AI 中文总结
研究弦理论启发的四次修正\(\alpha'^2 F^4\)对全息费米子可观测量的影响，通过分析非线性静电背景及相关关系，计算带电探针费米子的格林函数和谱函数，明确了四次体非线性从体到边界费米子可观测量的传播。
AI 中文摘要
我们研究了在自下而上的\(AdS_4/CFT_3\)模型中，由弦理论启发的主导四次修正\(\alpha'^2 F^4\)如何改变全息费米子可观测量。规范场部分由补充了四次相互作用的麦克斯韦电动力学描述，并在探针近似下保持几何结构固定。我们首先分析非线性静电背景，推导出规范方程的精确第一积分、径向电场的相关本构关系、全局正则解的临界耦合以及静电势和化学势的弱耦合展开。然后用这些背景计算带电探针费米子的推迟格林函数和谱函数。四次相互作用增加了化学势，降低了有效比率\(T/\mu\)，移动了费米动量，并增强了谱权重，且不破坏全息费米面。我们进一步表明，费米子可观测量继承了规范场部分解析结构所暗示的对\(\alpha'\) 的偶次幂依赖。由此得到的探针极限分析明确了体四次非线性如何从体传播到边界费米子可观测量。
英文摘要
We investigate the effects of the leading string-inspired quartic correction $α'^2F^4$ on holographic fermions and charge transport in a bottom-up AdS$_4$/CFT$_3$ model. Working in the probe limit, we derive the nonlinear electrostatic background, obtain an exact first integral of the gauge equation, establish the associated constitutive relation, and identify the endpoint of the globally regular electrostatic branch. A nonlinear response function naturally emerges from the gauge sector and provides a unified description of the background, gauge-field fluctuations, and transport coefficients. Using these analytical backgrounds, we compute the fermionic retarded Green's function and spectral function. The quartic interaction shifts the Fermi momentum, enhances the spectral weight, increases the renormalized Fermi velocity, and reduces both momentum and energy linewidths, providing spectroscopic signatures consistent with enhanced quasiparticle coherence while preserving the holographic Fermi surface. We further investigate optical and DC conductivities, showing that the nonlinear interaction redistributes the optical response from the infrared toward intermediate frequencies, whereas the DC conductivity is obtained analytically as $σ_{\mathrm{DC}}=\mathcal K(1)=ρ/E(1)$ and decreases monotonically with increasing nonlinear coupling. These results establish a direct connection between nonlinear bulk electrodynamics, momentum-resolved spectroscopic observables, and transport properties in the dual strongly coupled theory.
Comments32 pages, 7 figures
