On gauge coupling constant in linearization of nonlinear supersymmetry

Details On gauge coupling constant in linearization of nonlinear supersymmetry On gauge coupling constant in linearization of nonlinear supersymmetry

2009-06-08

arxiv.org/abs/0906.1471v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages

Scientific paper

We study in two space-time dimensions (d = 2) the relation between N = 2 supersymmetric (SUSY) QED theory and N = 2 nonlinear (NL) SUSY model by linearizing N = 2 NLSUSY generally based upon the fundamental notions of the basic theory. We find a remarkable mechanism which determines theoretically the magnitude of the bare gauge coupling constant from the general structure of auxiliary fields. We show explicitly in d = 2 that the NL/linear SUSY relation (i.e. a SUSY compositeness condition for all particles) determines the magnitude of the bare electromagnetic coupling constant (i.e. the fine structure constant) of N = 2 SUSY QED.

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