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Title: Single twistor description of massless, massive, AdS, and other interacting particles

Abstract

The Penrose transform between twistors and the phase space of massless particles is generalized from the massless case to an assortment of other particle dynamical systems, including special examples of massless or massive particles, relativistic or nonrelativistic, interacting or noninteracting, in flat space or curved spaces. Our unified construction involves always the same twistor Z{sup A} with only four complex degrees of freedom and subject to the same helicity constraint. Only the twistor to phase space transform differs from one case to another. Hence, a unification of diverse particle dynamical systems is displayed by the fact that they all share the same twistor description. Our single twistor approach seems to be rather different and a strikingly economical construction of twistors compared to other past approaches that introduced multiple twistors to represent some similar but far more limited set of particle phase space systems.

Authors:
 [1];  [1];  [2]
  1. Department of Physics and Astronomy, University of Southern California, Los Angeles, California 90089-0484 (United States)
  2. (CSIC-UVEG), 46100-Burjassot (Valencia) (Spain)
Publication Date:
OSTI Identifier:
20782636
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.73.064002; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DEGREES OF FREEDOM; HELICITY; MASSLESS PARTICLES; PHASE SPACE; RELATIVISTIC RANGE; STRING MODELS; TOPOLOGY

Citation Formats

Bars, Itzhak, Picon, Moises, and Departamento de Fisica Teorica, Universita de Valencia and IFIC. Single twistor description of massless, massive, AdS, and other interacting particles. United States: N. p., 2006. Web. doi:10.1103/PHYSREVD.73.064002.
Bars, Itzhak, Picon, Moises, & Departamento de Fisica Teorica, Universita de Valencia and IFIC. Single twistor description of massless, massive, AdS, and other interacting particles. United States. doi:10.1103/PHYSREVD.73.064002.
Bars, Itzhak, Picon, Moises, and Departamento de Fisica Teorica, Universita de Valencia and IFIC. Wed . "Single twistor description of massless, massive, AdS, and other interacting particles". United States. doi:10.1103/PHYSREVD.73.064002.
@article{osti_20782636,
title = {Single twistor description of massless, massive, AdS, and other interacting particles},
author = {Bars, Itzhak and Picon, Moises and Departamento de Fisica Teorica, Universita de Valencia and IFIC},
abstractNote = {The Penrose transform between twistors and the phase space of massless particles is generalized from the massless case to an assortment of other particle dynamical systems, including special examples of massless or massive particles, relativistic or nonrelativistic, interacting or noninteracting, in flat space or curved spaces. Our unified construction involves always the same twistor Z{sup A} with only four complex degrees of freedom and subject to the same helicity constraint. Only the twistor to phase space transform differs from one case to another. Hence, a unification of diverse particle dynamical systems is displayed by the fact that they all share the same twistor description. Our single twistor approach seems to be rather different and a strikingly economical construction of twistors compared to other past approaches that introduced multiple twistors to represent some similar but far more limited set of particle phase space systems.},
doi = {10.1103/PHYSREVD.73.064002},
journal = {Physical Review. D, Particles Fields},
number = 6,
volume = 73,
place = {United States},
year = {Wed Mar 15 00:00:00 EST 2006},
month = {Wed Mar 15 00:00:00 EST 2006}
}