Non-renormalization of induced charges and constraints on strongly coupled theories

TL;DR

This paper demonstrates that certain induced fermionic charges in quantum field theories are non-renormalized under specific conditions, leading to new constraints on strongly coupled theories akin to anomaly matching, with implications for supersymmetric QCD.

Contribution

It introduces the concept that induced charges are non-renormalized in certain regimes and proposes induced charge matching as a new constraint for strongly coupled theories.

Findings

Induced fermionic charges are not renormalized under valid momentum expansion.

Induced charge matching conditions resemble but differ from anomaly matching.

Constraints from induced charges align with low-energy mass patterns in supersymmetric QCD.

Abstract

It is shown that global fermionic charges induced in vacuum by slowly varying, topologically non-trivial background scalar fields are not renormalized provided that expansion in momenta of background fields is valid. This suggests that strongly coupled theories obey induced charge matching conditions which are analogous, but generally not equivalent, to 't Hooft anomaly matching conditions. We give a few examples of induced charge matching. In particular, the corresponding constraints in softly broken supersymmetric QCD suggest non-trivial low energy mass pattern, in full accord with the results of direct analyses.