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

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

2006-01-10

arxiv.org/abs/hep-ph/0601074v1

Eur.Phys.J.C46:225-233,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

22 pages, LaTeX, to appear in European Physics Journal C

Scientific paper

10.1140/epjc/s2006-02488-7

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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