Criticality, Scaling and Chiral Symmetry Breaking in External Magnetic Field

Abstract

We consider a D7-brane probe of $Ad{S}_5\times S^5$ in the presence of pure gauge $B$-field. The dual gauge theory is flavored Yang-Mills theory in external magnetic field. We explore the dependence of the fermionic condensate on the bare quark mass $m_q$ and study the discrete self-similar behavior of the theory near the origin of the parametric space. We calculate the critical exponents of the bare quark mass and the fermionic condensate. A study of the meson spectrum supports the expectation based on thermodynamic considerations that at zero bare quark mass the stable phase of the theory is a chiral symmetry breaking one. Our study reveals the self-similar structure of the spectrum near the critical phase of the theory, characterized by zero fermionic condensate and we calculate the corresponding critical exponent of the meson spectrum.

29 pages, 9 figures. Accepted in JHEP. Updated to mach the published version. One figure added, some definitions improved

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Cited by in corpus (20)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields
• 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
• Hall Conductivity of Flavor Fields from AdS/CFT
• Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory
• The Stress-Energy Tensor of Flavor Fields from AdS/CFT
• Non-equilibrium physics at a holographic chiral phase transition
• Towards Unquenched Holographic Magnetic Catalysis
• Toward a Holographic Model of Superconducting Fermions
• 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
• Holographic Flavor Transport in Arbitrary Constant Background Fields
• Mesons in marginally deformed AdS/CFT
• A Quantum Critical Point from Flavours on a Compact Space
• D7-brane dynamics and thermalization in the Kuperstein-Sonnenschein model
• Holographic Thermodynamics and Transport of Flavor Fields
• Aspects of the Holographic Study of Flavor Dynamics