发表机构
Presidency University（总统大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究分析了MMP虫洞的轴向度规/极向规范扰动，揭示了费米子反作用导致的屏蔽质量与极化电流，并证明该扇区在l≥2时无增长模式。
AI 中文摘要
我们研究了 Maldacena-Milekhin-Popov (MMP) 虫洞在宇称扇区中的线性扰动，该扇区将轴向度规扰动与极向规范扰动配对。它包含轴向引力模式和沿磁力线的电场。带电费米子的最低朗道能级 (LLL) 通过其电荷作出响应。规范分量 $a_\tau$、$a_\rho$ 在每条场线的世界片上形成一个二维规范场，费米子以精确的 Schwinger 电流作出响应。将其提升到球面上，它赋予电场 MMP 屏蔽质量 $m_S^2=\alpha q^2$，该质量不小且在口部仍然存在。在喉部，扰动使世界片倾斜，Casimir 应力张量获得混合分量。力的平衡要求存在跨场线的电流，电荷守恒则确定了一个伴随的极化电流，即极向扇区霍尔电流的对应物。这些电流在费米子反作用 $\alpha$ 的一阶上闭合了 Bianchi 恒等式。该系统简化为三个耦合的主方程，以闭合形式给出，并与无费米子的口部匹配。仅一致性并不能选择费米子本构关系，但局域性、协变性和指标定理可以。在 $\alpha=0$ 时，喉部在 $m_S^2=0$ 处简化为具有质量 $l(l-1)$ 和 $(l+1)(l+2)$ 的 Pöschl-Teller 问题。在有限 $m_S^2$ 下，一个模式被屏蔽，一个模式趋向于质量 $l^2+l+2$，一个中性电荷密度波保持精确无质量。$O(\alpha)$ 对重正常频率的移动是实数且为负的。两个宇称扇区仅在无费米子时是等谱的。中性通道在每个口部看到一个吸引区域，并且在精确口部势中与引力通道耦合的数值解未发现束缚态。在该阶数下，对于 $l\ge2$，该扇区没有增长模式。
英文摘要
We study linear perturbations of the Maldacena-Milekhin-Popov (MMP) wormhole in the parity sector that pairs axial metric perturbations with polar gauge perturbations. It contains the axial gravitational mode and the electric field along the magnetic field lines. The lowest Landau level (LLL) of the charged fermions responds through its charge. The gauge components $a_τ$, $a_ρ$ form a two-dimensional gauge field on the worldsheet of each field line, and the fermions respond with the exact Schwinger current. Lifted over the sphere, it gives the electric field the MMP screening mass $m_S^2=αq^2$, which is not small and survives in the mouth. In the throat the perturbation tilts the worldsheets, and the Casimir stress tensor acquires mixed components. Force balance then requires a current across the field lines, and charge conservation fixes an accompanying polarisation current, the counterpart of the Hall current of the polar sector. These currents close the Bianchi identities at first order in the fermionic backreaction $α$. The system reduces to three coupled master equations, given in closed form and matched to the fermion-free mouth. Consistency alone does not select the fermionic constitutive relation, but locality, covariance and the index theorem do. At $α=0$ the throat reduces to Poschl-Teller problems with masses $l(l-1)$ and $(l+1)(l+2)$ at $m_S^2=0$. At finite $m_S^2$ one mode is screened, one tends to the mass $l^2+l+2$, and one neutral charge-density wave stays exactly massless. The $O(α)$ shifts of the massive normal frequencies are real and negative. The two parity sectors are isospectral only without fermions. The neutral channel sees an attractive region in each mouth, and a numerical solution coupled to the gravitational channel in the exact mouth potential finds no bound state. The sector has no growing mode for $l\ge2$ at this order.
Comments39 pages
