Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-11-10
Phys.Lett. B343 (1995) 225-230
Physics
High Energy Physics
High Energy Physics - Theory
Complete version with references
Scientific paper
10.1016/0370-2693(94)01445-I
We discuss a relativistic free particle with fractional spin in 2+1 dimensions, where the dual spin components satisfy the canonical angular momentum algebra $\left\{ S_\mu , S_\nu \right\}\,=\,\epsilon_{\mu \nu \gamma}S^\gamma $. It is shown that it is a general consequence of these features that the Poincar\`e invariance is broken down to the Lorentz one, so indicating that it is not possible to keep simultaneously the free nature of the anyon and the translational invariance.
Dalmazi D.
Souza Dutra Alvaro de
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