Erlangen 2026 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 4: Quantum Field Theory II

MP 4.3: Vortrag

Mittwoch, 18. März 2026, 12:00–12:15, KH 02.013

Inertial Repulsion from Quantum Geometry — •Maike Fahrensohn and Matthias Geilhufe — Condensed Matter and Materials Theory Division, Department of Physics, Chalmers University of Technology, 41258 Göteborg, Sweden

We derive a repulsive, charge-dipole-like interaction for a Dirac particle in a rotating frame, arising from a geometric U(1) gauge symmetry associated with the Berry phase [1]. The Lagrangian of this system includes a non-inertial correction due to centrifugal field coupling. By imposing gauge symmetry and treating it as a full gauge theory, the Lagrangian is extended to include Berry connection and curvature terms. Upon integrating out the geometric gauge field, the effective action is obtained. This leads to the emergence of a repulsive, long-range effective interaction in the Lagrangian. Explicitly, in the non-inertial frame of the observer, the geometric gauge invariance effectively leads to a repulsive Coulomb-interaction in momentum space. In real space, the inertial repulsion manifests in a 1/| r|² potential, which is symmetric about the origin of rotation and mirrors charge-dipole interaction.

[1] Maike Fahrensohn and R. Matthias Geilhufe. Inertial Repulsion from Quantum Geometry. 2025. arXiv: 2511.03510.

Keywords: inertial effects; quantum geometry; Berry connection; Berry curvature; gauge theory