# Supersymmetric NJL-Type Model for a Real Superfield Composite

^{1}

^{2}

^{3}

^{4}

^{*}

## Abstract

**:**

## 1. Introduction

## 2. The Model Lagrangian

## 3. NJL Analysis and the Gap Equations

## 4. Solutions to the Gap Equation

## 5. Kinetic and Mass Terms for the Composite Fields

## 6. Discussions and Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 1.**The superfield gap equation. The supersymmetric and ${\theta}^{2}{\overline{\theta}}^{2}$ component of the equation correspond to wave function renormalization and the soft mass generation, separately.

**Figure 2.**The tadpole diagrams both in renormalized superfields and component fields: (

**a**) the tadpole supergraph, (

**b**) the D-tadpole diagram, (

**c**) the C-tadpole diagrams. Note that there is no N-tadpole diagram, as we discuss only the development of $\u2329D\u232a$.

**Figure 3.**Numerical plot of nontrivial solutions to the soft mass gap equation. Coupling parameter $G=\frac{{g}^{2}{N}_{c}{\Lambda}^{2}}{16{\pi}^{2}}$ is plotted against the normalized soft mass parameter $s=\frac{{\tilde{m}}^{2}}{{\Lambda}^{2}}$.

**Figure 4.**(

**a**) The supergraph contributing to two-point function for U. (

**b**) The (component) diagram contributing to the fermion mass matrix.

**Figure 5.**The chirality conserving self-energy diagrams for $\chi $ and $\lambda $, which make $\chi $ and $\lambda $ dynamic.

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**MDPI and ACS Style**

Cheng, Y.; Dai, Y.-M.; Faisel, G.; Kong, O.C.W. Supersymmetric NJL-Type Model for a Real Superfield Composite. *Symmetry* **2019**, *11*, 1507.
https://doi.org/10.3390/sym11121507

**AMA Style**

Cheng Y, Dai Y-M, Faisel G, Kong OCW. Supersymmetric NJL-Type Model for a Real Superfield Composite. *Symmetry*. 2019; 11(12):1507.
https://doi.org/10.3390/sym11121507

**Chicago/Turabian Style**

Cheng, Yifan, Yan-Min Dai, Gaber Faisel, and Otto C. W. Kong. 2019. "Supersymmetric NJL-Type Model for a Real Superfield Composite" *Symmetry* 11, no. 12: 1507.
https://doi.org/10.3390/sym11121507