The Mesonic Fluctuations and Corrections in the Chiral Symmetry Breaking Vacuum

Details The Mesonic Fluctuations and Corrections in the Chiral Symmetry Breaking Vacuum The Mesonic Fluctuations and Corrections in the Chiral Symmetry Breaking Vacuum

2001-02-25

arxiv.org/abs/hep-ph/0102305v2

Phys.Lett. B514 (2001) 63-71

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/S0370-2693(01)00740-7

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 $\Lambda_M$, 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.

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