A study of Schwinger-Dyson Equations for Yukawa and Wess-Zumino Models

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dc.creatorBashir, A.
dc.creatorDiaz-Cruz, J. Lorenzo
dc.date1999-06-14
dc.date.accessioned2026-07-07T10:53:08Z
dc.date.available2026-07-07T10:53:08Z
dc.descriptionWe study Schwinger-Dyson equation for fermions in Yukawa and Wess-Zumino models, in terms of dynamical mass generation and the wavefunction renormalization function. In the Yukawa model with $γ_5$-type interaction between scalars and fermions, we find a critical coupling in the quenched approximation above which fermions acquire dynamical mass. This is shown to be true beyond the bare 3-point vertex approximation. In the Wess-Zumino model, there is a neat cancellation of terms leading to no dynamical mass for fermions. We comment on the conditions under which these results are general beyond the rainbow approximation and also on the ones under which supersymmetry is preserved and the scalars as well do not acquire mass. The results are in accordance with the non-renormalization theorem at least to order $α$ in perturbation theory. In both the models, we also evaluate the wavefunction renormalization function, analytically in the neighbourhood of the critical coupling and numerically, away from it.
dc.description12 pages and 7 Postscript figures, accepted for publication in Journal of Physics G: Nuclear and Particle Physics
dc.identifierhttps://arxiv.org/abs/hep-ph/9906360
dc.identifierhttp://arxiv.org/abs/hep-ph/9906360
dc.identifierJ.Phys.G25:1797-1805,1999
dc.identifierdoi:10.1088/0954-3899/25/9/303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185382
dc.subjectHigh Energy Physics - Phenomenology
dc.titleA study of Schwinger-Dyson Equations for Yukawa and Wess-Zumino Models
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