Year: 2026
Type: preprint
Abstract: We study linear perturbations of the Maldacena-Milekhin-Popov (MMP) wormhole in the parity sector pairing axial metric and polar gauge perturbations. The lowest Landau level (LLL) of the fermions responds through its charge. Its exact Schwinger current gives the longitudinal electric field the MMP screening mass $m_S^2=αq^2$, and the axial metric perturbation shifts the worldsheet gauge field of every LLL state at relative order $l(l+1)/q$. We assume that the Casimir stress tensor follows the tilting field lines. Force balance and charge conservation then fix a polarisation current, the counterpart of the polar Hall current, up to self-conserved currents. The higher Landau levels enter through the one-loop Euler-Heisenberg action, to first order in $η_{\rm H}=g_c^2/12π^2$. Virtual transitions to them could enter at the order of the $l(l+1)/q$ shift and are not estimated. At first order in the fermion backreaction $α$ the system reduces to three coupled master equations in closed form, and mouth and throat match. Consistency does not select the fermion constitutive relation. Among local closures without derivatives, covariance fixes it up to one kernel. At $α=0$ the throat has a screened, a light massive and a massless neutral channel, and the Schwinger response already breaks the isospectrality of the two parities. The higher levels raise the squared light mass by $η_{\rm H}l(l+1)$ in AdS$_2$ units and break it further. At the formal point $m_S^2=0$ the massive channels have real $O(α)$ shifts on every closed-throat level, as does the light channel at the physical $m_S^2$ on every level below the screened channel. The neutral channel has an exact zero-energy solution, a persistent current along the field lines, which the $O(α)$ mouth terms and the higher levels leave intact. Finite-element runs find no bound state below it, and its stability is open.
Source: arXiv (Cornell University)
Author: Sadhukhan, Abhishake
Institution: Presidency University
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7220898992