Magnetic Oscillations in the Nambu - Jona-Lasinio model

The phase structure of a simple Nambu-Jona-Lasinio model has been investigated at non-zero values of $\mu$ and H, where H is an external magnetic field and $\mu$ 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. The possibility for magnetic oscillations of some physical quantities inside neutron stars is discussed.Comment: RevTeX, 12 pages; Talk given by K.G. Klimenko at the International Workshop on Hadron Physics, 10-15 September 1999, Coimbra, Portuga

Diquarks in the color--flavor locked phase of dense quark matter

Diquark excitations of dense quark matter are considered in the framework of the Nambu -- Jona-Lasinio model with three types of massless quarks in the presense of a quark number chemical potential $\mu$. We investigate the effective action of meson- and diquark fields at sufficiently high values of $\mu$, where the color--flavor locked (CFL) phase is realized, and prove the existence of NG-bosons in the sector of pseudoscalar diquarks. In the sector of scalar diquarks an additional NG-boson is found, corresponding to the spontaneous breaking of the U(1)$_B$ baryon symmetry in the CFL phase. Finally, the existence of massive scalar and pseudoscalar diquark excitations is demonstrated.Comment: 10 pages, 2 figures; version accepted for publication in PR

Competition of Color Ferromagnetic and Superconductive States in a Quark-Gluon System

The possibility of color ferromagnetism in an SU(2) gauge field model is investigated. The conditions allowing a stable color ferromagnetic state of the quark system in the chromomagnetic field occupying small domains are considered. A phase transition between this state and the color superconducting state is considered. The effect of finite temperature is analyzed.Comment: 21 pages, 4 Postscript figure