Gradient Correction to Photon Emission Rate at Strong Coupling

We compute the correction to the photon emission rate in first order of shear components of fluid velocity gradients, $σ_{ij}$, in near-equilibrium hydrodynamic plasma at strong coupling regime, using the real-time Schwinger-Keldysh formalism in AdS/CFT correspondence. Our result is an integral of an analytic expression. We observe that the gradient correction to the photon emission rate at strong coupling is about 0.3 - 0.4 times of the equilibrium rate in units of $σ_{ij}/T$.

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