Cut-Off and Effective Meson Field Theory
QCD is known to reduce to an effective meson field theory when the number of colors is large. The baryons are soliton configurations of the meson fields. At low energy, chiral symmetry determines much of the meson Lagrangian. One such effective meson Lagrangian is the Nambu Jona-Lasinio (NJL) model.1 The constituent quark mass emerges from a spontaneous symmetry breaking. An explicit symmetry breaking term is added to ensure that the pion, which otherwise is a massless Goldstone boson, has a nonzero mass. Since the NJL Lagrangian is not renormalizable, the regularization procedure becomes part of the model. In the present paper, we investigate the behavior of the constituent quark mass in the vacuum with the choice of the regularization scheme and with the value of the corresponding cut-off.
KeywordsNuclear Matter Chiral Symmetry Lower Branch Regularization Scheme Regularization Procedure
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