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A Comparative Study of NJL and Sakai-Sugimoto Models
High Energy Physics - Theory · Submitted 8 Sep 2009
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In the presence of the background magnetic field, while the large chemical potential triggers the de Haas-van Alphen oscillation and the boundstate destabilization effect of the magnetic field in the NJL model, the Sakai-Sugimoto model completely fails to capture these phenomena, indicating the lack of the fermi sphere in the latter model.
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The abstract, sentence by sentence
The Nambu-Jona-Lasinio and Sakai-Sugimoto models are juxtaposed, focusing on the models' dynamically generated masses and the phase diagrams. The models are studied in the parameter space of temperature, constant electromagnetic fields and the quark chemical potential. When the chemical potential is zero or small, the models show good agreement. However, the responses of the models under the large chemical potential are very different. In the presence of the background magnetic field, while the large chemical potential triggers the de Haas-van Alphen oscillation and the boundstate destabilization effect of the magnetic field in the NJL model, the Sakai-Sugimoto model completely fails to capture these phenomena, indicating the lack of the fermi sphere in the latter model. Also the orders of the chiral phase transitions are generally different.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The Nambu-Jona-Lasinio and Sakai-Sugimoto models are juxtaposed, focusing on the models' dynamically generated masses and the phase diagrams. | contribution 0.95 | 0.76 | 0.06 | asserted 0.87 |
| s1 | The models are studied in the parameter space of temperature, constant electromagnetic fields and the quark chemical potential. | method 0.77 | 0.78 | 0.03 | asserted 0.99 |
| s2 | When the chemical potential is zero or small, the models show good agreement. | result 1.00 | 0.80 | 0.08 | asserted 1.00 |
| s3 | However, the responses of the models under the large chemical potential are very different. | result 1.00 | 0.80 | 0.22 | asserted 1.00 |
| s4 | In the presence of the background magnetic field, while the large chemical potential triggers the de Haas-van Alphen oscillation and the boundstate destabilization effect of the magnetic field in the NJL model, the Sakai-Sugimoto model completely fails to capture these phenomena, indicating the lack of the fermi sphere in the latter model. | result 0.82 | 0.78 | 0.57 | asserted 0.78 |
| s5 | Also the orders of the chiral phase transitions are generally different. | result 1.00 | 0.81 | 0.13 | asserted 0.93 |
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The paper
Original abstract
The Nambu-Jona-Lasinio and Sakai-Sugimoto models are juxtaposed, focusing on the models' dynamically generated masses and the phase diagrams. The models are studied in the parameter space of temperature, constant electromagnetic fields and the quark chemical potential. When the chemical potential is zero or small, the models show good agreement. However, the responses of the models under the large chemical potential are very different. In the presence of the background magnetic field, while the large chemical potential triggers the de Haas-van Alphen oscillation and the boundstate destabilization effect of the magnetic field in the NJL model, the Sakai-Sugimoto model completely fails to capture these phenomena, indicating the lack of the fermi sphere in the latter model. Also the orders of the chiral phase transitions are generally different.
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References
How the literature uses it
1 arXiv paper cite this in 1 sentence
Papers citing it
Compares with it 1 paper
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[ref] show an amazing agreement in the chiral phase transition lines throughout the $t$-$b$-$μ$ space; in particular, both results show IMC for moderate magnetic fields.[Ref. [ref] claims that the Sakai-Sugimoto model does not agree with NJL results; but in this reference the CS contribution was ignored.] In QCD, it is expected that part of the normal chirally symmetric phase is replaced by a color superconductor [ref] .
Inverse magnetic catalysis in dense holographic matter · General results: inverse magnetic catalysis and comparison to NJL · 0.85
What it cites · 35 sentences without a confident label
Uses the method or tool of 7 papers
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We adopt the standard embedding map of the original paper [ref] .
Low energy hadron physics in holographic QCD · Probe Action and Equations of Motion · 0.97
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Thus, in addition to the components ([ref]), we include [equation] where following Reference [ref] , we assume the dependence of this component on $U$ and this function must be determined by solving the equations of motion that follow from the probe action.
Holographic chiral phase transition with chemical potential · External Parameters · 0.89
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Plugging the solution ([ref]) in the Lagrangian ([ref]), we obtain the on-shell expression [equation] Following Reference [ref] , we measure the quantities in the units of $u_0$ by introducing [ This scaling by $u_0$ is a temporary prescription and as mentioned earlier, we will measure all physical quantities in the units of $R$ at the end. ] [equation] Again, following the same reference, we further set $z=y^-3$, yielding [equation] From the relation ([ref]), we have [equation] and we can eliminate $y_R$ in favor of $$.
A holographic model of deconfinement and chiral symmetry restoration · Confined Phase · 0.92
Compares with 1 paper
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[ We remark that the sharp first order phase transitions shown here is slightly different from rather smooth transitions in Reference [ref] .
Four-fermion Interaction Model in a Constant Magnetic Field at Finite Temperature and Chemical Potential · Pure $B$ Background · 0.94
Cites as support 1 paper
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However, we have the fact that the SS model exhibits the chiral phase transition in the deconfined phase, and moreover, there are evidences from the lattice simulations that indicate the existence of the quark boundstate in QCD, significantly above the deconfinement temperature [ref] .
Meson Correlators in Finite Temperature Lattice QCD · Chiral Phase Transition and Dynamical Mass · 0.99
Cites as background 20 papers
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One of the most attractive models out of the effort is the Sakai-Sugimoto (SS) model [ref] .
Low energy hadron physics in holographic QCD · Introduction · 0.96
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The SS model under the influence of the constant background electromagnetic field has been extensively studied by the group in Haifa [ref] and by others [ref] .
External Fields and Chiral Symmetry Breaking in the Sakai-Sugimoto Model · Introduction · 0.98
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The SS model under the influence of the constant background electromagnetic field has been extensively studied by the group in Haifa [ref] and by others [ref] .
Dense and Hot Holographic QCD: Finite Baryonic E Field · Introduction · 0.98
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