Holographic Nambu Jona-Lasinio Interactions

Abstract

NJL interactions are introduced into the D3/ probe D7 system using Witten's double trace operator prescription which includes the operator as a classical term in the effective potential. In the supersymmetric system they do not induce chiral symmetry breaking which we attribute to the flat effective potential with quark mass in the supersymmetric theory. If additional supersymmetry breaking is introduced then standard NJL behaviour is realized. In examples where chiral symmetry breaking is not preferred such as with a B field plus an IR cut off chiral condensation is triggered by the NJL interaction at a second order transition after a finite critical coupling. If the model already contains chiral symmetry breaking, for example in the B field case with no IR cut off, then the NJL interaction enhances the quark mass at all values of the NJL coupling. We also consider the system at finite temperature: the temperature discourages condensation but when combined with a magnetic field we find regions of parameter space where the NJL interaction triggers a first order chiral transition above a critical coupling.

7 pages, 6 figures

References in corpus (8)

• Holographic Phase Transitions with Fundamental Matter
• AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields
• Flavoured Large N Gauge Theory in an External Magnetic Field
• Finite Temperature Large N Gauge Theory with Quarks in an External Magnetic Field
• A Topology-Changing Phase Transition and the Dynamics of Flavour
• Holographic Description of the Phase Diagram of a Chiral Symmetry Breaking Gauge Theory
• Dynamic AdS/QCD and the Spectrum of Walking Gauge Theories
• Holographic quantum criticality from multi-trace deformations

Cited by in corpus (13)

• Gauge/gravity dual dynamics for the strongly coupled sector of composite Higgs models
• A Holographic Description of Colour Superconductivity
• Fermions and baryons as open-string states from brane junctions
• Light composite fermions from holography
• Holographic Gauged NJL Model: the Conformal Window and Ideal Walking
• A Holographic Study of the Gauged NJL Model
• Holography for Sp(2$N_c$) Gauge Dynamics: from Composite Higgs to Technicolour
• Any Room Left for Technicolor? Holographic Studies of NJL Assisted Technicolour
• Holograms of a Dynamical Top Quark
• Domain Wall AdS/QCD
• Thermal Transitions in Domain Wall AdS/QCD
• Domain Wall Fermions on the Brane
• Holography of Strongly Coupled Gauge Theories