Four relativistic spinning particle models (vector oscillator, spinor oscillator, spherical top, massive twistor) describe identical physics in free and interacting theories within the spin-magnitude-preserving sector.
Interaction Vertex for Classical Spinning Particles
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We consider a model of the classical spinning particle in which the coadjoint orbits of the Poincare group are parametrized by two pairs of canonically conjugate four vectors, one representing the standard position and momentum variables and the other which encodes the spinning degrees of freedom. This "Dual Phase Space Model" is shown to be a consistent theory of both massive and massless particles and allows for coupling to background fields such as electromagnetism. The on-shell action is derived and shown to be a sum of two terms, one associated with motion in spacetime and the other with motion in "spin space." Interactions between spinning particles are studied and a necessary and sufficient condition for consistency of a three-point vertex is established.
citation-role summary
method 1
citation-polarity summary
fields
hep-th 2verdicts
UNVERDICTED 2roles
method 1polarities
use method 1representative citing papers
Derives manifestly covariant worldline actions for Poincaré and AdS particles from symplectic forms on coadjoint orbits via Hamiltonian constraints from isometry conditions.
citing papers explorer
-
Universality in Relativistic Spinning Particle Models
Four relativistic spinning particle models (vector oscillator, spinor oscillator, spherical top, massive twistor) describe identical physics in free and interacting theories within the spin-magnitude-preserving sector.
-
Ab Initio Construction of Poincar\'e and AdS Particle
Derives manifestly covariant worldline actions for Poincaré and AdS particles from symplectic forms on coadjoint orbits via Hamiltonian constraints from isometry conditions.