The Imaginary Part of the Static Potential in Strongly Coupled Anisotropic Plasma

摘要

Using the gauge/gravity duality we study the imaginary part of the staticpotential associated to the thermal width in finite temperature stronglycoupled anisotropic plasma. We firstly derive the potential for a genericanisotropic background. Then we apply our formulas to a theory where theanisotropy has been generated by a space dependent axion term. We find thatusing our method there exist a peculiar turning point in the imaginary part ofthe potential, similar to the one appearing in the real part. The presence ofanisotropy leads to decrease of the imaginary potential, where larger decreasehappens along the anisotropic direction when the temperature is kept fixed.When the entropy density is fixed, increase happens along the paralleldirection while along the transverse plane we observe a decrease. To estimatethe thermal width we use an approximate extrapolation beyond the turning pointand we find a decrease in presence of the anisotropy, independently of thecomparison scheme used.