# Gauge theories induced by bosons in fundamental representation

## TL;DR

This paper explores how a lattice scalar boson system in fundamental representations induces gauge theories, highlighting the conditions for deconfinement and the influence of scalar mass on the effective gauge action.

## Contribution

It demonstrates that a lattice theory with scalar bosons induces a standard gauge theory only at large flavor numbers and establishes conditions for deconfinement and effective action convergence.

## Key findings

- Induces gauge theory at large N_f
- Deconfined phase at strong scalar self-coupling
- Lower scalar mass limit for effective action convergence

## Abstract

A lattice theory of scalar bosons in the fundamental representation of the gauge group $SU(N_c)$ and of the global symmetry group $SU(N_f)$ is shown to induce a standard gauge theory only at large $N_f$. The system is in a deconfined phase at strong scalar self-coupling and any finite $N_f$. The requirement of convergence of the effective gauge action imposes a lower limit on the scalar mass.