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Stationary phase corrections in the process of bosonization of multi-quark interactions

Alexander A. Osipov·Brigitte Hiller·Joao Moreira·Alex H. Blin
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Abstract

The functional integration over the auxiliary bosonic variables of cubic order related with the effective action of the Nambu -- Jona-Lasinio model with 't Hooft term has recently been obtained in the form of a loop expansion. Even numbers of loops contribute to the action, while odd numbers of loops are assigned to the measure. We consider the two-loop corrections and analyse their effect on the low-lying pseudoscalar and scalar mass spectra, quark condensates and weak decay constants. The results are compared to the leading order calculations and other approaches.

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Alexander A. Osipov, Brigitte Hiller, Joao Moreira, Alex H. Blin. 2006-01-10. Stationary phase corrections in the process of bosonization of multi-quark interactions. https://doi.org/10.1140/epjc%2Fs2006-02488-7

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