Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Zeitschrift für Naturforschung A

Whither the Anyon ?

C. R. Hägen

Published Feb 1, 1997• 1 citation
Publisher

Abstract

Abstract It is pointed out that Chern-Simons field theories do not always allow an interpretation in terms of anyons even in the nonrelativistic limit. Significantly, when the two approaches are found to differ the former is the one which is compatible with established physical principles. Thus the role left for the anyon is that of a very special subcase of Chern-Simons theories in the limit in which relativistic and spin considerations become irrelevant.

DOI
10.1515/zna-1997-1-240

Related papers

Anyons as quon particles

Velimir Bardek, Miroslav Dorešić, Stjepan Meljanac

The momentum operator representation of nonrelativistic anyons is developed in the Chern-Simons formulation of fractional statistics. The connection between anyons and the $q$-deformed bosonic algebra is established.

arXiv:hep-th/9310189•Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields•Mar 15, 1994•15 citations

1D anyons in relativistic field theory

Arata Yamamoto

Abstract We study relativistic anyon field theory in 1+1 dimensions. While (2+1)-dimensional anyon fields are equivalent to boson or fermion fields coupled with the Chern–Simons gauge fields, (1+1)-dimensional anyon fields are equivalent to boson or fermion fields with many-body interaction. We derive the path integral representation and perform a lattice Monte Carlo simulation.

arXiv:1709.06323•Progress of Theoretical and Experimental Physics•Feb 26, 2018•0 citations

Some Aspects of Anyon Thermodynamics and Chern-Simons Theory

Francesco Mancarella

•Mar 28, 2015•0 citations

Self-consistent renormalization of Chern-Simons term and correlations in system of anyons

Ya.I. Kogan, Dmitri V. Khveshchenko

•May 1, 1990•10 citations

Ideal Anyons

Stéphane Ouvry, Division de Physique Théorique, IPN +1 more

A general introduction to the anyon model (braid group, Chern-Simons Lagrangian and Aharonov-Bohm Hamiltonian formulations) is given. A review follows on exact results and possible ways of getting additional information, as mean field approach, perturbation theory, and projection on the lowest Landau level of an external magnetic field. To be published in Mesoscopic Quantum Physics - Les Houches, Session LXI, 1994 - E. Akkermans, G. Montambaux and J.-L. Pichard, eds. - North- Holland, Amsterdam.

arXiv:cond-mat/9412035•Dec 7, 1994•0 citations

Screening in Anyon Gas

Subir Ghosh

Anyon gas with interparticle (retarded) Coulomb interaction has been studied. The resulting system is shown to be a collection of dressed anyons, with a screening factor introduced in their spin. Close structural similarity with the Chern-Simons construction of anyons has helped considerably in computing the screening effect. Finally the present model is compared with the conventional Chern-Simons construction. The possible existence of particles having arbitrary spin and statistics has been proved quite some time back [1, 2]. However, dynamical model building, on the other hand, has proved to be rather controversial, with the dispute still continuing. Basically there are two broad lines along which the models are conceived: (i) The Chern-Simons (CS) construction [3], where a point charge is coupled to CS eletrodynamics. Removal of the auxiliary (or statistical) CS gauge field renders the particle anyonic. (ii) The construction of minimal anyon field equations, where one starts from very general physical postulates, such as the mass shell and Pauli-Lubanski condition for the particle [4]. A variant of the latter scheme is the spinning particle model [5, 6, 7], with which we are concerned in the present Letter. The connection between the latter two is elaborated in [8].

•Jan 1, 1997•1 citation
Abstract It is pointed out that Chern-Simons field theories do not always allow an interpretation in terms of anyons even in the nonrelativistic limit. Significantly, when the two approaches are found to differ the former is the one which is compatible with established physical principles. Thus the role left for the anyon is that of a very special subcase of Chern-Simons theories in the limit in which relativistic and spin considerations become irrelevant.
The momentum operator representation of nonrelativistic anyons is developed in the Chern-Simons formulation of fractional statistics. The connection between anyons and the qqq-deformed bosonic algebra is established.
Anyon gas with interparticle (retarded) Coulomb interaction has been studied. The resulting system is shown to be a collection of dressed anyons, with a screening factor introduced in their spin. Close structural similarity with the Chern-Simons construction of anyons has helped considerably in computing the screening effect. Finally the present model is compared with the conventional Chern-Simons construction. The possible existence of particles having arbitrary spin and statistics has been proved quite some time back [1, 2]. However, dynamical model building, on the other hand, has proved to be rather controversial, with the dispute still continuing. Basically there are two broad lines along which the models are conceived: (i) The Chern-Simons (CS) construction [3], where a point charge is coupled to CS eletrodynamics. Removal of the auxiliary (or statistical) CS gauge field renders the particle anyonic. (ii) The construction of minimal anyon field equations, where one starts from very general physical postulates, such as the mass shell and Pauli-Lubanski condition for the particle [4]. A variant of the latter scheme is the spinning particle model [5, 6, 7], with which we are concerned in the present Letter. The connection between the latter two is elaborated in [8].