Holographic correlation functions of fermions in anisotropic plasma
Abstract
By using the gauge-gravity duality, we study the holographic fermionic correlation functions in strongly coupled anisotropic plasmas. Starting from the isotropic AdS-Schwarzschild black brane background, we revisit the prescription for computing the retarded Green's function of a probe Dirac fermion and then generalize the formulas with respect to the anisotropic geometries. The method is applied to three distinct holographic models that capture different physical origins of anisotropy: axion-induced, magnetic-field-induced and unquenched-flavor-induced. Numerical results for the holographic correlation functions reveal direction-dependent corrections, negative dips in the imaginary part, Landau levels in the fermionic dispersion (magnetic field), and a momentum-independent pseudogap indicating an incoherent metallic phase (flavors). Our results complement and go beyond the hard thermal loop approximation, providing non-perturbative insights into fermionic excitations in strongly coupled anisotropic plasmas relevant for heavy-ion collisions and certain condensed matter systems.
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BibTeX
@misc{li2026holographic,
title = {{Holographic correlation functions of fermions in anisotropic plasma}},
author = {Si-wen Li and Yan-qing Zhao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.25613},
eprint = {2606.25613},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.25613},
}
RIS
TY - UNPB
TI - Holographic correlation functions of fermions in anisotropic plasma
AU - Si-wen Li
AU - Yan-qing Zhao
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2606.25613
UR - https://arxiv.org/abs/2606.25613
AB - By using the gauge-gravity duality, we study the holographic fermionic correlation functions in strongly coupled anisotropic plasmas. Starting from the isotropic AdS-Schwarzschild black brane background, we revisit the prescription for computing the retarded Green's function of a probe Dirac fermion and then generalize the formulas with respect to the anisotropic geometries. The method is applied to three distinct holographic models that capture different physical origins of anisotropy: axion-induced, magnetic-field-induced and unquenched-flavor-induced. Numerical results for the holographic correlation functions reveal direction-dependent corrections, negative dips in the imaginary part, Landau levels in the fermionic dispersion (magnetic field), and a momentum-independent pseudogap indicating an incoherent metallic phase (flavors). Our results complement and go beyond the hard thermal loop approximation, providing non-perturbative insights into fermionic excitations in strongly coupled anisotropic plasmas relevant for heavy-ion collisions and certain condensed matter systems.
ER -