Zeeman interaction and chiral symmetry breaking by tilted magnetic field in the (2+1)-dimensional Gross--Neveu model

Abstract

Magnetic catalysis of the chiral symmetry breaking and other magnetic properties of the (2+1)-dimensional Gross--Neveu model are studied taking into account the Zeeman interaction of spin-1/2 quasi-particles (electrons) with tilted (with respect to a system plane) external magnetic field. The Zeeman interaction is proportional to magnetic moment ${\mu }_B$ of electrons. It is shown that at ${\mu }_B\ne 0$ the magnetic catalysis effect is drastically changed in comparison with the ${\mu }_B=0$ case.

Comments: 8 pages; Talk given by R.N. Zhokhov at the international conferences "Quarks-2014" (Suzdal, Russia, 2-8 June, 2014) and "New frontiers in physics" (Kolimbari, Crete, Greece, 29 July-6 Aug, 2014)