On the q-deformation of the NJL model

Details On the q-deformation of the NJL model On the q-deformation of the NJL model

1999-05-19

arxiv.org/abs/nucl-th/9905041v1

Mod.Phys.Lett. A15 (2000) 219-228

Physics

Nuclear Physics

Nuclear Theory

5 eps figures

Scientific paper

10.1142/S0217732300000219

Using a q-deformed fermionic algebra we perform explicitly a deformation of
the Nambu-Jona-Lasinio (NJL) Hamiltonian. In the Bogoliubov-Valatin approach we
obtain the deformed version of the functional for the total energy, which is
minimized to obtain the corresponding gap equation. The breaking of chiral
symmetry and its restoration in the limit $q \to 0$ are then discussed.

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