Relativistic spinning particle as a massive twistor
APA
(2025). Relativistic spinning particle as a massive twistor. SciVideos. https://youtube.com/live/WVhq6xZ9ssY
MLA
Relativistic spinning particle as a massive twistor. SciVideos, Feb. 18, 2025, https://youtube.com/live/WVhq6xZ9ssY
BibTex
@misc{ scivideos_ICTS:31095, doi = {}, url = {https://youtube.com/live/WVhq6xZ9ssY}, author = {}, keywords = {}, language = {en}, title = {Relativistic spinning particle as a massive twistor}, publisher = {}, year = {2025}, month = {feb}, note = {ICTS:31095 see, \url{https://scivideos.org/icts-tifr/31095}} }
Abstract
We prove the equivalence between two traditional approaches to the classical mechanics of a massive spinning particle in special relativity. One is the spherical top model of Hanson and Regge, recast in a Hamiltonian formulation with improved treatment of covariant spin constraints. The other is the massive twistor model, slightly generalized to incorporate the Regge trajectory relating the mass to the total spin angular momentum. We establish the equivalence by computing the Dirac brackets of the physical phase space carrying three translation and three rotation degrees of freedom. Lorentz covariance and little group covariance uniquely determine the structure of the physical phase space. We comment briefly on how to couple the twistor particle to electromagnetic or gravitational backgrounds.