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The properties of the two-flavored Gross-Neveu model in the (1+1)-dimensional spacetime are investigated in the presence of the isospin $\mu_I$ as well as quark number $\mu$ chemical potentials both at zero and nonzero temperatures. The…

High Energy Physics - Phenomenology · Physics 2013-05-29 D. Ebert , K. G. Klimenko

The properties of the two-flavored Gross-Neveu model with nonzero current quark mass are investigated in the (1+1)-dimensional spacetime at finite isospin $\mu_I$ as well as quark number $\mu$ chemical potentials and zero temperature. The…

High Energy Physics - Phenomenology · Physics 2010-05-07 D. Ebert , K. G. Klimenko

The properties of two-flavored massless Nambu-Jona-Lasinio model in (1+1)-dimensional $R^1\times S^1$ spacetime with compactified space coordinate are investigated in the presence of isospin and quark number chemical potentials $\mu_I$,…

High Energy Physics - Phenomenology · Physics 2015-05-28 D. Ebert , T. G. Khunjua , K. G. Klimenko , V. Ch. Zhukovsky

The three-dimensional Gross-Neveu model in $R^{1} \times S^{2}$ spacetime is considered at finite particles number density. We evaluate an effective potential of the composite scalar field $\sigma(x)$, which is expressed in terms of a…

High Energy Physics - Theory · Physics 2008-11-26 Dae Kwan Kim , K. G. Klimenko

The properties of two-flavored massive Nambu--Jona-Lasinio model in (1+1)-dimensional spacetime are investigated in the presence of isospin and quark number chemical potentials. The consideration is performed in the large-$N_c$ limit, where…

High Energy Physics - Phenomenology · Physics 2013-05-30 N. V. Gubina , K. G. Klimenko , S. G. Kurbanov , V. Ch. Zhukovsky

We continue previous investigations of the (inhomogeneous) phase structure of the Gross-Neveu model in a noninteger number of spatial dimensions ($1 \leq d < 3$) in the limit of an infinite number of fermion species ($N \to \infty$) at…

High Energy Physics - Phenomenology · Physics 2024-06-21 Adrian Koenigstein , Laurin Pannullo

We explore the thermodynamics of the 1+1-dimensional Gross-Neveu (GN) model at finite number of fermion flavors $N_f$, finite temperature and finite chemical potential using lattice field theory. In the limit $N_f \rightarrow \infty$ the…

High Energy Physics - Lattice · Physics 2020-12-02 Julian Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

We study the $\mu$-$\mu_{45}$-$T$ phase diagram of the $2+1$-dimensional Gross-Neveu model, where $\mu$ denotes the ordinary chemical potential, $\mu_{45}$ the chiral chemical potential and $T$ the temperature. We use the mean-field…

High Energy Physics - Lattice · Physics 2022-02-11 Laurin Pannullo , Marc Wagner , Marc Winstel

In this paper we investigate the phase structure of a (1+1)-dimensional schematic quark model with four-quark interaction and in the presence of baryon ($\mu_B$), isospin ($\mu_I$) and chiral isospin ($\mu_{I5}$) chemical potentials. It is…

High Energy Physics - Phenomenology · Physics 2017-01-04 D. Ebert , T. G. Khunjua , K. G. Klimenko

Introduction of a nonzero isospin chemical potential in QCD leads to the emergence of a pion condensed phase at sufficiently large $\mu_I$, bounded by a second order transition line. At zero temperature the pion condensate appears at $\mu_I…

High Energy Physics - Lattice · Physics 2025-12-08 Bastian B. Brandt , Volodymyr Chelnokov , Francesca Cuteri , Gergely Endrődi

We summarize main points of our recent work where we studied the pion condensation for non-zero isospin chemical potential within a holographic QCD model. We confirmed that the second order phase transition with the mean field exponent…

High Energy Physics - Phenomenology · Physics 2014-04-14 Hiroki Nishihara , Masayasu Harada

In this paper, we study the possibility of an inhomogeneous quark condensate in the 1+1 dimensional Nambu-Jona-Lasinio model in the large-$N_c$ limit at finite temperature $T$ and quark chemical potential $\mu$ using dimensional…

High Energy Physics - Theory · Physics 2017-06-06 Prabal Adhikari , Jens O. Andersen

We study the (2+1)-dimensional Gross-Neveu model at non-zero chemical potential and subjected to a homogeneous background magnetic field. We do so both analytically, in the limit of an infinite number of fermion flavors in which mean-field…

High Energy Physics - Lattice · Physics 2023-10-23 Michael Mandl , Julian J. Lenz

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 ($\mu_B$), isospin ($\mu_I$) and chiral isospin ($\mu_{I5}$) chemical potentials. Spatially…

High Energy Physics - Phenomenology · Physics 2017-06-07 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov , V. C. Zhukovsky

We study the crystalline phase of the $O(2N)$ Gross--Neveu model with a chemical potential for $a \leq N-2$ of the fermions. We analyze the problem in three independent ways: using perturbative QFT methods, a semiclassical large $N$…

High Energy Physics - Theory · Physics 2026-05-08 Francesco Benini , Ohad Mamroud , Tomas Reis , Marco Serone

In a recent work we studied the phase structure of the Gross-Neveu (GN) model in $1+1$ dimensions at finite number of fermion flavors $N_\mathrm{f} = 2, 8, 16$, finite temperature and finite chemical potential using lattice field theory.…

High Energy Physics - Lattice · Physics 2020-12-04 Julian J. Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

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 ($\mu_B$), isospin ($\mu_I$) and chiral isospin ($\mu_{I5}$) chemical potentials.…

High Energy Physics - Phenomenology · Physics 2018-08-16 T. G. Khunjua , V. C. Zhukovsky , K. G. Klimenko , R. N. Zhokhov

In this paper we investigate the phase structure of a (1+1) and (3+1)-dimensional quark model with four-quark interaction and in the presence of baryon ($\mu_B$), isospin ($\mu_I$) and chiral isospin ($\mu_{I5}$) chemical potentials. It is…

High Energy Physics - Phenomenology · Physics 2018-12-06 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov-Larionov

In this paper the phase structure of dense quark matter has been investigated in the presence of baryon, isospin and chiral isospin chemical potentials in the framework of (3+1)-dimensional Nambu--Jona-Lasinio model with two quark flavors.…

High Energy Physics - Phenomenology · Physics 2018-04-04 T. G. Khunjua , K. G. Klimenko , R. N. Zhokhov

We analyze the features of strongly interacting matter in the presence of nonzero isospin chemical potential $\mu_I$, within a nonlocal two-flavor Polyakov-Nambu-Jona-Lasinio (PNJL) model. For a system at finite temperature $T$, we describe…

High Energy Physics - Phenomenology · Physics 2021-10-27 J. P. Carlomagno , D. Gomez Dumm , N. N. Scoccola
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