Instanton Screening in the Nonperturbative Gluodynamics

TL;DR

This paper investigates how nonperturbative gluon fields influence instanton configurations in gluodynamics, revealing significant modifications to instanton profiles due to quantum effects, with implications for understanding the nonperturbative QCD vacuum.

Contribution

It introduces an effective action for instantons interacting with nonperturbative fields and demonstrates how quantum effects alter the instanton profile shape.

Findings

Quantum effects modify the instanton profile from power-law to Airy function asymptotics.

Nonperturbative gluon fields significantly impact instanton configurations.

The effective action approach elucidates instanton interactions with the gluonic vacuum.

Abstract

The gluon fields screening in the stochastic vacuum of gluodynamics is studied. The effective action is derived for the instanton interacting with nonperturbative fields. Quantum nonperturbative effects are shown to affect greatly the shape of instanton. The power asymptotics x^2 of the classical "instanton's profile function" at large distances is replaced due to these effects by Airy function asymptotics.