Modified anyonic particle and its fundamental gauge symmetries
type: Item
instance of: scholarly article
title: Modified anyonic particle and its fundamental gauge symmetries
zbMATH Open document ID: 1436.81155
DOI: 10.1155/2020/7126374
author: Mehdi Dehghani
author: Salman Abarghouei Nejad
author: M. Monemzadeh
published in: Advances in High Energy Physics
publication date: 2020-07-13T00:00:00Z
review text: Summary: In this article, we study the possibility of changing a physical degree of freedom of a particle to its quantum spin after quantization is applied. Our approach to do such a survey is increasing the fundamental symmetries of the anyonic particle model with the help of the symplectic formalism of constrained systems. After extracting the corresponding Poisson structure of all constraints, we compare the effect of gauging on the phase spaces, the number of physical degrees of freedom, canonical structures of both primary and gauged models, and the spin of the anyon, in terms of its energy.
Mathematics Subject Classification ID: 81V27
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 7219994
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/7126374
OpenAlex ID: W3027084808
cites work: Q3493041
cites work: Classical Mechanics
cites work: Noncommuting coordinates, exotic particles, and anomalous anyons in the Hall effect
cites work: Hamiltonian reduction of unconstrained and constrained systems
cites work: Obtaining gauge invariant actions via symplectic embedding formalism
cites work: Q3908200
cites work: Lagrange multiplier and Wess-Zumino variable as extra dimensions in the torus universe
cites work: Spinning toroidal brane cosmology; a classical and quantum survey
cites work: Foundations of Quantum Mechanics
cites work: Representations of non-commutative quantum mechanics and symmetries
cites work: Symmetries and dynamics in constrained systems
cites work: CLASSIFICATION OF CONSTRAINTS USING THE CHAIN-BY-CHAIN METHOD
cites work: Gauging the relativistic particle model on the noncommutative plane
cites work: Symplectic embedding of a massive vector-tensor theory with topological coupling
cites work: Enhancing Gauge Symmetries Via the Symplectic Embedding Approach
cites work: Symplectic quantization of open strings in constant background B-field
cites work: Explicit form of the gauge transformation generator in terms of constraints
cites work: Gauging of non-Abelian Chern–Simons model
cites work: Anyons
cites work: Vertex operators and quantum Hall effect
cites work: Vertex operators in the fractional quantum Hall effect
cites work: Classical and quantum conformal field theory
cites work: Quantum field theory and the Jones polynomial
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description: scientific article; zbMATH DE number 7219994