Factorization breaking of four-quark condensates in the Nambu Jona Lasinio model

Abstract

We investigate the factorization hypothesis of the four-quark condensate $⟨q\bar{q}q\bar{q}⟩=A⟨q\bar{q}{⟩}^2$ with the help of the Nambu Jona-Lasinio Model supplemented with eighth order interactions. For that purpose we use the bosonization method with multiple auxiliary variables. We find that in a simplified U(1) version of the model factorization holds, whereas in the full SU(3)-flavor version of the model factorization is broken by terms which are related to the 't Hooft interactions.

10 pages, revised version, some corrected expressions

References in corpus (6)

• Direct determination of the strange and light quark condensates from full lattice QCD
• Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
• Four-Quark Condensates in Nucleon QCD Sum Rules
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Cited by in corpus (4)

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• Strangeness content of the pion in the U(3) Nambu-Jona-Lasinio model
• Quark-antiquark states of the lightest scalar mesons within the Nambu-Jona-Lasinio model with flavor-dependent coupling constants
• Investigation of ${\Delta }^0{\Delta }^0$ dibaryon in QCD