Inhomogeneous condensates in the parity doublet model

Heinz, Achim

doi:10.48550/arxiv.1301.3430

Cited by 2 publications

(4 citation statements)

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“…On the other hand, if one uses more adequate regularization schemes such as Schwinger proper-time [2,4,5] or energy-cutoff regularizations [10,20], etc., such spurious terms do not appear. 7 In the present paper the energy cutoff regularization scheme of [10] is adopted. (See also [19,20,35,36], where a similar regularization was used in searching for chiral density waves and inhomogeneous charged pion and Cooper condensates in some NJL 2 models.)…”

Section: B the Thermodynamic Potential At T =mentioning

confidence: 99%

“…A variety of spatially nonuniform (inhomogeneous) quark matter phases related to chiral symmetry breaking, color superconductivity, and charged pion condensation phenomenon etc. (see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12] and references therein) was predicted in the framework of NJL-like models at rather low values of temperature and baryon density. (A recent interesting review on current model results for inhomogeneous phases in (3+1)-dimensional systems is presented in [13].…”

Section: Introductionmentioning

confidence: 98%

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Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in theNJL2model

et al. 2014

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We investigate the possibility of spatially homogeneous and inhomogeneous chiral fermionantifermion condensation and superconducting fermion-fermion pairing in the (1+1)-dimensional model by Chodos et al. [ Phys. Rev. D 61, 045011 (2000)] generalized to continuous chiral invariance. The consideration is performed at nonzero values of temperature T , electric charge chemical potential µ and chiral charge chemical potential µ5. It is shown that at G1 < G2, where G1 and G2 are the coupling constants in the fermion-antifermion and fermion-fermion channels, the (µ, µ5)-phase structure of the model is in a one-to-one correspondence with the phase structure at G1 > G2 (called duality correspondence). Under the duality transformation the (inhomogeneous) chiral symmetry breaking (CSB) phase is mapped into the (inhomogeneous) superconducting (SC) phase and vice versa. If G1 = G2, then the phase structure of the model is self-dual. Nevertheless, the degeneracy between the CSB and SC phases is possible in this case only when there is a spatial inhomogeneity of condensates.

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Section: B the Thermodynamic Potential At T =mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in theNJL2model

et al. 2014

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“…As a result, we will divide the (n, T )-plane into several different phases. 5 Performing this procedure in the case δ = 1 (see Fig. 3), it is possible to find the (n, T )-phase diagram at δ = 1.…”

Section: B the Phase Structurementioning

confidence: 99%

“…As a result, a variety of spatially non-uniform (inhomogeneous) quark matter phases related to chiral symmetry breaking, color superconductivity, and charged pion condensation phenomenon etc. were predicted (see, e.g., [1][2][3][4][5][6][7][8][9], and references therein) at rather low values of temperature and baryon density.…”

Section: Introductionmentioning

confidence: 97%

Suppression of superconductivity by inhomogeneous chiral condensation in the NJL₂ model

Эберт

Khunjua

Klimenko

et al. 2014

Int. J. Mod. Phys. A

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We investigate the possibility of spatially inhomogeneous chiral and Cooper, or superconducting, pairing in the (1+1)-dimensional model by Chodos et al. [ Phys. Rev. D61, 045011 (2000)] generalized to continuous chiral invariance. The consideration is performed at nonzero values of temperature T and quark number chemical potential µ. In the framework of the Fulde-Ferrel inhomogeneity ansatz for chiral and Cooper condensates, we show that if G1 > G2, where G1 and G2 are the coupling constants in the quark-antiquark and diquark channels, then in the (µ, T )-phase diagram the superconducting phase is suppressed by spatially inhomogeneous chiral spiral phase with broken chiral symmetry. In contrast, in the above mentioned original Chodos et al. model, where only the opportunity for homogeneous condensates to be formed is taken into account, the superconducting phase is realized at sufficiently high values of µ at arbitrary values of G2 > 0, including the interval 0 < G2 < G1.

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Inhomogeneous condensates in the parity doublet model

Cited by 2 publications

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Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in theNJL2model

Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in theNJL2model

Suppression of superconductivity by inhomogeneous chiral condensation in the NJL₂ model

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Inhomogeneous condensates in the parity doublet model

Cited by 2 publications

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Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in theNJL2model

Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in theNJL2model

Suppression of superconductivity by inhomogeneous chiral condensation in the NJL2 model

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Suppression of superconductivity by inhomogeneous chiral condensation in the NJL₂ model