Work

Hilbert space of dyons

Year: 2024

Type: article

Abstract: We revisit the construction of the Hilbert space of nonrelativistic particles moving in three spatial dimensions. This is given by the space of sections of a line bundle that can in general be topologically nontrivial. Such bundles are classified by a set of integers—one for each pair of particles—and arise physically when we describe the interactions of dyons, particles which carry both electric and magnetic charges. The choice of bundle fixes the representation of the Euclidean group carried by the Hilbert space. These representations are shown to recover the “pairwise helicity” formalism recently discussed in the literature. Published by the American Physical Society 2024

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.110.085014

Authors: Rishi Mouland, David Tong

Institution: University of Cambridge

Language: English

Topic: Quantum and Classical Electrodynamics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Strong, Engineering and Physical Sciences Research Council, Science and Technology Facilities Council

Awards: G2679469542, Investigations of particles, quantum fields and extended objects, Chiral Gauge Theories: From Strong Coupling to the Standard Model, G4968037165, G8452291223