Just one more approach to calculating the QCD ground state

TL;DR

This paper develops an approximate method to calculate the QCD ground state considering stochastic gluon fields, using a Hartree-Fock-Bogolyubov approach, and analyzes the effects of quark filling and chiral limit transitions.

Contribution

It introduces a new approximate procedure for the effective Hamiltonian and ground state calculation in QCD, including analysis of model Hamiltonians and chiral limit transition details.

Findings

Derived the effective Hamiltonian for quark-gluon interactions.

Found the ground state using Hartree-Fock-Bogolyubov approach.

Identified degenerate filled-in state with the vacuum.

Abstract

The quark behaviour in the background of intensive stochastic gluon field is studied. An approximate procedure for calculating the effective Hamiltonian is developed and the corresponding ground state within the Hartree-Fock-Bogolyubov approach is found. The comparative analysis of various model Hamiltonian is given and transition to the chiral limit in the Keldysh model is discused in detail. We study response to the process of filling up the Fermi sphere with quarks, calculate the vacuum pressure and demonstrate the existence of filled-in state degenerate with the vacuum one.