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A New Class of Particle in 2+1 Dimensions

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Type
Preprint
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Submission Date
Identifiers
DOI: 10.1016/j.physletb.2015.02.050
arXiv ID: 1404.1076
Source
arXiv
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Abstract

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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