Supersymmetric anyon model coupled to the electromagnetic field |
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Authors: | A Foussats E Manavella C Repetto O P Zandron O S Zandron |
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Institution: | (1) Facultad de Ciencias Exactas Ingeniería y Agrimensura de la UNR, 2000 Rosario, Argentina;(2) Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina |
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Abstract: | We construct a supersymmetric gauge model describing the electromagnetic interaction of anyons. This is done by means of the
supersymmetric generalization of theU(1) ×U(1) gauge theory. The model contains the statisticalU(1) gauge field endowed with a Chern-Simons mass term and the electromagnetic field, both with the corresponding superpartners,
coupled to matter fields. This constrained system is analyzed from the Hamiltonian point of view and the canonical quantization
is found. The path-integral method is used to develop the perturbative formalism. We define suitable propagators and vertices
and give the diagrammatics and the Feynman rules. |
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