Spontaneous Supersymmetry Breaking, Negative Metric and Vacuum Energy

TL;DR

This paper re-analyzes a supersymmetric model revealing that spontaneous SUSY breaking occurs only with negative metric particles in strong coupling, while preserving SUSY in weak coupling without such particles.

Contribution

It introduces an auxiliary superfield method showing the emergence of a hidden local U(1) symmetry and clarifies the conditions for SUSY breaking and negative metric particles.

Findings

SUSY is preserved in weak coupling without negative metric particles.

SUSY is dynamically broken in strong coupling with negative metric particles.

A hidden local U(1) symmetry emerges in the model.

Abstract

The supersymmetric Nambu-Jona-Lasinio model proposed by Cheng, Dai, Faisel and Kong is re-analyzed by using an auxiliary superfield method in which a hidden local U(1) symmetry emerges. It is shown that, in the healthy field-space region where no negative metric particles appear, only SUSY preserving vacua can be realized in the weak coupling regime and a composite massive spin-1 supermultiplets appear as a result of spontaneous breaking of the hidden local U(1) symmetry. In the strong coupling regime, on the other hand, SUSY is dynamically broken, but it is always accompanied by negative metric particles.