A new class of particle in 2+1 dimensions

In two spatial dimensions, spin characterizes how particle states re-phase under changes of frame that leave their momentum and energy invariant. Massless particles can in principle have non-trivial spin in this sense, but all existing field theories only describe the trivial case. This letter prese...

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Main Authors: Philip Schuster, Natalia Toro
Format: Article
Language:English
Published: Elsevier 2015-04-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269315001410
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author Philip Schuster
Natalia Toro
author_facet Philip Schuster
Natalia Toro
author_sort Philip Schuster
collection DOAJ
description In two spatial dimensions, spin characterizes how particle states re-phase under changes of frame that leave their momentum and energy invariant. Massless particles can in principle have non-trivial spin in this sense, but all existing field theories only describe the trivial case. This letter presents a field theory for a massless particle with non-trivial physical spin. These particles are the (2+1)-dimensional analogues of “continuous-spin” particles in 3+1 dimensions, but here they have only two real degrees of freedom, related by parity. They can be understood as massless generalizations of anyons, but are simpler in key respects.
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spelling doaj.art-6a5e4ea63023453f8dcca3b85951414f2022-12-22T01:13:42ZengElsevierPhysics Letters B0370-26932015-04-01743224227A new class of particle in 2+1 dimensionsPhilip Schuster0Natalia Toro1Corresponding author.; Perimeter Institute for Theoretical Physics, Ontario, N2L 2Y5, CanadaPerimeter Institute for Theoretical Physics, Ontario, N2L 2Y5, CanadaIn two spatial dimensions, spin characterizes how particle states re-phase under changes of frame that leave their momentum and energy invariant. Massless particles can in principle have non-trivial spin in this sense, but all existing field theories only describe the trivial case. This letter presents a field theory for a massless particle with non-trivial physical spin. These particles are the (2+1)-dimensional analogues of “continuous-spin” particles in 3+1 dimensions, but here they have only two real degrees of freedom, related by parity. They can be understood as massless generalizations of anyons, but are simpler in key respects.http://www.sciencedirect.com/science/article/pii/S0370269315001410
spellingShingle Philip Schuster
Natalia Toro
A new class of particle in 2+1 dimensions
Physics Letters B
title A new class of particle in 2+1 dimensions
title_full A new class of particle in 2+1 dimensions
title_fullStr A new class of particle in 2+1 dimensions
title_full_unstemmed A new class of particle in 2+1 dimensions
title_short A new class of particle in 2+1 dimensions
title_sort new class of particle in 2 1 dimensions
url http://www.sciencedirect.com/science/article/pii/S0370269315001410
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