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Bulk viscosity coefficients due to phonons and kaons in superfluid color-flavor locked quark matter
High Energy Physics - Phenomenology · Submitted 29 Apr 2011
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In a temperature regime that might be of astrophysical relevance, we find that the contributions of both the phonons and kaons should be considered, and that $\zeta_2$ is much less that the same coefficient in unpaired quark matter
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We evaluate the three bulk viscosity coefficients $\zeta_1, \zeta_2$ and $\zeta_3$ in the color-flavor locked (CFL) superfluid phase due to phonons and kaons, which are the lightest modes in that system. We first show that the computation is rather analogous to the computation of the same coefficients in superfluid $^4$He, as due to phonons and rotons. For astrophysical applications, we also find the value of the viscosities when there is a periodic disturbance, and the viscosities also depend on the frequency of the disturbance. In a temperature regime that might be of astrophysical relevance, we find that the contributions of both the phonons and kaons should be considered, and that $\zeta_2$ is much less that the same coefficient in unpaired quark matter
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We evaluate the three bulk viscosity coefficients $\zeta_1, \zeta_2$ and $\zeta_3$ in the color-flavor locked (CFL) superfluid phase due to phonons and kaons, which are the lightest modes in that system. | contribution 1.00 | 0.96 | 0.21 | asserted 1.00 |
| s1 | We first show that the computation is rather analogous to the computation of the same coefficients in superfluid $^4$He, as due to phonons and rotons. | method 0.39 | 0.75 | 0.06 | asserted 1.00 |
| s2 | For astrophysical applications, we also find the value of the viscosities when there is a periodic disturbance, and the viscosities also depend on the frequency of the disturbance. | result 0.87 | 0.95 | 0.09 | asserted 1.00 |
| s3 | In a temperature regime that might be of astrophysical relevance, we find that the contributions of both the phonons and kaons should be considered, and that $\zeta_2$ is much less that the same coefficient in unpaired quark matter | result 0.98 | 0.96 | 0.45 | asserted 0.72 |
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The paper
Original abstract
We evaluate the three bulk viscosity coefficients $\zeta_1, \zeta_2$ and $\zeta_3$ in the color-flavor locked (CFL) superfluid phase due to phonons and kaons, which are the lightest modes in that system. We first show that the computation is rather analogous to the computation of the same coefficients in superfluid $^4$He, as due to phonons and rotons. For astrophysical applications, we also find the value of the viscosities when there is a periodic disturbance, and the viscosities also depend on the frequency of the disturbance. In a temperature regime that might be of astrophysical relevance, we find that the contributions of both the phonons and kaons should be considered, and that $\zeta_2$ is much less that the same coefficient in unpaired quark matter
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How the literature uses it
2 arXiv papers cite this in 2 sentences
What it cites · 29 sentences without a confident label
Uses the method or tool of 2 papers
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In this paper we will follow the approach derived by Son [ref] .
Hydrodynamics of relativisic systems with broken continuous symmetries · Bulk viscosity coefficients in a relativistic superfluid · 1.00
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Furthermore, as in Ref. [ref] we will compute the viscosities assuming that the temperature is constant.
Bulk viscosity due to kaons in color-flavor-locked quark matter · Analytical results · 0.95
Uses data or values from 3 papers
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The decay rate associated to this process has been computed in Ref. [ref] , where it has been shown that in a good range of temperatures it can be approximated by [equation] where the low energy effective field theory coupling constants read [equation] where $G_F$ is the Fermi constant and [equation] is the momentum where the virtual phonon that mediates the reaction is nearly on-shell.
Bulk viscosity due to kaons in color-flavor-locked quark matter · Particle number changing processes to restore equilibrium after a compression or rarefaction · 0.93
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The neutral kaon mass $m_K^0$ was computed in the limit of asymptotic high density [ref] .
High Density Quark Matter under Stress · Particle number changing processes to restore equilibrium after a compression or rarefaction · 0.95
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The neutral kaon mass $m_K^0$ was computed in the limit of asymptotic high density [ref] .
Inverse meson mass ordering in color-flavor-locking phase of high density QCD · Particle number changing processes to restore equilibrium after a compression or rarefaction · 0.95
Compares with 2 papers
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For purposes of comparison with the results of a non-periodic case presented in the previous Section, and the results obtained in Ref. [ref] , we will first find the viscosities neglecting the variation of the phonon number, that is, we will assume momentarily that $δn_ph = δμ_ph =0$.
Bulk viscosity due to kaons in color-flavor-locked quark matter · Analytical results · 0.98
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In this regard, our computation here differs from that carried out for the phonons in Ref. [ref] , where such an assumption was not considered.
Bulk viscosities of a cold relativistic superfluid: color-flavor locked quark matter · Analytical results · 0.89
Cites as background 20 papers
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In this Section we review the most relevant reaction rates of particle number changing processes that involve the CFL light degrees of freedom, and which are relevant for the computation of the bulk viscosity coefficients [ref] .
Bulk viscosity due to kaons in color-flavor-locked quark matter · Particle number changing processes to restore equilibrium after a compression or rarefaction · 0.89
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In this Section we review the most relevant reaction rates of particle number changing processes that involve the CFL light degrees of freedom, and which are relevant for the computation of the bulk viscosity coefficients [ref] .
Bulk viscosities of a cold relativistic superfluid: color-flavor locked quark matter · Particle number changing processes to restore equilibrium after a compression or rarefaction · 0.89
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In the literature one can find computations of the shear viscosity [ref] , bulk viscosities [ref] , thermal conductivity [ref] , mutual friction [ref] , as well as a general discussion on the kinetics of a CFL superfluid [ref] .
Transport theory for cold relativistic superfluids from an analogue model of gravity · Introduction · 0.97
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