arXiv subjects

V. C. Zhukovsky

Publications and source records attributed to V. C. Zhukovsky.

4 recordsLinked to original sources

arXiv2018

Dulaity and charged pion condensation in chirally asymmetric dense quark matter in the framework of an NJL$_2$ model

In this talk we present investigation of the phase structure of a (1+1)-dimensional quark model with four-quark interaction and in the presence of baryon ($μ_B$), isospin ($μ_I$) and chiral isospin ($μ_{I5}$) chemical potentials. Spatially homogeneous and inhomogeneous (chiral density wave (for chiral condensate) and single wave (for charged pion condensate)) condensates are considered. It is established that in the large-$N_c$ limit ($N_c$ is the number of colored quarks) there exists a duality correspondence between the chiral symmetry breaking phase and the charged pion condensation one. The primary conclusion of this investigation is the fact that chiral isospin chemical potential generates charged pion condensation with non-zero baryon density in dense quark matter. Moreover, it is shown that inhomogeneous charged PC phase with nonzero baryon density is induced in the model by arbitrary small values of the chemical potential $μ_{I5}$ (for a rather large region of $μ_B$ and $μ_I$).

hep-ph↗

arXiv2017

Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL$_2$ model

In this paper we investigate the phase structure of a (1+1)-dimensional quark model with four-quark interaction and in the presence of baryon ($μ_B$), isospin ($μ_I$) and chiral isospin ($μ_{I5}$) chemical potentials. Spatially inhomogeneous chiral density wave (for chiral condensate) and single wave (for charged pion condensate) approaches are used. It is established that in the large-$N_c$ limit ($N_c$ is the number of colored quarks) there exists a duality correspondence between the chiral symmetry breaking phase and the charged pion condensation (PC) one. Moreover, it is shown that inhomogeneous charged PC phase with nonzero baryon density is induced in the model by arbitrary small values of the chemical potential $μ_{I5}$ (for a rather large region of $μ_B$ and $μ_I$).

hep-ph↗

arXiv2016

Competition and duality correspondence between chiral and superconducting channels in (2+1)-dimensional four-fermion models with fermion number and chiral chemical potentials

In this paper the duality correspondence between fermion-antifermion and difermion interaction channels is established in two (2+1)-dimensional Gross-Neveu type models with a fermion number chemical potential $μ$ and a chiral chemical potential $μ_5$. The role and influence of this property on the phase structure of the models are investigated. In particular, it is shown that the chemical potential $μ_5$ promotes the appearance of dynamical chiral symmetry breaking, whereas the chemical potential $μ$ contributes to the emergence of superconductivity.

hep-th↗

arXiv2015

Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate

In this paper a (2+1)-dimensional model with four-fermion interactions is investigated in the case when one spatial coordinate is compactified and the space topology takes the form of an infinite cylinder, $R^1\otimes S^1$. It is supposed that the system is embedded into real three-dimensional space and that a magnetic flux $Φ$ crosses the transverse section of the cylinder. The model includes four-fermion interactions both in the fermion-antifermion (or chiral) and fermion-fermion (or superconducting) channels. We then study phase transitions in dependence on the chemical potential $μ$ and the flux $Φ$ in the leading order of the large-$N$ expansion technique, where $N$ is the number of fermion fields. It is demonstrated that for arbitrary relations between coupling constants in the chiral and superconducting channels, superconductivity appears in the system at rather high values of $μ$ (the length $L$ of the circumference $S^1$ is fixed). Moreover, it is shown that at sufficiently small values of $μ$ the growth of the magnetic flux $Φ$ leads to a periodical reentrance of the chiral symmetry breaking or superconducting phase, depending on the values of $μ$ and coupling constants.

hep-th↗