Dynamical Symmetry Breaking in Supersymmetric Extensions of Nambu-Jona-Lasinio Model

TL;DR

This paper explores supersymmetric extensions of the Nambu-Jona-Lasinio model, analyzing how four-superfield interactions can lead to dynamical mass and symmetry breaking, including supersymmetry breaking effects.

Contribution

It introduces supersymmetric generalizations of the NJL model with four-superfield interactions and analyzes their role in dynamical mass and symmetry breaking.

Findings

Dynamical superfield Dirac mass can be generated.

Supersymmetry breaking can occur through these interactions.

Bi-superfield condensates drive symmetry breaking.

Abstract

In this paper we discuss Nambu-Jona-Lasinio model as a classical model for dynamical mass generation and symmetry breaking. In addition we discuss the possible supersymmetric extensions of this model resulting from interaction terms with four chiral superfields that may be regarded as a supersymmetric generalization of the four-fermion interactions of the Nambu-Jona-Lasinio model. A four-superfield interaction terms can be constructed as either dimension 6 or dimension 5 operators. Through analyzing solutions to the gap equations, we discuss the dynamical generation of superfield Dirac mass, including a supersymmetry breaking part. A dynamical symmetry breaking generally goes along with the dynamical mass generation, for which a bi-superfield condensate is responsible.