A Scale Invariance due to Compositeness Condition in the Induced Gauge Theory

TL;DR

This paper demonstrates that the coupling constant in an induced gauge theory exhibits scale invariance due to a compositeness condition, analyzed through the renormalization group flow at leading order in 1/N.

Contribution

It shows how the compositeness condition leads to scale invariance of the coupling constant in the induced gauge theory.

Findings

Scale invariance of the coupling constant is demonstrated.

The analysis is performed at leading order in 1/N.

The renormalization group flow confirms the invariance.

Abstract

The scale invariance of the coupling constant in the induced gauge theory due to its compositeness condition is demonstrated in the renormalization group flow of the finite-cutoff gauge theory at the leading order in 1/N, where N is the number of the matter fermion species.