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arXiv · 1404.4094

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

Fabio L. Braghin·Fernando S. Navarra
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Abstract

We investigate the factorization hypothesis of the four-quark condensate $\langle q \bar{q} q \bar{q} \rangle = \, A \, \langle q \bar{q} \rangle^2$ 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.

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Fabio L. Braghin, Fernando S. Navarra. 2014-10-03. Factorization breaking of four-quark condensates in the Nambu Jona Lasinio model. https://doi.org/10.1103/physrevd.91.074008

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