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Pion condensation in holographic QCD
High Energy Physics - Phenomenology · Submitted 20 Jul 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that the transition from the hadronic phase to the pion condensate phase is first order except in a certain limit of model parameters.
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The abstract, sentence by sentence
We study pion condensation at zero temperature in a hard-wall holographic model of hadrons with isospin chemical potential. We find that the transition from the hadronic phase to the pion condensate phase is first order except in a certain limit of model parameters. Our analysis suggests that immediately across the phase boundary the condensate acts as a stiff medium approaching the Zel'dovich limit of equal energy density and pressure.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study pion condensation at zero temperature in a hard-wall holographic model of hadrons with isospin chemical potential. | contribution 0.90 | 0.90 | 0.05 | asserted 0.81 |
| s1 | We find that the transition from the hadronic phase to the pion condensate phase is first order except in a certain limit of model parameters. | result 1.00 | 0.96 | 0.49 | asserted 1.00 |
| s2 | Our analysis suggests that immediately across the phase boundary the condensate acts as a stiff medium approaching the Zel'dovich limit of equal energy density and pressure. | interpretation 0.62 | 0.86 | 0.40 | hedged possibility 1.00 |
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The paper
Original abstract
We study pion condensation at zero temperature in a hard-wall holographic model of hadrons with isospin chemical potential. We find that the transition from the hadronic phase to the pion condensate phase is first order except in a certain limit of model parameters. Our analysis suggests that immediately across the phase boundary the condensate acts as a stiff medium approaching the Zel'dovich limit of equal energy density and pressure.
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References
How the literature uses it
14 arXiv papers cite this in 29 sentences
Papers citing it · 14 sentences without a confident label
Compares with it 2 papers
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Our results show that the phase transition is of the second order consistently with the one obtained in the $O(p^2)$ chiral Lagrangian [ref] , while it is contrary to the result in Ref. [ref] .
Enhancement of Chiral Symmetry Breaking from the Pion condensation at finite isospin chemical potential in a holographic QCD model · Introduction · 0.96
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For the Kaluza-Klein mode $π^a_s$ in the decomposition [equation] a solution to Eq. ([ref]) is expressed in terms of the Bessel functions $J_1$ and $Y_1$: [equation] Here the eigenvalues $m̃^s_a$ are the mass spectrum: [equation] and it has opposite splitting sign to the one in [ref] .
Meson effective mass in the isospin medium in hard-wall AdS/QCD model · $π$ mesons in isospin medium · 0.87
Cites it as background 7 papers
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In [ref] in the hard-wall model framework it was considered the meson mass splitting effect for the triplets of light mesons $ρ$, $π$ and $a_1$ in the dense nuclear matter due to the isospin interaction in connection with the study of the pion condensation in isospin medium, which had been carried out in [ref] .
Meson effective mass in the isospin medium in hard-wall AdS/QCD model · Introduction · 0.85
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The first case corresponds to isospin matter with two flavours [ref] .
Properties of Holographic Mesons on Dense Medium · Backgrounds for Confinement at Zero Temperature · 0.99
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On QCD matter at finite isospin chemical potential, many efforts have been made in [ref] , as well.
Pion condensation in a soft-wall AdS/QCD model · Introduction · 0.97
What it cites · 20 sentences without a confident label
Uses the method or tool of 1 paper
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We first construct an approximate solution to [ref] as an expansion in \(m_π\), as in Ref. [ref] .
QCD and a Holographic Model of Hadrons · Pion condensation with dynamical 5D gauge bosons · 0.97
Compares with 2 papers
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This is in contrast to leading order chiral perturbation theory, which predicts a second order transition [ref] , and lattice simulations which also seem to be consistent with a second order transition [ref] .
On the phase diagram of QCD at finite isospin density · Conclusions · 0.94
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This is in contrast to leading order chiral perturbation theory, which predicts a second order transition [ref] , and lattice simulations which also seem to be consistent with a second order transition [ref] .
QCD at finite isospin density · Conclusions · 0.94
Cites as background 28 papers
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The phase diagram of QCD at high density has been explored via the chiral Lagrangian [ref] , the Nambu-Jona-Lasinio model [ref] , and lattice QCD [ref] .
Kaon Condensation with Lattice QCD · Introduction · 0.97
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The phase diagram of QCD at high density has been explored via the chiral Lagrangian [ref] , the Nambu-Jona-Lasinio model [ref] , and lattice QCD [ref] .
The fate of pion condensation in quark matter: from the chiral limit to the physical pion mass · Introduction · 0.97
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The phase diagram of QCD at high density has been explored via the chiral Lagrangian [ref] , the Nambu-Jona-Lasinio model [ref] , and lattice QCD [ref] .
On the phase diagram of QCD at finite isospin density · Introduction · 0.97
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