No massless pions in Nambu-Jona-Lasinio model due to chiral fluctuations

Aug, 1999
4 pages
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199920052011201720214501
Abstract:
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 MM, pions have a nonzero mass equal to the mass of \s -mesons, both being of the order of MM. 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.
  • Jona-Lasinio-Nambu model
  • symmetry: chiral
  • fluctuation
  • critical phenomena
  • pi: massive
  • f0(600): massive
  • numerical calculations