Near-SUSY to Non-SUSY Crossover

TL;DR

This paper investigates the continuous connection between near-supersymmetric and non-supersymmetric regimes in SU(N_c) gauge theories, providing empirical evidence and new predictions about their behavior across different SUSY breaking scales.

Contribution

It demonstrates the continuous crossover from SUSY to non-SUSY limits in gauge theories and offers new predictions for theories with comparable numbers of flavors and colors.

Findings

Evidence of continuous connection between SUSY and non-SUSY regimes

Behavior of condensates and hadron spectra supports crossover

New predictions for N_f/N_c rom O(1)

Abstract

Gauge theories can be solved exactly slightly away from the supersymmetric (SUSY) limit softly broken by anomaly mediation when the size of SUSY breaking is much smaller than the dynamical scale ($m \ll \Lambda$). We show empirical evidence that the near-SUSY limit is continuously connected to the non-SUSY limit ($m \gg \Lambda$) in $\mathrm{SU}(N_c)$ gauge theories with $N_f$ quarks in the fundamental representation. The evidence includes the behavior of quark bi-linear condensate and gluon condensates, light hadron spectra, and consistency with the large $N_c$ limit. In addition, we present new predictions when $N_f/N_c \gtrsim O(1)$.