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Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I

Phys. Rev. 122, 345 – Published 1 April 1961
Y. Nambu and G. Jona-Lasinio


It is suggested that the nucleon mass arises largely as a self-energy of some primary fermion field through the same mechanism as the appearance of energy gap in the theory of superconductivity. The idea can be put into a mathematical formulation utilizing a generalized Hartree-Fock approximation which regards real nucleons as quasi-particle excitations. We consider a simplified model of nonlinear four-fermion interaction which allows a γ5-gauge group. An interesting consequence of the symmetry is that there arise automatically pseudoscalar zero-mass bound states of nucleon-antinucleon pair which may be regarded as an idealized pion. In addition, massive bound states of nucleon number zero and two are predicted in a simple approximation.

The theory contains two parameters which can be explicitly related to observed nucleon mass and the pion-nucleon coupling constant. Some paradoxical aspects of the theory in connection with the γ5 transformation are discussed in detail.

DOI: http://dx.doi.org/10.1103/PhysRev.122.345

  • Received 27 October 1960
  • Published in the issue dated April 1961

© 1961 The American Physical Society

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Authors & Affiliations

Y. Nambu and G. Jona-Lasinio*

  • The Enrico Fermi Institute for Nuclear Studies and the Department of Physics, The University of Chicago, Chicago, Illinois

  • *Fulbright Fellow, on leave of absence from Instituto di Fisica dell' Universita, Roma, Italy and Istituto Nazionale di Fisica Nucleare, Sezione di Roma, Italy.


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