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• W2022067252 abstract "In this paper, we study generic nonlocal Nambu-Jona-Lasinio models for four-dimensional QCD in the limit of a large number of colors. We diagonalize, through a Bogoliubov-type transformation, the Hamiltonian of the model completely in terms of the compound operators creating/annihilating mesons---bound states of dressed quarks and antiquarks---and demonstrate a one-to-one correspondence between the Bogoliubov diagonalization condition and the Bethe-Salpeter equation for bound states. We conclude that, in the leading order in ${N}_{C}$, the nontrivial contents of the theory is entirely encoded in the chiral angle---the solution to the mass-gap equation for dressed quarks. As a consequence, we extend the statement of existence of excited solutions to the mass-gap equation, called vacuum replicas, beyond the BCS level and prescribe a new index to the mesonic operators---the label of the vacuum state in which the corresponding meson is created." @default.
• W2022067252 created "2016-06-24" @default.
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• W2022067252 date "2004-11-15" @default.
• W2022067252 modified "2023-09-23" @default.
• W2022067252 title "Mesonic states and vacuum replicas in potential quark models for QCD" @default.
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• W2022067252 doi "https://doi.org/10.1103/physrevd.70.094020" @default.
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