Extended model of elementary particles based on an analogy with superconductivity

Abstract

An extended model of elementary particles based on an analogy with superconductivity is presented. Starting from the modified Nambu-Jona-Lasinio model of a massless fermion field with the quartic self-interactions, we derive coupled differential equations for the self-consistent fermion mass based on the relativistic Hartree-Fock-Bogoliubov approximation. The physical implication of these equations is explored and is shown to suggest a stringlike picture for the extended hadrons.