Dense QCD : Overhauser or BCS Pairing ?

Andreas Wirzba; Byung-Yoon Park; Ismail Zahed; Mannque Rho

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Dense QCD : Overhauser or BCS Pairing ?

Byung-Yoon Park, Mannque Rho, Andreas Wirzba, Ismail Zahed

High Energy Physics - Phenomenology · Submitted 14 Oct 1999

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

The authors' main claim For a small number of colors, the BCS effect overtakes the Overhauser effect, while for a large number of colors the opposite takes place, in agreement with a recent renormalization group argument.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,945 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.52 · human participants 0.01 · controlled comparison 0.15 · randomized assignment 0.01 · states quantitative result 0.13 · compares with prior results 0.84 · 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 discuss the Overhauser effect (particle-hole pairing) versus the BCS effect (particle-particle or hole-hole pairing) in QCD at large quark density. In weak coupling and to leading logarithm accuracy, the pairing energies can be estimated exactly. For a small number of colors, the BCS effect overtakes the Overhauser effect, while for a large number of colors the opposite takes place, in agreement with a recent renormalization group argument. In strong coupling with large pairing energies, the Overhauser effect may be dominant for any number of colors, suggesting that QCD may crystallize into an insulator at a few times nuclear matter density, a situation reminiscent of dense Skyrmions. The Overhauser effect is dominant in QCD in 1+1 dimensions, although susceptible to quantum effects. It is sensitive to temperature in all dimensions.

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 discuss the Overhauser effect (particle-hole pairing) versus the BCS effect (particle-particle or hole-hole pairing) in QCD at large quark density.	contribution 0.68	0.54	0.07	unclear 0.85
s1	In weak coupling and to leading logarithm accuracy, the pairing energies can be estimated exactly.	method 0.84	0.51	0.03	asserted 0.96
s2	For a small number of colors, the BCS effect overtakes the Overhauser effect, while for a large number of colors the opposite takes place, in agreement with a recent renormalization group argument.	result 1.00	0.64	0.43	asserted 0.99
s3	In strong coupling with large pairing energies, the Overhauser effect may be dominant for any number of colors, suggesting that QCD may crystallize into an insulator at a few times nuclear matter density, a situation reminiscent of dense Skyrmions.	result 0.53	0.49	0.29	hedged possibility 1.00
s4	The Overhauser effect is dominant in QCD in 1+1 dimensions, although susceptible to quantum effects.	result 0.98	0.45	0.06	asserted 1.00
s5	It is sensitive to temperature in all dimensions.	result 0.97	0.38	0.04	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.97 · evidence from proof or derivation 0.74.

What was examined, and what was not

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arXiv listing abstract v1

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full text
figures and tables
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relations to other papers

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P abstract

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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

We discuss the Overhauser effect (particle-hole pairing) versus the BCS effect (particle-particle or hole-hole pairing) in QCD at large quark density. In weak coupling and to leading logarithm accuracy, the pairing energies can be estimated exactly. For a small number of colors, the BCS effect overtakes the Overhauser effect, while for a large number of colors the opposite takes place, in agreement with a recent renormalization group argument. In strong coupling with large pairing energies, the Overhauser effect may be dominant for any number of colors, suggesting that QCD may crystallize into an insulator at a few times nuclear matter density, a situation reminiscent of dense Skyrmions. The Overhauser effect is dominant in QCD in 1+1 dimensions, although susceptible to quantum effects. It is sensitive to temperature in all dimensions.

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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

Interweaving Chiral Spirals
hep-ph 2011-07 conditional novelty 6.0 of 10

Balancing condensation energy against Fermi-surface deformation and patch-boundary interference gives an optimal wedge angle scaling as (Lambda_QCD/p_F)^(3/5), so the number of interweaving chiral spirals grows with density.
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.
Interplay between inhomogeneous chiral and crystalline color-superconducting phases in the two-flavor NJL model
hep-ph 2026-06 unverdicted novelty 4.0 of 10

In the two-flavor NJL model the wave vectors of the inhomogeneous chiral condensate and the single-plane-wave LOFF diquark condensate are never simultaneously nonzero, so the phases do not coexist.
The phase diagram of nuclear and quark matter at high baryon density
hep-ph 2013-01 conditional novelty 3.0 of 10

The review argues that a third regime, quarkyonic matter, sits between confined nuclear matter and deconfined quark matter in large-Nc QCD, with pressure scaling as O(Nc).
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

15 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 · 12 sentences without a confident label

Uses its method or tool 1 paper

We solve Equation ([ref]), following References [ref] .

Sakai-Sugimoto Brane System at High Density · Solving Gap Equation · 1.00

Cites it as background 5 papers

In contrast, at large $N_c$, at high density ( $1≪μ/Λ_QCD ∼N_c^0$ ) there is another instability, first noted by Deryagin, Grigoriev, and Rubakov (DGR), toward the formation of a chiral density wave, i.e., a $⟨q̅(x) q(y)⟩$ condensate [ref] .

Color Superconductivity at Large N: A New Hope · Introduction · 0.84
These are characterized by a spatially varying order parameter and have been discussed for QCD at least in the large $N$ limit, where they are expected to form the ground state at sufficiently high densities [ref] .

Inhomogeneous phases near the chiral critical point in NJL-type models · Introduction and summary · 0.88
Subsequent studies investigated whether inhomogeneous quark condensation can compete with the color-superconducting phase [ref] .

Functional Renormalization Group analysis of the quark-condensation pattern on the Fermi surface: A simple effective-model approach · Introduction · 0.94

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