Is Induced QCD really QCD? The preservation of asymptotic freedom by matter interactions

TL;DR

This paper investigates whether matter interactions in induced QCD preserve asymptotic freedom and finds that, contrary to expectations, they tend to enhance it at two loops, challenging the equivalence to real QCD.

Contribution

The study demonstrates that matter interactions in induced QCD do not spoil but rather enhance asymptotic freedom at two loops, questioning the equivalence to real QCD.

Findings

Matter interactions tend to enhance asymptotic freedom at two loops.

Induced QCD may not be equivalent to real QCD due to these effects.

Results are based on perturbative two-loop calculations.

Abstract

The program of induced QCD requires that there exist self-interactions among the heavy matter fields (an adjoint scalar and a few fermions in the fundamental representation) which tend to spoil the asymptotic freedom of SU(N) gauge theory. We consider general interactions between such matter fields and show that, on the contrary, to two loops, they all tend to enhance asymptotic freedom in the perturbative regime. This result casts doubt on whether induced QCD is equivalent to real QCD.