Pion and Kaon Distribution Amplitudes up to twist-3 in the QCD Instanton Vacuum

TL;DR

This paper investigates pion and kaon distribution amplitudes up to twist-3 within the QCD instanton vacuum, constructing explicit quasi-distributions, analyzing their behavior at different resolutions, and comparing with lattice results.

Contribution

It explicitly constructs and analyzes twist-3 pion and kaon distribution amplitudes in the QCD instanton vacuum, including their evolution and comparison with lattice data.

Findings

Distribution amplitudes are derived in the instanton vacuum framework.

Results are consistent with asymptotic limits and lattice computations.

QCD evolution is used to analyze higher resolution behavior.

Abstract

We discuss the pion and kaon distribution amplitudes up to twist-3 in the context of the random instanton vacuum (RIV). We construct explicitly the pertinent quasi-pion and quasi-kaon distributions in the RIV, and analyze them in leading order in the diluteness factor, at a resolution fixed by the inverse instanton size. The distribution amplitudes (DA) follow from the large momentum limit. The results at higher resolution are discussed using QCD evolution, and compared to their asymptotic limits and some lattice results.