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Bosonization, effective action, and R-operation in a generalized Nambu-Jona-Lasinio model
Sergii Kutnii
Bosonization in a theory with four-fermion interaction of Nambu-Jona-Lasinio type with additional U(N) symmetry is studied. It is demonstrated that bosonization is not uniquely det…
Dirac: a command-line -matrix calculator
Sergii Kutnii
A software for simplification of Dirac matrix polynomials that arise in particle physics problems is implemented.
Soap bubble hadronic states in a QCD-motivated Nambu-Jona-Lasinio model
Sergii Kutnii
Inhomogeneous solutions of the gap equation in the mean field approach to Nambu-Jona-Lasinio model are studied. An approximate Ginzburg-Landau-like gap equation is obtained and the…
Domain Wall in Nambu-Jona-Lasinio Model
Sergii Kutnii
The approximation for the NJL gap equation that was developed in our previous paper allows us to investigate vacuum inhomogeneities in the mean field approach. The simplest case of…
Inhomogeneous Vacuum States in Nambu-Jona-Lasinio Model
Sergii Kutnii
The mean field approach to the Nambu-Jona-Lasinio model is developed systematically. Approximate mean field action is obtained, based on the study of divergencies in the mean field…
Four-Fermion Interaction in the Low-Energy Approximation of Quantum Chromodynamics
S. V. Kutnii, P. I. Golod
A model with the four-fermion interaction is derived using the self-consistent field method in the low-energy limit of quantum chromodynamics. The resulting Lagrangian contains not…