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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Remarks on a gauge theory for continuous spin particles

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Author(s):
Rivelles, Victor O.
Total Authors: 1
Document type: Journal article
Source: EUROPEAN PHYSICAL JOURNAL C; v. 77, n. 7 JUN 29 2017.
Web of Science Citations: 7
Abstract

We discuss in a systematic way the gauge theory for a continuous spin particle proposed by Schuster and Toro. We show that it is naturally formulated in a cotangent bundle over Minkowski spacetime where the gauge field depends on the spacetime coordinate chi(mu) and on a covector eta(mu). We discuss how fields can be expanded in eta(mu) in different ways and how these expansions are related to each other. The field equation has a derivative of a Dirac delta function with support on the eta-hyperboloid eta(2) + 1 = 0 and we show how it restricts the dynamics of the gauge field to the eta-hyperboloid and its first neighbourhood. We then show that on-shell the field carries one single irreducible unitary representation of the Poincare group for a continuous spin particle. We also show how the field can be used to build a set of covariant equations found by Wigner describing the wave function of one-particle states for a continuous spin particle. Finally we show that it is not possible to couple minimally a continuous spin particle to a background abelian gauge field, and we make some comments about the coupling to gravity. (AU)

FAPESP's process: 14/18634-9 - Gauge/Gravity duality
Grantee:Victor de Oliveira Rivelles
Support type: Research Projects - Thematic Grants
FAPESP's process: 11/11973-4 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
Grantee:Nathan Jacob Berkovits
Support type: Research Projects - Thematic Grants