Faculty of Physics
M.V.Lomonosov Moscow State University
Regular Article

# The phase structure of a generalized Gross–Neveu Model in (2+1)-dimensional space–time

## V.Ch. Zhukovsky$^1$, K.G. Klimenko$^2$

### Moscow University Physics Bulletin 2015. 15. N 6. P. 466

• Article
Annotation

The phase structure of a (2+1)-dimensional Gross–Neveu model with four different channels of fermion–antifermion interaction, and, correspondingly, four different coupling constants, is studied. It is shown that the model describes five different phases of the interaction of planar fermions in which either spatial parity or chiral symmetry can be broken. The existence of a phase that is characterized by simultaneous spontaneous breaking of both these symmetries that was not observed earlier in such models is demonstrated.

Approved: 2016 January 22
PACS:
10.00.00 THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
11.10.Kk Field theories in dimensions other than four
04.60.Kz Lower dimensional models; minisuperspace models
Rissian citation:
В.Ч. Жуковский, К.Г. Клименко.
Вестн. Моск. ун-та. Сер. 3. Физ. Астрон. 2015. № 6. С. 37.
Authors
V.Ch. Zhukovsky$^1$, K.G. Klimenko$^2$
$^1$Department of Physics, Moscow State University, Moscow, 119899 Russia
$^2$FGBU State Scientific Center Institute for High Energy Physics, National Research Centre Kurchatov Institute, Protvino, Moscow oblast, 142281 Russia

### Science News of the Faculty of Physics, Lomonosov Moscow State University

This new information publication, which is intended to convey to the staff, students and graduate students, faculty colleagues and partners of the main achievements of scientists and scientific information on the events in the life of university physicists.