Bogolyubov-Hartree-Fock approach to studying the QCD ground state
S.V. Molodtsov, G.M. Zinovjev

TL;DR
This paper develops an approximate Hartree-Fock-Bogolyubov method to analyze the QCD ground state influenced by stochastic gluon fields, comparing models and exploring the chiral limit transition.
Contribution
It introduces a novel approximation procedure for the effective Hamiltonian and applies it to study the QCD ground state within a Bogolyubov-Hartree-Fock framework.
Findings
Effective Hamiltonian approximation developed
Ground state analyzed within Hartree-Fock-Bogolyubov approach
Transition to chiral limit discussed in the Keldysh model
Abstract
The quark's behaviour while influenced by a strong stochastic gluon field is analyzed. 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 Hamiltonian models is given and transition to the chiral limit in the Keldysh model is discussed in detail.
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