On gap equations and color-flavor locking in cold dense QCD with three massless flavors

I. A. Shovkovy; L. C. R. Wijewardhana

RECORD

On gap equations and color-flavor locking in cold dense QCD with three massless flavors

I. A. Shovkovy, L. C. R. Wijewardhana

High Energy Physics - Phenomenology · Submitted 4 Oct 1999

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

The authors' main claim It is shown that the antitriplet-antitriplet gives the dominant contribution to the color-flavor locked order parameter, while the sextet-sextet is small but nonzero.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv IDhep-ph/9910225 (version 1)

Pith ID3BCAOS4Z, Pith's permanent record of this paper and its review

CitationI. A. Shovkovy, L. C. R. Wijewardhana. "On gap equations and color-flavor locking in cold dense QCD with three massless flavors." arXiv:hep-ph/9910225 (1999). https://pith.science/paper/3BCAOS4Z

Claim paper

The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,015 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.14 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.07 · mentions code or data availability 0.01.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

The superconductivity in cold dense QCD with three massless flavors is analyzed in the framework of the Schwinger-Dyson equation. The set of two coupled gap equations for the color antitriplet, flavor antitriplet (bar{3},bar{3}) and the color sextet, flavor sextet (6,6) order parameters is derived. It is shown that the antitriplet-antitriplet gives the dominant contribution to the color-flavor locked order parameter, while the sextet-sextet is small but nonzero.

background contribution method result interpretation main claim

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	The superconductivity in cold dense QCD with three massless flavors is analyzed in the framework of the Schwinger-Dyson equation.	method 0.59	0.83	0.05	asserted 0.97
s1	The set of two coupled gap equations for the color antitriplet, flavor antitriplet (bar{3},bar{3}) and the color sextet, flavor sextet (6,6) order parameters is derived.	contribution 0.67	0.91	0.08	asserted 1.00
s2	It is shown that the antitriplet-antitriplet gives the dominant contribution to the color-flavor locked order parameter, while the sextet-sextet is small but nonzero.	result 1.00	0.91	0.80	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

The superconductivity in cold dense QCD with three massless flavors is analyzed in the framework of the Schwinger-Dyson equation. The set of two coupled gap equations for the color antitriplet, flavor antitriplet (bar{3},bar{3}) and the color sextet, flavor sextet (6,6) order parameters is derived. It is shown that the antitriplet-antitriplet gives the dominant contribution to the color-flavor locked order parameter, while the sextet-sextet is small but nonzero.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 2 Pith papers

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

The Condensed Matter Physics of QCD
hep-ph 2000-11 accept novelty 5.0 of 10

Dense three-flavor quark matter forms a color-flavor locked superconductor whose broken symmetries, gapped spectrum, and modified electromagnetism mirror those of confined hadronic matter.
Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme
hep-ph 2026-06 unverdicted novelty 3.5 of 10

Review of MFIR and MSS schemes showing the superconducting gap stays finite at high chemical potential in magnetized cold quark matter with no zero-temperature transition to normal phase.

How the literature uses it

10 arXiv papers cite this in 12 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 · 6 sentences without a confident label

Cites it as support 1 paper

This has been confirmed by weak-coupling QCD calculations [ref] , Dyson-Schwinger calculations [ref] , and in Nambu–Jona-Lasinio models [ref] .

Quark matter in neutron stars · Color-flavor locking (CFL) · 0.98

Cites it as background 5 papers

Theoretically, some results have been already obtained on a sound basis: First, the lattice simulations of quantum chromodynamics (QCD) indicate that, for physical quark masses, the transition from the hadronic phase to the quark gluon plasma (QGP) is a smooth crossover at finite temperature and vanishing baryon chemical potential [ref] , whereas in the low temperature and very high density region, the techniques of perturbation QCD can be used and the color flavor locking (CFL) [ref] phase is proved to be the ground state of QCD [ref] .

Roles of axial anomaly on neutral quark matter with color superconducting phase · INTRODUCTION · 0.92
In this work, we compute $χ$ in superdense phases of QCD, in which the system could be in a color-superconductive phase [ref] .

Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective · Introduction · 0.92
At high densities, the color-flavor locked (CFL) phase [ref] , in which all three colors (red, green, blue) and all three flavors (up, down, strange) are paired is the energetically favored phase [ref] .

Astrophysical constraints on color-superconducting phases in compact stars within the RG-consistent NJL model · Introduction · 0.81

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.