On the QCD Ground State at High Density

James Hormuzdiar; Myck Schwetz; Nick Evans; Stephen D.H. Hsu

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On the QCD Ground State at High Density

Nick Evans, James Hormuzdiar, Stephen D.H. Hsu, Myck Schwetz

High Energy Physics - Phenomenology · Submitted 12 Oct 1999

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

The authors' main claim We show that, as previously anticipated, in the two flavor case the vacuum breaks SU(3) color to SU(2) and in the three flavor case the vacua with color-flavor locking (CFL) have the lowest energy.

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arXiv IDhep-ph/9910313 (version 1)

Pith IDPH3FMI35, Pith's permanent record of this paper and its review

CitationJames Hormuzdiar, Myck Schwetz, Nick Evans, Stephen D.H. Hsu. "On the QCD Ground State at High Density." arXiv:hep-ph/9910313 (1999). https://pith.science/paper/PH3FMI35

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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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,296 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.59 · 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.

We investigate the possible ground states of QCD at asymptotic densities, where the theory is expected to exhibit color superconductivity. We characterize the color-flavor structure of possible diquark condensates, and find those that are energy extrema by solving the weak-coupling Dyson-Schwinger equations, including Landau damping and the Meissner effect. We show that, as previously anticipated, in the two flavor case the vacuum breaks SU(3) color to SU(2) and in the three flavor case the vacua with color-flavor locking (CFL) have the lowest energy. We identify a number of relatively flat directions in the potential along which the pattern of gauge symmetry breaking changes and parity is violated. We discuss possible phenomenological consequences of our results.

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	We investigate the possible ground states of QCD at asymptotic densities, where the theory is expected to exhibit color superconductivity.	contribution 0.60	0.69	0.05	hedged possibility 0.92
s1	We characterize the color-flavor structure of possible diquark condensates, and find those that are energy extrema by solving the weak-coupling Dyson-Schwinger equations, including Landau damping and the Meissner effect.	method 0.88	0.97	0.07	asserted 1.00
s2	We show that, as previously anticipated, in the two flavor case the vacuum breaks SU(3) color to SU(2) and in the three flavor case the vacua with color-flavor locking (CFL) have the lowest energy.	result 1.00	0.85	0.70	asserted 1.00
s3	We identify a number of relatively flat directions in the potential along which the pattern of gauge symmetry breaking changes and parity is violated.	result 0.99	0.94	0.08	asserted 1.00
s4	We discuss possible phenomenological consequences of our results.	interpretation 0.79	0.73	0.03	unclear 0.68

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.83.

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arXiv listing abstract v1

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full text
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S sections
T body sentences
C citations
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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

We investigate the possible ground states of QCD at asymptotic densities, where the theory is expected to exhibit color superconductivity. We characterize the color-flavor structure of possible diquark condensates, and find those that are energy extrema by solving the weak-coupling Dyson-Schwinger equations, including Landau damping and the Meissner effect. We show that, as previously anticipated, in the two flavor case the vacuum breaks SU(3) color to SU(2) and in the three flavor case the vacua with color-flavor locking (CFL) have the lowest energy. We identify a number of relatively flat directions in the potential along which the pattern of gauge symmetry breaking changes and parity is violated. We discuss possible phenomenological consequences of our results.

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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

Thermodynamics of two-flavor isospin-asymmetric superfluid quark matter at next-to-leading order
hep-ph 2026-10 accept novelty 6.0 of 10

The pressure and speed of sound in high-isospin superfluid quark matter receive significant next-to-leading order gap corrections that bring perturbative QCD into agreement with lattice QCD.
Meson current in the CFL phase
hep-ph 2006-03 conditional novelty 5.0 of 10

Near the gapless onset in the CFL phase, a Goldstone boson current phase with real Meissner masses is energetically favored in the authors' effective model.
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.
Crystalline color superconductors
hep-ph 2013-02 accept novelty 3.0 of 10

Crystalline color superconducting quark matter can be energetically favored over homogeneous phases in compact-star cores and is chromomagnetically stable, with a shear modulus 20 to 1000 times that of the neutron-star crust.
The CFL phase and m_s: An effective field theory approach
nucl-th 2006-02 unverdicted novelty 2.0 of 10

Increasing the strange quark mass drives color-flavor-locked quark matter through a kaon condensate into a gapless supercurrent phase, according to effective field theory.

How the literature uses it

12 arXiv papers cite this in 19 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 · 13 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

At asymptotic densities (or equivalently, at asymptotic baryon chemical potential $μ$) and low temperatures the ground state of three flavor quark matter is the color-flavor-locked state (CFL) [ref] , where the color and flavor symmetries of QCD are broken spontaneously by a di-quark vacuum expectation value proportional to the gap parameter $Δ$, but a residual group linking color and vector flavor symmetries is left.

A diagrammatic derivation of the meson effective masses in the neutral color-flavor-locked phase of Quantum Chromodynamics · Introduction · 0.95
From these studies [ref] we know that the ground state of three-flavor matter at asymptotically high density is the Color-Flavor Locked (CFL) phase [ref] , where quarks of all colors and flavors are paired in a homogeneous scalar ($J^P = 0^+$) diquark condensate.

NJL model of homogeneous neutral quark matter: Pseudoscalar diquark condensates revisited · Introduction · 0.95
Various results have been obtained starting from the QCD action, employing renormalization group techniques and through the Schwinger-Dyson equation [ref] .

Crystalline color superconductors · Introduction · 0.82

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