Gauge dependence identities for color superconducting QCD

Gerhold, A.; Rebhan, Anton

doi:10.1103/physrevd.68.011502

Cited by 66 publications

(129 citation statements)

References 36 publications

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“…In QCD, µ e , µ 3 and µ 8 are the zeroth components of electromagnetic and color gauge fields, and the gauge field dynamics ensure that they take on values such that the matter is neutral [6,47], satisfying…”

Section: A Neutral Unpaired Three-flavor Quark Mattermentioning

confidence: 99%

Crystallography of three-flavor quark matter

2006

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We analyze and compare candidate crystal structures for the crystalline color superconducting phase that may arise in cold, dense but not asymptotically dense, three-flavor quark matter. We determine the gap parameter ∆ and free energy Ω(∆) for many possible crystal structures within a Ginzburg-Landau approximation, evaluating Ω(∆) to order ∆ 6 . In contrast to the two-flavor case, we find a positive ∆ 6 term and hence an Ω(∆) that is bounded from below for all the structures that we analyze. This means that we are able to evaluate ∆ and Ω as a function of the splitting between Fermi surfaces for all the structures we consider. We find two structures with particularly robust values of ∆ and the condensation energy, within a factor of two of those for the CFL phase which is known to characterize QCD at asymptotically large densities. The robustness of these phases results in their being favored over wide ranges of density. However, it also implies that the Ginzburg-Landau approximation is not quantitatively reliable. We develop qualitative insights into what makes a crystal structure favorable, and use these to winnow the possibilities. The two structures that we find to be most favorable are both built from condensates with face-centered cubic symmetry: in one case, the ud and us condensates are separately face centered cubic; in the other case ud and us combined make up a face centered cube.

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Section: A Neutral Unpaired Three-flavor Quark Mattermentioning

confidence: 99%

Crystallography of three-flavor quark matter

2006

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“…The point is that in the QCD 2SC ground state a nonzero value of the eightth gluon field component might be generated. Effectively, it is the µ 8 -chemical potential, so color neutrality is fulfilled automatically in the QCD approach [12]. )…”

Section: Introductionmentioning

confidence: 99%

Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter

2005

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The spectrum of meson and diquark excitations of dense color neutral cold quark matter is investigated in the framework of a 2-flavored Nambu-Jona-Lasinio type model, including a quark µ-and color µ8 chemical potential. It was found out that in the color superconducting (2SC) phase, i.e. at µ > µc = 342 MeV, µ8 aquires rather small values ∼ 10 MeV in order to ensure the color neutrality. In this phase the π-and σ meson masses are evaluated around ∼ 330 MeV. The spectrum of scalar diquarks in the color neutral 2SC phase consists of a heavy (SUc(2)-singlet) resonance with mass ∼ 1100 MeV, four light diquarks with mass 3|µ8|, and one Nambu -Goldstone boson which is in accordance with the Goldstone theorem. Moreover, in the 2SC phase there are five light stable particles as well as a heavy resonance in the spectrum of pseudo-scalar diquarks. In the color symmetric phase, i.e. for µ < µc, a mass splitting of scalar diquarks and antidiquarks is shown to arise if µ = 0, contrary to the case of µ = 0, where the masses of scalar antidiquarks and diquarks are degenerate at the value ∼ 700 MeV. If the coupling strength in the pseudo-scalar diquark channel is the same as in the scalar diquark one (as for QCD-inspired NJL models), then in the color symmetric phase pseudo-scalar diquarks are not allowed to exist as stable particles.

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“…[9], Gerhold and Rebhan argued that the inequality of red and green quasi-particle excitations compared to the number of unpaired blue quarks induces non-vanishing tadpole contributions, see Eq. (25) of Ref.…”

Section: Introduction and Conclusionmentioning

confidence: 99%

“…It was argued in Ref. [9] that this tadpole contribution gives rise to an effective color-chemical potential associated with the eighth generator T 8 of SU(3) c ,…”

Section: Introduction and Conclusionmentioning

confidence: 99%

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Gluons, tadpoles, and color neutrality in a two-flavor color superconductor

Dietrich

2004

Progress in Particle and Nuclear Physics

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Considering cold, dense quark matter with two massless quark flavors, we demonstrate how, in a self-consistent calculation in the framework of QCD, the condensation of Cooper pairs induces a non-vanishing background color field. This background color field has precisely the right magnitude to cancel tadpole contributions and thus ensures overall color neutrality of the two-flavor color superconductor.

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Gauge dependence identities for color superconducting QCD

Cited by 66 publications

References 36 publications

Crystallography of three-flavor quark matter

Crystallography of three-flavor quark matter

Mesons and diquarks in the color neutral superconducting phase of dense cold quark matter

Gluons, tadpoles, and color neutrality in a two-flavor color superconductor

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