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Supersymmetric NJL-Type Model for a Real Superfield Composite

1
Institute of Physics, Academia Sinica, Taipei 115, Taiwan
2
Department of Physics, National Central University, Chung-Li 32054, Taiwan
3
Department of Physics, Faculty of Arts and Sciences, Süleyman Demirel University, Isparta 32260, Turkey
4
Center for High Energy and High Field Physics, National Central University, Chung-Li 32054, Taiwan
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(12), 1507; https://doi.org/10.3390/sym11121507
Received: 19 November 2019 / Revised: 26 November 2019 / Accepted: 29 November 2019 / Published: 11 December 2019
(This article belongs to the Special Issue Modern Application of Symmetry Principles to High Energy Physics)
The Nambu–Jona-Lasinio (NJL) model is a classic theory for the strong dynamics of composite fields and symmetry breaking. Supersymmetric versions of the NJL-type models are certainly of interest too. Particularly, the case with a composite (Higgs) chiral superfield formed by two (quark) chiral superfields has received much attention. Here, we propose a prototype model with a four-chiral-superfield interaction, giving a real superfield composite. It has a spin-one composite vector field with properties being somewhat similar to a massive gauge boson of spontaneously broken gauge symmetry. As such, it is like the first supersymmetric analog to non-supersymmetric models with spin-one composites. The key formulation developed here is the picture of quantum effective action as a superfield functional with parameters like constant superfields, having explicit supersymmetric and Grassmann number dependent supersymmetry breaking parts. Following the standard non-perturbative analysis for NJL-type models, the gap equation analysis shows plausible signature of dynamical supersymmetry breaking which is worth more serious analysis. With an extra superfield model Lagrangian included, comparison between the models and their non-supersymmetric counterparts is discussed, illustrating the notion of supersymmetrization is nontrivial in the setting. View Full-Text
Keywords: NJL model; superfield composite; supersymmetry NJL model; superfield composite; supersymmetry
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Cheng, Y.; Dai, Y.-M.; Faisel, G.; Kong, O.C.W. Supersymmetric NJL-Type Model for a Real Superfield Composite. Symmetry 2019, 11, 1507.

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