On two dimensional coupled bosons and fermions

Details On two dimensional coupled bosons and fermions On two dimensional coupled bosons and fermions

2002-08-13

arxiv.org/abs/hep-th/0208090v1

J.Math.Phys. 44 (2003) 198-219

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, no figures

Scientific paper

10.1063/1.1516846

We study complex bosons and fermions coupled through a generalized Yukawa type coupling in the large-N_c limit following ideas of Rajeev [Int. Jour. Mod. Phys. A 9 (1994) 5583]. We study a linear approximation to this model. We show that in this approximation we do not have boson-antiboson and fermion-antifermion bound states occuring together. There is a possibility of having only fermion-antifermion bound states. We support this claim by finding distributional solutions with energies lower than the two mass treshold in the fermion sector. This also has implications from the point of view of scattering theory to this model. We discuss some aspects of the scattering above the two mass treshold of boson pairs and fermion pairs. We also briefly present a gauged version of the same model and write down the linearized equations of motion.

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