Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?

M. Buballa; M. Frank; M. Oertel

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Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?

M. Frank, M. Buballa, M. Oertel

High Energy Physics - Phenomenology · Submitted 13 Mar 2003

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We find that already for rather moderate values of the coupling strength in the flavor-mixing channel the recent findings of two seperate phase transitions do not persist.

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arXiv IDhep-ph/0303109 (version 1)

Pith ID4HLHCJMP, Pith's permanent record of this paper and its review

CitationM. Buballa, M. Frank, M. Oertel. "Flavor-Mixing Effects on the QCD Phase Diagram at non-vanishing Isospin Chemical Potential: One or Two Phase Transitions?." arXiv:hep-ph/0303109 (2003). https://pith.science/paper/4HLHCJMP

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.19 · human participants 0.01 · controlled comparison 0.20 · randomized assignment 0.01 · states quantitative result 0.07 · compares with prior results 0.89 · mentions code or data availability 0.01.

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We investigate effects of a fixed nonzero isospin chemical potential on the mu_B-T phase diagram of strongly interacting matter using a Nambu--Jona-Lasinio-type four fermion interaction. We focus on the influence of a flavor-mixing interaction induced by instantons. We find that already for rather moderate values of the coupling strength in the flavor-mixing channel the recent findings of two seperate phase transitions do not persist.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We investigate effects of a fixed nonzero isospin chemical potential on the mu_B-T phase diagram of strongly interacting matter using a Nambu--Jona-Lasinio-type four fermion interaction.	contribution 0.79	0.91	0.03	asserted 0.75
s1	We focus on the influence of a flavor-mixing interaction induced by instantons.	contribution 0.91	0.41	0.03	unclear 0.51
s2	We find that already for rather moderate values of the coupling strength in the flavor-mixing channel the recent findings of two seperate phase transitions do not persist.	result 1.00	0.95	0.90	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.80 · evidence from simulation or computation 0.83.

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The paper

Original abstract

We investigate effects of a fixed nonzero isospin chemical potential on the mu_B-T phase diagram of strongly interacting matter using a Nambu--Jona-Lasinio-type four fermion interaction. We focus on the influence of a flavor-mixing interaction induced by instantons. We find that already for rather moderate values of the coupling strength in the flavor-mixing channel the recent findings of two seperate phase transitions do not persist.

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References

Forward citations

Cited by 5 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Renormalization group invariant mean-field model for QCD at finite isospin density
hep-ph 2025-02 conditional novelty 6.0 of 10

A renormalization-group invariant mean-field quark-meson model with one fitted scale reproduces lattice QCD thermodynamics at finite isospin density and predicts a multicritical chiral/pion-condensation point in the c...
Studying explicit $U(1)_A$ symmetry breaking in hot and magnetised two flavour non-local NJL model constrained using lattice results
hep-ph 2020-09 conditional novelty 5.0 of 10

Fitting a single U(1)_A breaking coupling c to lattice condensate differences at zero temperature describes the chiral crossover and topological susceptibility in a magnetized non-local NJL model.
CP violation in cold dense quark matter and axion effects on the non-radial oscillations of neutron stars
hep-ph 2024-11 reject novelty 4.0 of 10

Using a 3-flavor NJL model with axions, the authors find that a CP-violating angle theta=pi reduces the chiral transition density and, with a vector repulsion, yields stable hybrid neutron stars with enhanced f-mode o...
Thermodynamics of QCD-inspired theories
hep-ph 2006-04 conditional novelty 4.0 of 10

A PhD thesis calculating the 1/N-corrected effective potential and pressure of QCD-inspired sigma and NJL models, finding that temperature-dependent divergences vanish at the minimum and that pseudoscalar condensation...
Inhomogeneous chiral condensates
hep-ph 2014-06 accept novelty 1.0 of 10

Spatially modulated chiral condensates are a robust prediction of mean-field chiral models in the density window where the homogeneous chiral transition is first order, but their survival beyond mean field remains untested.

How the literature uses it

17 arXiv papers cite this in 39 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 23 sentences without a confident label

Uses its method or tool 2 papers

We follow the prescription of Ref. [ref] where they have considered a general NJL Lagrangian with arbitrary interaction strengths for $U(1)_A$ symmetric and breaking interactions, [equation] where the kinetic term is [equation] and the interactions are given by, [equation] with $L_1$ being symmetric under $U(1)_A$ but $L_2$ is not. $τ⃗$ represents Pauli matrices.

Studying explicit $U(1)_A$ symmetry breaking in hot and magnetised two flavour non-local NJL model constrained using lattice results · Formalism · 0.92
For later convenience, following [ref] we parameterize the two coupling $G_1$ and $G_2$ in terms of a common $G$ and a parameter $α$ as [equation] so that $α=0$ describes the limit of decoupled quarks, while for $α=0.5$ we have $G_1 = G_2$ and the maximal coupling is realized.

Color-superconductivity and inhomogeneous chiral symmetry breaking in isospin-asymmetric quark matter · Model · 0.94

Uses its data or values 2 papers

Following [ref] a good choice is $m_u = m_d = m = 6 MeV$, the cutoff $Λ= 590 MeV$ and $G_0Λ^2 = 2.435$.

Magnetic-Field Induced Critical Endpoint · Effective Potential · 0.96
An alternative estimate for this parameter can be obtained from the $η- η'$ mass splitting within the 3-flavor NJL model [ref] , which leads to $α≃0.2$ [ref] .

Neutral pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model: mixing effects · Model parametrization and mean field results · 0.86

Compares with it 1 paper

This agrees well with [ref] .

Magnetic-Field Induced Critical Endpoint · Chiral Phase Structure and Isospin Breaking · 0.95

Cites it as background 8 papers

If one considers non-zero isospin chemical potential ($μ_I$ [ref] ) or/and magnetic field ($eB$ [ref] ), the independent appearance of both the $u$ and $d$ quark condensates in the $u$ and $d$ constituent masses becomes important.

Studying explicit $U(1)_A$ symmetry breaking in hot and magnetised two flavour non-local NJL model constrained using lattice results · Introduction · 0.86
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
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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