Pion Properties in the 1/N_c-corrected NJL model
M. Oertel, M. Buballa, J. Wambach
TL;DR
This paper studies how mesonic fluctuations affect pion properties within the NJL model by incorporating 1/N_c corrections, revealing stable results at moderate cutoff values but instabilities at higher cutoffs.
Contribution
It introduces a detailed analysis of mesonic loop effects on pions in the NJL model with explicit 1/N_c corrections and discusses regularization challenges.
Findings
Pion properties are stable for moderate cutoff values.
Large cutoff values lead to instabilities in the model.
Mesonic fluctuations significantly impact pion propagator behavior.
Abstract
We investigate the effect of mesonic fluctuations on the pion propagator in the Nambu-Jona-Lasinio (NJL) model by explicitly taking into account 1/N_c corrections. Because of the non-renormalizability of the model we have to regularize the meson loops with an independent cutoff parameter Lambda_M. Whereas for moderate values of Lambda_M the pion properties change only quantitatively we encounter strong instabilities for larger values of Lambda_M.
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