Chromomagnetic stability of the three flavor Larkin–Ovchinnikov–Fulde–Ferrell phase of QCD

Ciminale, M.; Nardulli, G.; Ruggieri, Marco; Gatto, R.

doi:10.1016/j.physletb.2006.03.075

Cited by 41 publications

(51 citation statements)

References 54 publications

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“…In the g2SC case with κ 33 < 0 a non-coloured (α = 0) FFLO state may be enough to cure the chromomagnetic instability [230] (see also [231] for results in opposition), but it is a subtle problem if the non-coloured FFLO can stabilize in all colour channels of gluons for 3-flavour quark matter [232]. Generally the instability analysis tells us a tendency towards the destination at best, but cannot go into the ground state.…”

Section: Implications From Chromomagnetic Instabilitymentioning

confidence: 99%

The phase diagram of dense QCD

Fukushima¹,

Hatsuda²

2010

Rep. Prog. Phys.

919

945

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Abstract. Current status of theoretical researches on the QCD phase diagram at finite temperature and baryon chemical potential is reviewed with special emphasis on the origin of various phases and their symmetry breaking patterns. Topics include; quark deconfinement, chiral symmetry restoration, order of the phase transitions, QCD critical point(s), colour superconductivity, various inhomogeneous states and implications from QCD-like theories.

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Section: Implications From Chromomagnetic Instabilitymentioning

confidence: 99%

The phase diagram of dense QCD

Fukushima¹,

Hatsuda²

2010

Rep. Prog. Phys.

919

945

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“…As in (40), in each term the flavor indices j and k (or just k) that are not summed over are understood to differ from each other and from the summed indices I (or I and J).…”

Section: The Ginzburg-landau Approximation: Derivationmentioning

confidence: 99%

“…It seems likely, therefore, that a ground state with counter-propagating currents is required. This could take the form of a crystalline color superconductor [30,31,32,33,34,35,36,37,38,39,40,41] -the QCD analogue of a form of non-BCS pairing first considered by Larkin, Ovchinnikov, Fulde and Ferrell [42]. Or, given that the CFL phase itself is likely augmented by kaon condensation [43,44], it could take the form of a phase in which a CFL kaon condensate carries a current in one direction balanced by a counter-propagating current in the opposite direction carried by gapless quark quasiparticles [45,46].…”

Section: Introductionmentioning

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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“…On the other hand the color gauge group is spontaneously broken, which gives masses to the eight gluons [34]. We therefore expect nine NGB due to spontaneous breaking of the axial group SU (3) and U (1) V .…”

Section: Goldstone Modesmentioning

confidence: 99%

“…This means that the screening masses of some of the gluons are imaginary. On the other hand, it has been shown that this instability can be cured either by the crystalline color superconductivity [33,34,35,36] or by gluon condensed phases [37], as well as condensed meson current states [38].…”

Section: Introductionmentioning

confidence: 99%

Superfluid and pseudo-Goldstone modes in three flavor crystalline color superconductivity

et al. 2007

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We study the bosonic excitations in the favorite cubic three flavor crystalline LOFF phases of QCD. We calculate in the Ginzburg-Landau approximation the masses of the eight pseudo NambuGoldstone Bosons (NGB) present in the low energy theory. We also compute the decay constants of the massless NGB Goldstones associated to superfluidity as well as those of the eight pseudo NGB. Differently from the corresponding situation in the Color-Flavor-Locking phase, we find that meson condensation phases are not expected in the present scenario.

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Chromomagnetic stability of the three flavor Larkin–Ovchinnikov–Fulde–Ferrell phase of QCD

Abstract: We compute in the Ginzburg-Landau approximation the gluon Meissner masses for the LarkinOvchinnikov-Fulde-Ferrell (LOFF) phase of QCD with three flavors in the kinematical range where it is energetically favored. We find real Meissner masses and therefore chromomagnetic stability.

Cited by 41 publications

References 54 publications

The phase diagram of dense QCD

The phase diagram of dense QCD

Crystallography of three-flavor quark matter

Superfluid and pseudo-Goldstone modes in three flavor crystalline color superconductivity

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