Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1996-02-12
Nucl.Phys. A608 (1996) 411-436
Physics
High Energy Physics
High Energy Physics - Phenomenology
revised version
Scientific paper
10.1016/0375-9474(96)00231-X
The effects of meson loops in the vacuum sector of the Nambu--Jona-Lasinio model are calculated. Using the effective action formalism we take consistently all next-to-leading-order $1 \over \Nc$ terms into account. This leads to a symmetry-conserving approach, in which all features of spontaneously broken chiral symmetry, such as the Goldstone theorem, the Gold\-ber\-ger--Treiman and the Gell-Mann--Oakes--Renner relations are preserved. Contributions to $\langle \overline{q}q \rangle$ and $F_\pi$ are calculated, and are shown to be substantial, at the level of $\sim 30\%$, consistent with the $1 \over \Nc$ expansion. The leading nonanalytic terms in the chiral expansion of $\langle \overline{q}q \rangle$, $F_\pi$ and $m_\pi$ agree have the same form as the one-loop results of chiral perturbation theory.
Broniowski Wojciech
Christov Chr.-V.
Goeke Klaus
Nikolov E.
Ripka Georges
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