Twistors, special relativity, conformal symmetry and minimal coupling - A review
2005 (English)In: International Journal of Geometric Methods in Modern Physics (IJGMMP), ISSN 0219-8878, Vol. 2, no 2, 265-304 p.Article, review/survey (Refereed) Published
An approach to special relativistic dynamics using the language of spinors and twistors is presented. Exploiting the natural conformally invariant symplectic structure of the twistor space, a model is constructed which describes a relativistic massive, spinning and charged particle, minimally coupled to an external electro-magnetic field. On the two-twistor phase space the relativistic Hamiltonian dynamics is generated by a Poincare scalar function obtained from the classical limit (appropriately defined by us) of the second order, to an external electro-magnetic field minimally coupled Dirac operator. In the so defined relativistic classical limit there are no Grassman variables. Besides, the arising equation that describes dynamics of the relativistic spin differs significantly from the so-called Thomas Bergman Michel Telegdi equation.
Place, publisher, year, edition, pages
2005. Vol. 2, no 2, 265-304 p.
special relativity, relativistic spinning particles, twister theory, conformal symmetry
IdentifiersURN: urn:nbn:se:kth:diva-37737DOI: 10.1142/S0219887805000612ISI: 000229452900007ScopusID: 2-s2.0-33746275173OAI: oai:DiVA.org:kth-37737DiVA: diva2:435054