Holography in Quark-Gluon Plasma and Neutron Stars
• Background field and time dependence effects in holographic models