Phononlike Excitations of Instanton Liquid and New Scale of Non-perturbative QCD

TL;DR

This paper investigates phononlike excitations in the instanton liquid model of QCD, deriving an effective Lagrangian and analyzing their spectrum, with masses related to the QCD scale, to understand non-perturbative phenomena.

Contribution

It introduces a new approach to describe phononlike excitations in the instanton liquid and derives their effective Lagrangian and spectral properties.

Findings

Effective Lagrangian for phononlike excitations derived

Spectrum properties linked to $\Lambda_{QCD}$

Masses of excitations estimated by QCD scale

Abstract

The phononlike excitations of (anti-)instanton ($\bar II$) liquid due to adiabatic variations of vacuum wave functions are studied in this paper. The kinetic energy term is found and the proper effective Lagrangian for such excitations is evaluated. The properties of their spectrum, while corresponding masses are defined by $\Lambda_{QCD}$, are investigated.