Some aspects of color superconductivity: an introduction

Qun Wang

RECORD

Some aspects of color superconductivity: an introduction

Qun Wang

Nuclear Theory · Submitted 13 Dec 2009

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

The authors' main claim We also illustrate how a spin-1 color superconducting phase generates an anisotropic neutrino emissions in compact stars.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

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, 4,812 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.02 · states limitation 0.28 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

A pedagogical introduction to color superconductivity in the weak coupling limit is given. The focus is on the basic tools of thermal field theory necessary to compute observables of color superconductivity. The rich symmetry structure and symmetry breaking patterns are analyzed on the basis of the Anderson-Higgs mechanism. Some techniques can also be applied for computing neutrino processes in compact stars. As an example, we show how to obtain the neutrino emissivity for Urca processes in neutron stars by computing the polarization tensor of the W-boson. We also illustrate how a spin-1 color superconducting phase generates an anisotropic neutrino emissions in compact stars.

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	A pedagogical introduction to color superconductivity in the weak coupling limit is given.	contribution 0.96	0.77	0.06	asserted 0.99
s1	The focus is on the basic tools of thermal field theory necessary to compute observables of color superconductivity.	method 0.55	0.43	0.06	asserted 0.98
s2	The rich symmetry structure and symmetry breaking patterns are analyzed on the basis of the Anderson-Higgs mechanism.	contribution 0.68	0.74	0.10	asserted 1.00
s3	Some techniques can also be applied for computing neutrino processes in compact stars.	contribution 0.68	0.27	0.06	hedged possibility 0.92
s4	As an example, we show how to obtain the neutrino emissivity for Urca processes in neutron stars by computing the polarization tensor of the W-boson.	contribution 0.47	0.90	0.08	asserted 1.00
s5	We also illustrate how a spin-1 color superconducting phase generates an anisotropic neutrino emissions in compact stars.	result 0.53	0.79	0.11	asserted 1.00

What kind of paper the classifier reports this is: review 0.83 · evidence from proof or derivation 0.96.

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

A pedagogical introduction to color superconductivity in the weak coupling limit is given. The focus is on the basic tools of thermal field theory necessary to compute observables of color superconductivity. The rich symmetry structure and symmetry breaking patterns are analyzed on the basis of the Anderson-Higgs mechanism. Some techniques can also be applied for computing neutrino processes in compact stars. As an example, we show how to obtain the neutrino emissivity for Urca processes in neutron stars by computing the polarization tensor of the W-boson. We also illustrate how a spin-1 color superconducting phase generates an anisotropic neutrino emissions in compact stars.

Human review

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

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 · 3 sentences without a confident label

Cites it as background 9 papers

Because of our assumption of filled Fermi spheres and attractive interaction among quarks in dominant color antisymmetric states, the pairing of quarks - known as color superconductivity - needs to be taken into account [ref] .

Thermal evolution of massive compact objects with dense quark cores · Introduction · 0.86
At extremely high baryonic densities and low temperatures quarks form Cooper pairs in the attractive color-antitriplet channel, leading to the phenomenon of color superconductivity [ref] [for recent reviews, see e.g. Refs. [ref] ].

Baryon formation and dissociation in dense hadronic and quark matter · Introduction · 0.96
A robust feature of cold quark matter is its color superconductivity [ref] .

Two solar-mass compact stars: structure, composition, and cooling · Introduction · 0.91

What it cites · 130 sentences without a confident label

Builds on 7 papers

The recent work by Schafer and Schwenzer [ref] extends Iwamoto's work by taking into account of the non-Fermi liquid behaviors [ref] .

Non-Fermi-Liquid Specific Heat of Normal Degenerate Quark Matter · Phenomenological implication: neutrino processes in compact stars · 0.93
The recent work by Schafer and Schwenzer [ref] extends Iwamoto's work by taking into account of the non-Fermi liquid behaviors [ref] .

How the quark self-energy affects the color-superconducting gap · Phenomenological implication: neutrino processes in compact stars · 0.93
The recent work by Schafer and Schwenzer [ref] extends Iwamoto's work by taking into account of the non-Fermi liquid behaviors [ref] .

Neutrino Emission from Ungapped Quark Matter · Phenomenological implication: neutrino processes in compact stars · 0.93

Uses the method or tool of 21 papers

By inserting the concrete forms of the diquark condensates into Eq. ([ref]) and ([ref]) one can have the Ginzburg-Landau free energy from which one can study a variety of problems [ref] .

The Ginzburg-Landau Free Energy Functional of Color Superconductivity at Weak Coupling · Ginzburg-Landau theory for CSC · 0.87
By inserting the concrete forms of the diquark condensates into Eq. ([ref]) and ([ref]) one can have the Ginzburg-Landau free energy from which one can study a variety of problems [ref] .

The Ginzburg-Landau Theory and the Surface Energy of a Colour Superconductor · Ginzburg-Landau theory for CSC · 0.87
By inserting the concrete forms of the diquark condensates into Eq. ([ref]) and ([ref]) one can have the Ginzburg-Landau free energy from which one can study a variety of problems [ref] .

Diquark condensates and the magnetic field of pulsars · Ginzburg-Landau theory for CSC · 0.87

Uses data or values from 5 papers

Tab. ([ref]) also lists the critical temperatures $T_c$ for all considered phases [ref] .

The ground state in a spin-one color superconductor · Solving the gap equation · 0.88
Tab. ([ref]) also lists the critical temperatures $T_c$ for all considered phases [ref] .

Color superconductivity in weak coupling · Solving the gap equation · 0.88
Tab. ([ref]) also lists the critical temperatures $T_c$ for all considered phases [ref] .

How the quark self-energy affects the color-superconducting gap · Solving the gap equation · 0.88

Compares with 4 papers

We recover the results of Ref. [ref] .

Debye screening and Meissner effect in a two-flavor color superconductor · Debye and Meissner masses · 0.97
In the unitary limit, we have $μ/ϵ_F≃0.37$, while in nonrelativistic fermionic models $μ/ϵ_F≃0.4-0.5$ was obtained [ref] .

Quantum Monte Carlo Studies of Superfluid Fermi Gases · BCS-BEC crossover in a boson-fermion model · 0.95
In the unitary limit, we have $μ/ϵ_F≃0.37$, while in nonrelativistic fermionic models $μ/ϵ_F≃0.4-0.5$ was obtained [ref] .

Asymmetric Two-component Fermion Systems in Strong Coupling · BCS-BEC crossover in a boson-fermion model · 0.95

Cites as support 1 paper

So the spin-1 color superconductor is a type-I superconductor in the weak coupling limit [ref] .

Electromagnetic Meissner effect in spin-one color superconductors · Debye and Meissner masses · 0.98

Cites as background 19 papers

For more comprehensive analysis of symmetry breaking features of the spin-1 pairings, see [ref] .

The ground state in a spin-one color superconductor · Symmetry pattern: spin-1 phases · 0.92
For more comprehensive analysis of symmetry breaking features of the spin-1 pairings, see [ref] .

Helical ordering in the ground state of spin-one color superconductors as a consequence of parity violation · Symmetry pattern: spin-1 phases · 0.92
For more comprehensive analysis of symmetry breaking features of the spin-1 pairings, see [ref] .

Symmetry breaking patterns and collective modes of spin-one color superconductors · Symmetry pattern: spin-1 phases · 0.92

Discussion

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