Thomas Precession for Dressed Particles

Abstract

We consider a particle dressed with boundary gravitons in three-dimensional Minkowski space. The existence of BMS transformations implies that the particle's wavefunction picks up a Berry phase when subjected to changes of reference frames that trace a closed path in the asymptotic symmetry group. We evaluate this phase and show that, for BMS superrotations, it provides a gravitational generalization of Thomas precession. In principle, such phases are observable signatures of asymptotic symmetries.

20 pages, 2 figures. v2: typos fixed, references added, published in Classical and Quantum Gravity

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Cited by in corpus (9)

• Electromagnetic Duality and the Electric Memory Effect
• Circuit Complexity for Carrollian Conformal (BMS) Field Theories
• Radiative Asymptotic Symmetries of 3D Einstein-Maxwell Theory
• Probing Wigner Rotations for Any Group
• Adiabatic Deformations of Quantum Hall Droplets
• DC conductance and memory in 3D gravity
• Hirota-Satsuma Dynamics as a Non-Relativistic Limit of KdV Equations
• Berry Phases in the Bosonization of Nonlinear Edge Modes
• Counting Black Hole Microstates at Future Null Infinity