No Spontaneous Breakdown of Chiral Symmetry in Nambu-Jona-Lasinio Model

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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Contains a number of improvements. Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html . Latest

Scientific paper

10.1016/S0370-2693(00)00056-3

We argue that the spontaneous breakdown of symmetry in the chirally symmetric Nambu--Jona-Lasinio model which was supposed to illustrate the origin of the low mass of pions in hadron physics does not occur due to strong fluctuations in the sigma - pi field space. Although quarks acquire a constituent mass, sigma and pi turn out to have equal heavy masses of the order of the constituent quark mass.

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