No Massless Pions in Nambu-Jona-Lasinio Model due to Chiral Fluctuations

Details No Massless Pions in Nambu-Jona-Lasinio Model due to Chiral Fluctuations No Massless Pions in Nambu-Jona-Lasinio Model due to Chiral Fluctuations

1999-08-06

arxiv.org/abs/hep-ph/9908284v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

Version 2 contains several improvements. Author Information under http://www.physik.fu-berlin.de/~kleinert/institution.html .

Scientific paper

In contrast to common belief, the chirally symmetric Nambu--Jona-Lasinio model does not contain massless pions, due to strong chiral fluctuations. Although quarks acquire spontaneously a nonzero constituent mass $M$, pions have a nonzero mass equal to the mass of $ \s $-mesons, both being of the order of $M$. This result is found in several cutoff schemes. Our derivation is nonperturbative, but involves a simple approximation (London limit) which should, however, receive only quantitative, no qualitative corrections.

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