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Título : Loop Representation of charged particles interacting with Maxwell and Chern-Simons fields
Autor : Fuenmayor, Ernesto
Leal, Lorenzo
Revoredo, Ryan
Palabras clave : The loop
formulation
Both Maxwell and Chern-Simons
existence
the anyonic
Maxwell
Fecha de publicación : 18-Jan-2013
Resumen : The loop representation formulation of non-relativistic particles coupled with abelian gauge fields is studied. Both Maxwell and Chern-Simons interactions are separately considered. It is found that the loop-space formulations of these models share significant similarities, although in the Chern- Simons case there exists an unitary transformation that allows to remove the degrees of freedom associated with the paths. The existence of this transformation, which allows to make contact with the anyonic interpretation of the model, is subjected to the fact that the charge of the particles be quantized. On the other hand, in the Maxwell case, we find that charge quantization is necessary in order to the geometric representation be consistent.
URI : http://saber.ucv.ve/jspui/handle/123456789/2440
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