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Collective modes in the color flavor locked phase
High Energy Physics - Phenomenology · Submitted 22 Jan 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This study paves the way for a more reliable study of various dissipative processes in rotating compact stars with a quark matter core in the color flavor locked phase.
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The abstract, sentence by sentence
We study the low energy effective action for the collective modes of the color flavor locked phase of QCD. This phase of matter has long been known to be a superfluid because by picking a phase its order parameter breaks the quark-number $U(1)_B$ symmetry spontaneously. We consider the modes describing fluctuations in the magnitude of the condensate, namely the Higgs mode, and in the phase of the condensate, namely the Nambu-Goldstone (or Anderson-Bogoliubov) mode associated with the breaking of $U(1)_B$. By employing as microscopic theory the Nambu-Jona Lasinio model, we reproduce known results for the Lagrangian of the Nambu-Goldstone field to the leading order in the chemical potential and extend such results evaluating corrections due to the gap parameter. Moreover, we determine the interaction terms between the Higgs and the Nambu-Goldstone field. This study paves the way for a more reliable study of various dissipative processes in rotating compact stars with a quark matter core in the color flavor locked phase.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We study the low energy effective action for the collective modes of the color flavor locked phase of QCD. | contribution 0.99 | 0.93 | 0.04 | asserted 0.84 |
| s1 | This phase of matter has long been known to be a superfluid because by picking a phase its order parameter breaks the quark-number $U(1)_B$ symmetry spontaneously. | background 1.00 | 0.05 | 0.04 | asserted 1.00 |
| s2 | We consider the modes describing fluctuations in the magnitude of the condensate, namely the Higgs mode, and in the phase of the condensate, namely the Nambu-Goldstone (or Anderson-Bogoliubov) mode associated with the breaking of $U(1)_B$. | contribution 0.85 | 0.39 | 0.07 | asserted 0.96 |
| s3 | By employing as microscopic theory the Nambu-Jona Lasinio model, we reproduce known results for the Lagrangian of the Nambu-Goldstone field to the leading order in the chemical potential and extend such results evaluating corrections due to the gap parameter. | method 0.57 | 0.92 | 0.11 | asserted 1.00 |
| s4 | Moreover, we determine the interaction terms between the Higgs and the Nambu-Goldstone field. | result 0.68 | 0.96 | 0.14 | asserted 1.00 |
| s5 | This study paves the way for a more reliable study of various dissipative processes in rotating compact stars with a quark matter core in the color flavor locked phase. | future work 0.81 | 0.19 | 0.21 | hedged possibility 0.49 |
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The paper
Original abstract
We study the low energy effective action for the collective modes of the color flavor locked phase of QCD. This phase of matter has long been known to be a superfluid because by picking a phase its order parameter breaks the quark-number $U(1)_B$ symmetry spontaneously. We consider the modes describing fluctuations in the magnitude of the condensate, namely the Higgs mode, and in the phase of the condensate, namely the Nambu-Goldstone (or Anderson-Bogoliubov) mode associated with the breaking of $U(1)_B$. By employing as microscopic theory the Nambu-Jona Lasinio model, we reproduce known results for the Lagrangian of the Nambu-Goldstone field to the leading order in the chemical potential and extend such results evaluating corrections due to the gap parameter. Moreover, we determine the interaction terms between the Higgs and the Nambu-Goldstone field. This study paves the way for a more reliable study of various dissipative processes in rotating compact stars with a quark matter core in the color flavor locked phase.
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References
How the literature uses it
6 arXiv papers cite this in 7 sentences
Papers citing it · 4 sentences without a confident label
Cites it as background 3 papers
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Effective field theories associated to these degrees of freedom can be constructed from QCD [ref] .
Bulk viscosity coefficients due to phonons and kaons in superfluid color-flavor locked quark matter · Particle number changing processes to restore equilibrium after a compression or rarefaction · 0.92
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The collective modes describing fluctuations of the Cooper-pair condensate in magnitude and in phase are known as the amplitude mode (or Higgs mode) and phase mode (or Anderson-Bogoliubov mode), respectively [ref] .
BCS in the Sky: Signatures of Inflationary Fermion Condensation · Collective modes · 0.95
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Anglani, Mannarelli and Ruggieri investigate the interaction of collective modes in the CFL phase [ref] .
Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality · Quantum Chromodynamics and the Phase Diagram · 0.80
What it cites · 19 sentences without a confident label
Builds on 1 paper
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We extend the results of [ref] including the next to leading corrections proportional to the gap parameter.
Low-Energy Quantum Effective Action for Relativistic Superfluids · Introduction · 1.00
Uses the method or tool of 1 paper
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In order to do this we integrate out the fermionic degrees of freedom employing the High Density Effective Theory (HDET) [ref] .
Effective Description of QCD at Very High Densities · Introduction · 0.99
Compares with 3 papers
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As we shall show below, for vanishing values of $Δ$ we obtain the same results obtained in Ref. [ref] L_ϕ = 3/4 π^2 [(μ- ∂_0 ϕ)^2 -(∂_i ϕ)^2]^2 .
Low-Energy Quantum Effective Action for Relativistic Superfluids · The Lagrangian for the NG boson · 0.99
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Schematically the result of [ref] can be written as L_N.R.(ρ,Y) = A/2 ρ^2 + B ρ Y + C/2 Y^2 + D Y , where $A, B, C, D$ are some coefficients and $Y = ∂_0 ϕ+ (∇ϕ)^2/2m$, with $m$ the mass of the non-relativistic fermions.
Derivation of the effective action of a dilute Fermi gas in the unitary limit of the BCS-BEC crossover · Higgs field and interaction terms · 1.00
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This is rather different from what happens in the non-relativistic case [ref] , where it was shown that integrating out the Higgs mode one obtains the modification of the speed of sound first determined in [ref] .
Evolution from BCS Superconductivity to Bose Condensation: Analytic Results for the crossover in three dimensions · Higgs field and interaction terms · 1.00
Cites as background 12 papers
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At asymptotic densities, where the up, down and strange quarks can be treated on an equal footing and effects due to the strange quark mass can be neglected, quark matter is in the color flavor locked (CFL) phase [ref] .
The Condensed Matter Physics of QCD · Introduction · 0.80
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At asymptotic densities, where the up, down and strange quarks can be treated on an equal footing and effects due to the strange quark mass can be neglected, quark matter is in the color flavor locked (CFL) phase [ref] .
Color-Flavor Locking and Chiral Symmetry Breaking in High Density QCD · Introduction · 0.80
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A study of the shear viscosity and of the standard bulk viscosity coefficient due to NG bosons has been done in Refs. [ref] .
Bulk viscosity in a cold CFL superfluid · Introduction · 0.86
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