New arrangement of common 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 Hartree-Fock-Bogolyubov approach, and analyzes model Hamiltonians with a focus on the chiral limit.

Contribution

It introduces a new arrangement for calculating the QCD ground state using an approximate Hamiltonian and the Hartree-Fock-Bogolyubov method, with detailed analysis of model Hamiltonians and chiral limit transition.

Findings

Effective Hamiltonian for QCD ground state derived.

Comparison of different model Hamiltonians performed.

Transition to chiral limit analyzed in the Keldysh model.

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.