Oscillatory phenomena in cold matter with four-fermion interaction

Vshivtsev, A. S.; Вдовиченко, М. А.; Klimenko, K. G.

doi:10.1134/1.558650

Cited by 23 publications

(37 citation statements)

References 18 publications

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“…However, the amplitude of this oscillations is a rapidly decreasing function of λ when λ → 0. Similar oscillations of different physical quantities such as gaps, critical curves, particle densities etc vs λ were also observed in some NJL-type models with one compactified space coordinate, but in a qualitatively alternative case with nonzero baryonic chemical potential [30]. Moreover, oscillating phenomena as functions of curvature are inherent to NJL models in the Einstein universe, i.e.…”

Section: A the Case Of Periodic Boundary Conditionssupporting

confidence: 64%

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Finite size effects in the Gross-Neveu model with isospin chemical potential

et al. 2008

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The properties of the two-flavored Gross-Neveu model in the (1+1)-dimensional R 1 ×S 1 spacetime with compactified space coordinate are investigated in the presence of the isospin chemical potential µI . The consideration is performed in the limit Nc → ∞, i.e. in the case with infinite number of colored quarks. It is shown that at L = ∞ (L is the length of the circumference S 1 ) the pion condensation phase is realized for arbitrary small nonzero µI . At finite values of L, the phase portraits of the model in terms of parameters ν ∼ µI and λ ∼ 1/L are obtained both for periodic and antiperiodic boundary conditions of the quark field. It turns out that in the plane (λ, ν) there is a strip 0 ≤ λ < λc which lies as a whole inside the pion condensed phase. In this phase the pion condensation gap is an oscillating function vs both λ (at fixed ν) and ν (at fixed λ).

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Section: A the Case Of Periodic Boundary Conditionssupporting

confidence: 64%

“…We have shown also that the pion condensed gap δ is an oscillating function vs both λ (at fixed ν) and ν (at fixed λ). The same is true for other thermodynamic quantities of the model such as pressure, particle densities etc, and is inherent also to the (3+1)-dimensional NJL models with curved spacetimes [31] or spacetimes with non-trivial topology [30].…”

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confidence: 80%

Finite size effects in the Gross-Neveu model with isospin chemical potential

et al. 2008

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“…Starting from (9), one can define the thermodynamic potential (TDP) of the model in the mean-field approximation:…”

Section: The Model and Its Effective Actionmentioning

confidence: 99%

“…So, different nonperturbative methods or effective theories such as chiral effective Lagrangians and especially Nambu-Jona-Lasinio (NJL) type models [1] are usually employed for the consideration of the properties of dense and hot baryonic matter under heavy-ion experimental and/ or compact star conditions, i.e., in the presence of such external conditions as temperature and chemical potentials, magnetic field, finite size effects etc. (see, e.g., the papers [2][3][4][5][6][7][8][9] and references therein). In particular, the color superconductivity [4,5] as well as parity violation and charged pion condensation [10][11][12][13][14][15] phenomena of dense quark matter were investigated in the framework of these QCD-like effective models.…”

Section: Introductionmentioning

confidence: 99%

Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials

Эберт

Klimenko

2009

Phys. Rev. D

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The properties of the two-flavored Gross-Neveu model with nonzero current quark mass are investigated in the (1 þ 1)-dimensional space-time at finite isospin I as well as quark number chemical potentials and zero temperature. The consideration is performed in the limit N c ! 1, i.e., in the case with an infinite number of colored quarks. In the plane of parameters I , a rather rich phase structure is found, which contains phases with and without pion condensation. We have found a great variety of onequark excitations of these phases, including gapless and gapped quasiparticles. Moreover, the mesonic mass spectrum in each phase is also investigated.

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“…With this purpose, different approaches have been used to study various aspects of these effects [7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In particular, in Ref.…”

Section: Introductionmentioning

confidence: 99%

Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models

Abreu

Malbouisson

2011

Phys. Rev. D

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We investigate finite-size effects on the phase structure of chiral and difermion condensates at finite temperature and density in the framework of the two-dimensional large-N Nambu-Jona-Lasinio model. We take into account size-dependent effects by making use of zeta-function and compactification methods. The thermodynamic potential and the gap equations for the chiral and difermion condensed phases are then derived in the mean-field approximation. Size-dependent critical lines separating the different phases are obtained considering antiperiodic boundary conditions for the spatial coordinate.

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Oscillatory phenomena in cold matter with four-fermion interaction

Cited by 23 publications

References 18 publications

Finite size effects in the Gross-Neveu model with isospin chemical potential

Finite size effects in the Gross-Neveu model with isospin chemical potential

Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials

Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models

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