Modified Anyonic Particle and Its Fundamental Gauge Symmetries

Abstract EN

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.