Towards Phonon-Like Excitations of Instanton Liquid

TL;DR

This paper investigates phonon-like excitations in the instanton liquid model, deriving the effective Lagrangian and analyzing their spectrum, with masses related to the QCD scale, to understand their physical properties.

Contribution

It introduces a detailed analysis of phonon-like excitations in the instanton liquid, deriving the effective Lagrangian and spectrum properties, which was not previously explored.

Findings

Effective Lagrangian for excitations derived

Spectrum properties related to QCD scale analyzed

Masses of excitations linked to $\Lambda_{QCD}$

Abstract

The phonon-like 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.