Conformal symmetry for relativistic point particles

Roberto Casalbuoni and Joaquim Gomis
Phys. Rev. D 90, 026001 – Published 14 July 2014

Abstract

In this paper we consider conformal dynamics for a system of N interacting relativistic massless particles. A detailed study is done for the case of two particles, with a particular attention to the symmetries of the problem. In fact, we show that this analysis could be extended to the case of higher spin symmetries. Always in the two-particle case a formulation in terms of bilocal fields is proposed. For a system of N particles we consider two possible scenarios: (i) the action is invariant under any permutation of the N particles. This case corresponds to completely democratic interactions with each particle interacting with all the others. The action depends on N1 dimensionless coupling constants. (ii) By putting the particles along a one-dimensional lattice (open or closed) with nearest neighbor interactions, one obtains a model with only two-body interactions depending on a single dimensionless coupling. This model can be easily extended to the continuum case, obtaining a conformal stringlike (closed or open) system.

  • Received 29 April 2014

DOI:https://doi.org/10.1103/PhysRevD.90.026001

© 2014 American Physical Society

Authors & Affiliations

Roberto Casalbuoni*

  • Department of Physics and Astronomy, University of Florence and INFN, 50019 Florence, Italy

Joaquim Gomis

  • Departament d’Estructura i Constituents de la Matèria and Institut de Ciències del Cosmos, Universitat de Barcelona, Diagonal 647, 08028 Barcelona, Spain

  • *casalbuoni@fi.infn.it
  • gomis@ecm.ub.es

See Also

Addendum to “Conformal symmetry for relativistic point particles”

Roberto Casalbuoni and Joaquim Gomis
Phys. Rev. D 91, 047901 (2015)

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Vol. 90, Iss. 2 — 15 July 2014

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