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Nonlinear optical analogies in quantum electrodynamics
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Some of the basic notions of nonlinear optics are summarized and then applied to the case of the Dirac vacuum, as described by the Heisenberg-Euler effective one-loop Lagrangian. The theoretical and experimental basis for the appearance of nonlinear optical phenomena, such as the Kerr effect, Cotton-Mouton effect, and four-wave mixing are discussed. Further effects due to more exotic assumptions on the structure of spacetime, such as gravitational curvature and the topology of the Casimir vacuum are also presented.
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Nonlinear Yang-Mills AdS black brane and DC conductivity
For a holographic model with fractional non-abelian gauge fields, the DC conductivity is σ = (1 - 4 q1 h'(rh)^2)/(1 + 4 q1 h'(rh)^2)^3, which is below the usual lower bound for nonzero coupling.
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