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arXiv 2602.05985hep-thgr-qc
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非最小R³F²黑膜的全息特性:在有效场论框架中的研究

Holographic Aspects of Non-minimal $R^3 F^2 $ Black Brane in an EFT Framework

Ayatollah Boroujerdi University(阿亚图拉·博鲁杰迪大学)

Mehdi Sadeghi

AI总结:

本文研究了一种修正引力理论,其中爱因斯坦-希尔伯特作用通过R³Fμα(a)F(a)μα相互作用项非最小耦合到杨-米尔斯场,推导了黑膜解并计算了全息输运系数,发现非最小耦合改变了导电性和剪切粘度与熵密度比,违反了KSS界。

摘要:

本文研究了一种修正引力理论,其中爱因斯坦-希尔伯特作用包括宇宙学常数,通过R³Fμα(a)F(a)μα相互作用项非最小耦合到杨-米尔斯场。我们将这种耦合视为低能有效场论(EFT)变形标准爱因斯坦-杨-米尔斯理论中的最高导数修正项。我们推导了该模型的黑膜解,精确到EFT耦合参数q₂的一阶,并指定了有效范围|q₂|/L⁶ << 1。利用 gauge/gravity 对偶技术,我们计算了两个关键全息输运系数:颜色非阿贝尔直流电导率和剪切粘度与熵密度比。我们的分析表明,这两个输运系数均被非最小耦合所修改,正q₂时电导率界被违反,负q₂时剪切粘度与熵密度比的Kovtun-Son-Starinets(KSS)界被违反。结果在EFT框架内进行解释,并讨论了从稳定性和因果性可能对q₂符号的约束。在非最小耦合消失的极限下,我们的结果一致还原为标准杨-米尔斯Schwarzschild反德西特(AdS)黑膜的结果。

英文摘要:

This work investigates a modified theory of gravity where the Einstein-Hilbert action, including a cosmological constant, is non-minimally coupled to a Yang-Mills field via an \(R^3 F_{μα}^{(a)} F^{(a)μα}\) interaction term. We treat this coupling as the leading higher-derivative correction in a low-energy effective field theory (EFT) deformation of the standard Einstein-Yang-Mills theory. We derive a black brane solution for this model, accurate to the first order in the EFT coupling parameter \(q_2\), and specify the regime of validity \(\frac{|q_2|}{L^6} \ll 1\). Using gauge/gravity duality techniques, we then compute two key holographic transport coefficients: the color non-abelian direct current (DC) conductivity and the ratio of shear viscosity to entropy density. Our analysis reveals that both transport coefficients are modified by the non-minimal coupling, with the conductivity bound violated for positive \(q_2\) and the Kovtun-Son-Starinets (KSS) bound for shear viscosity violated for negative \(q_2\). The results are interpreted within the EFT framework, and possible constraints on the sign of \(q_2\) from stability and causality are discussed. In the limit where the non-minimal coupling vanishes, our results consistently reduce to those of the standard Yang-Mills Schwarzschild Anti-de Sitter (AdS) black brane.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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