Spin gauge symmetry in the action principle for classical relativistic particles
arXiv:1501.04951
Abstract
We suggest that the physically irrelevant choice of a representative worldline of a relativistic spinning particle should correspond to a gauge symmetry in an action approach. Using a canonical formalism in special relativity, we identify a (first-class) spin gauge constraint, which generates a shift of the worldline together with the corresponding transformation of the spin on phase space. An action principle is formulated for which a minimal coupling to fields is straightforward. The electromagnetic interaction of a monopole-dipole particle is constructed explicitly.
arXiv comment9 pages, 1 figure
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- Spin-orbit effects for compact binaries in scalar-tensor gravity
- Off-equatorial stable circular orbits for spinning particles
- Extended bodies moving on geodesic trajectories
- Spin dynamics of moving bodies in rotating black hole spacetimes