Magnetic Oscillations in the Nambu – Jona-Lasinio model

D. Ebert∗ and K.G. Klimenko† ∗Institut für Physik, Humboldt-Universität, D-10115 Berlin, Germany †Institute for High Energy Physics, 142284 Protvino, Moscow Region, Russia Abstract. The phase structure of a simple Nambu–Jona-Lasinio model has been investigated at non-zero values of μ and H, where H is an external magnetic field and μ is the chemical potential. On this basis magnetic oscillations effects were considered. It was shown that there are standard (periodic) van Alphen–de Haas magnetic oscillations of some thermodynamical quantities, including magnetization, pressure and particle density in the NJL system. Besides, we have found non-standard, i.e. non-periodic, magnetic oscillations, since the frequency of oscillations is a H-dependent quantity. Finally, there arises an oscillating behaviour not only for thermodynamical quantities, but also for a dynamical quantity like the quark mass.