High Energy Physics - Phenomenology · arXiv:hep-ph/0501024 v2 · submitted 5 Jan 2005
Phase Structure of Nambu-Jona-Lasinio Model at Finite Isospin Density
The paper says
“In the frame of flavor SU(2) Nambu–Jona-Lasinio model with UA(1) breaking term we found that, the structure of two chiral phase transition lines does not exist at low isospin density in real world, and the critical isospin chemical potential for pion superfluidity is exactly the pion mass in the vacuum.”
from the abstract · picked out as the main claim by a classifier
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The paper
Abstract
In the frame of flavor SU(2) Nambu–Jona-Lasinio model with UA(1) breaking term we found that, the structure of two chiral phase transition lines does not exist at low isospin density in real world, and the critical isospin chemical potential for pion superfluidity is exactly the pion mass in the vacuum.
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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 0.03 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.81 · compares with prior results 0.17 · mentions code or data availability 0.01
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 |
|---|---|---|---|---|
| In the frame of flavor SU(2) Nambu--Jona-Lasinio model with $U_A(1)$ breaking term we found that, the structure of two chiral phase transition lines does not exist at low isospin density in real world, and the critical isospin chemical potential for pion superfluidity is exactly the pion mass in the vacuum. | result 1.00 | 0.94 | 0.88 | asserted 1.00 |
What kind of paper the classifier reports this is: theoretical result 0.98 · evidence from proof or derivation 0.70
What was examined, and what was not
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- arXiv listing abstract v2
Not examined
- 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, 1,742 input tokens, $0.0001 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
- Quarkyonic picture of isospin QCD nucl-th · May 2025
- Renormalization group invariant mean-field model for QCD at finite isospin density hep-ph · Feb 2025
- Pion Superfluidity and Meson Properties at Finite Isospin Density hep-ph · Mar 2005
- Minimal superfluid vortices in chiral perturbation theory hep-ph · Jun 2026
How the literature uses it
14 arXiv papers cite this in 16 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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When the isospin chemical potential is less than the vacuum pion mass, the phase structure with two chiral phase transition lines does not happen due to $U_A(1)$ breaking of QCD.
Papers citing it · 8 sentences without a confident label
Compares with it 1 paper
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This value agrees well with the values of the ultraviolet cutoff of chiral quark models of the NJL type [ref] and is used below.
Quarkyonic picture of isospin QCD · Onset of quarkyonic matter · 0.90
Cites it as support 1 paper
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Quantum effects are known to not affect the order of the phase transition and the critical chemical potential as has been shown in two-flavor ($N_c=3$) $χ$PT [ref] , three-flavor ($N_c=3$) $χ$PT [ref] , the quark-meson (QM) model [ref] and the NJL model [ref] .
Multicomponent superfluidity in two-color QCD at finite density at next-to-leading order · Ginzburg-Landau Expansion · 0.99
Cites it as background 6 papers
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In addition to LQCD, these phases are also found using chiral perturbation theory ($χ$PT) [ref] , Hard Thermal Loop perturbation theory (HTLPt) [ref] , the Nambu-Jona-Lasinio (NJL) model [ref] and its Polyakov loop (PNJL) extended version [ref] , the quark meson model (QMM) [ref] and other low energy effective models exploiting functional RG studies [ref] .
QCD equation of state at finite isospin density from the linear sigma model with quarks: The cold case · Introduction · 0.86
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The formalism of the two-flavor NJL model at finite isospin density has been a subject of considerable scrutiny in the literature [ref] .
Describing the speed of sound peak of isospin-asymmetric cold strongly interacting matter using effective models · The NJL model at finite isospin chemical potential · 1.00
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In particular, the phase diagram and the equation of state at non-zero isospin chemical potential have been studied within a multitude of models, including the Nambu-Jona-Lasinio (NJL) model [ref] and the linear sigma or quark-meson model [ref] .
Renormalization group invariant mean-field model for QCD at finite isospin density · Introduction · 0.99
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