Remarks on a gauge theory for continuous spin particles
| Autor: | Victor O. Rivelles |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | European Physical Journal C: Particles and Fields, Vol 77, Iss 7, Pp 1-10 (2017) |
| Druh dokumentu: | article |
| ISSN: | 1434-6044 1434-6052 |
| DOI: | 10.1140/epjc/s10052-017-4927-1 |
| Popis: | 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 $${x^\mu }$$ x μ and on a covector $$\eta _\mu $$ η μ . We discuss how fields can be expanded in $$\eta _\mu $$ η μ 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 $$\eta $$ η -hyperboloid $$\eta ^2+1=0$$ η 2 + 1 = 0 and we show how it restricts the dynamics of the gauge field to the $$\eta $$ η -hyperboloid and its first neighbourhood. We then show that on-shell the field carries one single irreducible unitary representation of the Poincaré 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. |
| Databáze: | Directory of Open Access Journals |
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