"Non-renormalization" without supersymmetry

TL;DR

This paper demonstrates that in a non-supersymmetric matrix model extension, the large N background, spectrum, and interactions remain unaffected by the gauge coupling, indicating a non-renormalization property.

Contribution

It shows that certain properties of a non-supersymmetric matrix model are invariant under changes in the gauge coupling, extending non-renormalization concepts beyond supersymmetric theories.

Findings

Large N background and spectrum are independent of g_{YM}

Interaction properties remain unchanged with varying g_{YM}

Non-renormalization holds for more general D terms

Abstract

The g_{YM} perturbed, non supersymmetric extension of the dual single matrix description of 1/2 BPS states, within the Hilbert space reduction to the oscillator subsector associated with chiral primaries is considered. This matrix model is described in terms of a single hermitean matrix. It is found that, apart from a trivial shift in the energy, the large N background, spectrum and interaction of invariant states are independent of g_{YM}. This property applies to more general D terms.