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The Mesonic Fluctuations and Corrections in the Chiral Symmetry Breaking Vacuum

arXiv:hep-ph/0102305 · doi:10.1016/S0370-2693(01)00740-7

Abstract

The mesonic quantum fluctuations and their corrections on the chiral condensate and pion polarization function are investigated in the self-consistent scheme of SU(2) Nambu-Jona-Lasinio model by exactly calculating the next-to-leading order (NLO) Feynman diagrams in $1/N_c$ expansion. While the fluctuations and corrections depend strongly on the meson's three-momentum cut-off $Λ_M$, no chiral symmetry restoration is found since the cancellation between the NLO and the one-quark-loop diagram with quark mass deviated from the mean-field value.

15 pages with 3 figures, abstract, introduction, conclusion revised