High Energy Physics - Phenomenology · arXiv:hep-ph/0411001 v2 · submitted 1 Nov 2004
Kaon Condensation in a Nambu–Jona-Lasinio (NJL) Model at High Density
The paper says
“We demonstrate a fully self-consistent microscopic realization of a kaon-condensed colour-flavour locked state (CFLK0) within the context of a mean-field NJL model at high density.”
from the abstract · picked out as the main claim by a classifier
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Abstract
We demonstrate a fully self-consistent microscopic realization of a kaon-condensed colour-flavour locked state (CFLK0) within the context of a mean-field NJL model at high density. The properties of this state are shown to be consistent with the QCD low-energy effective theory once the proper gauge neutrality conditions are satisfied, and a simple matching procedure is used to compute the pion decay constant, which agrees with the perturbative QCD result. The NJL model is used to compare the energies of the CFLK0 state to the parity even CFL state, and to determine locations of the metal/insulator transition to a phase with gapless fermionic excitations in the presence of a non-zero hypercharge chemical potential and a non-zero strange quark mass. The transition points are compared with results derived previously via effective theories and with partially self-consistent NJL calculations. We find that the qualitative physics does not change, but that the transitions are slightly lower.
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abstract compiled · 2026-09-23 · no language-model review
How the main claim is stated: asserted 1.00
What the abstract itself states, as probabilities: claims first 0.08 · states limitation 0.26 · human participants 0.01 · controlled comparison 0.49 · randomized assignment 0.01 · states quantitative result 0.14 · compares with prior results 0.98 · mentions code or data availability 0.02
The abstract, sentence by sentence
This table labels the abstract only (arXiv listing abstract v2). The number is the probability the classifier gave the label.
| Sentence | Role | The authors' own work | States the main conclusion | Strength |
|---|---|---|---|---|
| We demonstrate a fully self-consistent microscopic realization of a kaon-condensed colour-flavour locked state (CFLK0) within the context of a mean-field NJL model at high density. | contribution 0.98 | 0.96 | 0.61 | asserted 1.00 |
| The properties of this state are shown to be consistent with the QCD low-energy effective theory once the proper gauge neutrality conditions are satisfied, and a simple matching procedure is used to compute the pion decay constant, which agrees with the perturbative QCD result. | result 0.90 | 0.91 | 0.15 | asserted 0.80 |
| The NJL model is used to compare the energies of the CFLK0 state to the parity even CFL state, and to determine locations of the metal/insulator transition to a phase with gapless fermionic excitations in the presence of a non-zero hypercharge chemical potential and a non-zero strange quark mass. | contribution 0.69 | 0.94 | 0.13 | asserted 0.99 |
| The transition points are compared with results derived previously via effective theories and with partially self-consistent NJL calculations. | method 0.53 | 0.66 | 0.07 | asserted 0.93 |
| We find that the qualitative physics does not change, but that the transitions are slightly lower. | result 0.97 | 0.95 | 0.31 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 0.93 · evidence from simulation or computation 0.79
What was examined, and what was not
Sources read
- arXiv listing abstract v2
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- full text
- figures and tables
- references and citing sentences
- relations to other papers
Levels run
- P abstract
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- S sections
- T body sentences
- C citations
- R cross-paper relations
How the labels were made
Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,418 input tokens, $0.0002 reported.
Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON
Cited by 4 Pith papers
Reviewed papers on Pith that cite this one. The full citation record
- The phase diagram of neutral quark matter: Self-consistent treatment of quark masses hep-ph · Mar 2005
- Thermodynamics of QCD-inspired theories hep-ph · Apr 2006
- The phase diagram of dense QCD hep-ph · May 2010
- The CFL phase and m_s: An effective field theory approach nucl-th · Feb 2006
How the literature uses it
6 arXiv papers cite this in 14 sentences
Papers citing it · 7 sentences without a confident label
Compares with it 1 paper
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We obtain the correct result [ref], that is the squared mass consistent with the effective lagrangian approach [ref] , if and only if we set $μ_8 = -M_s^2/2μ$, its value in the neutral CFL phase.
A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics · Analytical results · 0.85
Cites it as support 1 paper
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Indeed it has been shown [ref] that the requirement of color neutrality is equivalent to the removal, from the low energy effective lagrangian, of the color non-singlet fields.
A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics · Conclusions · 1.00
Cites it as background 2 papers
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The important project of writing an effective lagrangian for the flavor excitations, and thus of their effective masses, in the CFL phase of QCD is a classical topic widely covered [ref] ; it has been considered more recently in [ref] , where the effects of electrical and color neutrality and of the finite quark masses have been introduced.
A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics · Introduction · 0.93
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Besides the effective field theory approach, mesons in CFL have also been studied within Nambu-Jona-Lasinio models [ref] .
Critical temperature for kaon condensation in color-flavor locked quark matter · Introduction · 0.93
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