Using the guage/gravity correspondence, we discuss the holographic Schwinger effect in anisotropic backgrond. First of all, we compute the separating length of the particle-antiparticle pairs at different anisotropic background which is specified by dynamical exponent ν with the isotropic case is ν = 1. Then it is found that the maximum separating length x decreases with the increasing of dynamical exponent ν. This can be regarded as the virtual particles become real ones more easily. Subsequently, we find that the potential barrier is reduced by dynamical exponent ν, warp factor coefficient c and chemical potential µ at small distance. Moreover, we also find the critical electric field is reduced by the chemical potential and dynamical exponent, but enhanced by the warp factor coefficient.

Treating the bilocal quark-quark interaction kernel as an input parameter, the self-energy functions can be determined from the "rainbow" Dyson-Schwinger equation, which is obtained in the global color symmetry model. The tensor susceptibility of QCD vacuum can be calculated directly from these self-energy functions. The values we obtained are much smaller than the estimations from QCD sum rules and from chiral constituent quark model.

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