9,604 research outputs found
Anyons as spinning particles
A model-independent formulation of anyons as spinning particles is presented.
The general properties of the classical theory of (2+1)-dimensional
relativistic fractional spin particles and some properties of their quantum
theory are investigated. The relationship between all the known approaches to
anyons as spinning particles is established. Some widespread misleading notions
on the general properties of (2+1)-dimensional anyons are removed.Comment: 29 pages, LaTeX, a few corrections and references added; to appear in
Int. J. Mod. Phys.
Linear Differential Equations for a Fractional Spin Field
The vector system of linear differential equations for a field with arbitrary
fractional spin is proposed using infinite-dimensional half-bounded unitary
representations of the group. In the case of
-dimensional nonunitary representations of that group, ,
they are transformed into equations for spin- fields. A local gauge symmetry
associated to the vector system of equations is identified and the simplest
gauge invariant field action, leading to these equations, is constructed.Comment: 15 pages, LATEX, revised version of the preprint DFTUZ/92/24 (to be
published in J. Math. Phys.
Observers and their notion of spacetime beyond special relativity
It is plausible that quantum gravity effects may lead us to a description of
Nature beyond the framework of special relativity. In this case, either the
relativity principle is broken or it is maintained. These two scenarios (a
violation or a deformation of special relativity) are very different, both
conceptually and phenomenologically. We discuss some of their implications on
the description of events for different observers and the notion of spacetime.Comment: 10 page
Beyond Special Relativity at second order
The study of generic, non-linear, deformations of Special Relativity
parametrized by a high-energy scale , which was carried out at first order
in in Phys.Rev. D86, 084032 (2012), is extended to second order. This can
be done systematically through a ('generalized') change of variables from
momentum variables that transform linearly. We discuss the different
perspectives on the meaning of the change of variables, obtain the coefficients
of modified composition laws and Lorentz transformations at second order, and
work out how -Poincar\'e, the most commonly used example in the
literature, is reproduced as a particular case of the generic framework exposed
here.Comment: 19 page
Spacetime from locality of interactions in deformations of special relativity: the example of -Poincar\'e Hopf algebra
A new proposal for the notion of spacetime in a relativistic generalization
of special relativity based on a modification of the composition law of momenta
is presented. Locality of interactions is the principle which defines the
spacetime structure for a system of particles. The formulation based on
-Poincar\'e Hopf algebra is shown to be contained in this framework as
a particular example.Comment: 14 page
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