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Chromomagnetic Catalysis of Color Superconductivity in a (2+1)-dimensional NJL Model
High Energy Physics - Phenomenology · Submitted 22 Nov 2000
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In particular, it was shown that there exists a critical value $H_c$ of the external chromomagnetic field such that at $H>H_c$ a nonvanishing diquark condensate is dynamically created (the so-called chromomagnetic catalysis effect of color superconductivity).
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The abstract, sentence by sentence
The influence of a constant uniform external chromomagnetic field $H$ on the formation of color superconductivity has been investigated. The consideration was performed in the framework of a (2+1)-dimensional Nambu--Jona-Lasinio model with two different four-fermionic structures responsible for $<\bar qq>$ and diquark $<qq>$ condensates. In particular, it was shown that there exists a critical value $H_c$ of the external chromomagnetic field such that at $H>H_c$ a nonvanishing diquark condensate is dynamically created (the so-called chromomagnetic catalysis effect of color superconductivity). Moreover, external chromomagnetic fields may in some cases enhance the diquark condensate of color superconductivity.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The influence of a constant uniform external chromomagnetic field $H$ on the formation of color superconductivity has been investigated. | contribution 0.91 | 0.82 | 0.04 | asserted 0.65 |
| s1 | The consideration was performed in the framework of a (2+1)-dimensional Nambu--Jona-Lasinio model with two different four-fermionic structures responsible for $<\bar qq>$ and diquark $<qq>$ condensates. | method 1.00 | 0.69 | 0.03 | asserted 0.91 |
| s2 | In particular, it was shown that there exists a critical value $H_c$ of the external chromomagnetic field such that at $H>H_c$ a nonvanishing diquark condensate is dynamically created (the so-called chromomagnetic catalysis effect of color superconductivity). | result 1.00 | 0.90 | 0.89 | asserted 1.00 |
| s3 | Moreover, external chromomagnetic fields may in some cases enhance the diquark condensate of color superconductivity. | result 0.94 | 0.65 | 0.11 | hedged possibility 1.00 |
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The paper
Original abstract
The influence of a constant uniform external chromomagnetic field $H$ on the formation of color superconductivity has been investigated. The consideration was performed in the framework of a (2+1)-dimensional Nambu--Jona-Lasinio model with two different four-fermionic structures responsible for $<\bar qq>$ and diquark $<qq>$ condensates. In particular, it was shown that there exists a critical value $H_c$ of the external chromomagnetic field such that at $H>H_c$ a nonvanishing diquark condensate is dynamically created (the so-called chromomagnetic catalysis effect of color superconductivity). Moreover, external chromomagnetic fields may in some cases enhance the diquark condensate of color superconductivity.
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How the literature uses it
3 arXiv papers cite this in 6 sentences
Papers citing it · 3 sentences without a confident label
Uses its method or tool 1 paper
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In the mean field approximation the PNJL lagrangian reads [equation] where the in-medium quark mass $M$ and the pion field $N$ are related to $σ$ and $π$ by means of the relations [equation] The thermodynamical potential $Ω$ can be obtained by integration over the fermion fields in the partition function of the model, see for example Ref. [ref] , [equation] where the sum is over fermion Matsubara frequencies $ω_n = πT(2n+1)$, and the trace is over Dirac, flavor and color indices. $Λ$ is an ultraviolet cutoff to ensure convergence of the momentum integral.
Electrical neutrality and pion modes in the two flavor PNJL model · Formalism · 0.89
Compares with it 1 paper
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The qualitative behavior of $M_u$ is in agreement with that obtained previously for NJL in a magnetic field [ref] as well as in a chromomagnetic field [ref] with a proper time regularization.
Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model · Chromomagnetic catalysis of chiral condensation · 1.00
Cites it as support 1 paper
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The existence of a critical chromomagnetic field for deconfinement is supported by the results of Ref. [ref] : As a matter of fact, it has been shown there that for strong enough chromomagnetic fields the color superconductivity, thus a deconfined phase, occurs even at zero chemical potential.
Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model · Deconfinement and chiral transitions · 1.00
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