# Fradkin-Shenker Continuity and "Instead-of-Confinement" Phase

## TL;DR

This paper discusses the continuous connection between Higgs, confinement, and

## Contribution

It combines insights from the Fradkin-Shenker continuity with supersymmetric gauge theories to propose a new understanding of phases in Yang-Mills theories.

## Key findings

- Higgs and confinement regimes are continuously connected in certain theories.
- The
- paper_type

## Abstract

In 1979 Fradkin and Shenker observed \cite{Frad} that if one considers a Yang-Mills theory fully Higgsed by virtue of scalar fields in the fundamental representation of the ${\rm SU}(N)$ gauge group there is no phase transition in passing from the Higgs regime (weak coupling) to the "QCD confinement" regime at strong coupling. The above two regimes are continuously connected. We combine this observations with lessons from supersymmetric gauge theories which show that the Higgs phase is continuously connected to what is called "instead-of-confinement" phase rather than the phase with quark confinement. In the "instead-of-confinement" phase monopoles are confined and play a role of "constituent" quarks inside hadrons. In contrast, the Seiberg-Witten phase of quark confinement is not analytically connected to the Higgs phase. We propose dedicated lattice studies of Yang-Mills theories with scalar quarks.