Meson current in the color-flavor-locked phase

Gerhold, A.; Schäfer, Thomas

doi:10.1103/physrevd.73.125022

Cited by 30 publications

(27 citation statements)

References 25 publications

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“…As discussed in Ref. [54], to leading order in the strong-coupling constant α s , there is a degeneracy between the "vector current" state and the "axial current" state. In the vector current state X and Y rotate in the same direction as one moves along the z direction, and in the axial current state they rotate in the opposite directions.…”

Section: Ferromagnetic Quark Mattermentioning

confidence: 88%

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Axial anomaly and magnetism of nuclear and quark matter

2008

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We consider the response of the QCD ground state at finite baryon density to a strong magnetic field B. We point out the dominant role played by the coupling of neutral Goldstone bosons, such as pi^0, to the magnetic field via the axial triangle anomaly. We show that, in vacuum, above a value of B ~ m_pi^2/e, a metastable object appears - the pi^0 domain wall. Because of the axial anomaly, the wall carries a baryon number surface density proportional to B. As a result, for B ~ 10^{19} G a stack of parallel pi^0 domain walls is energetically more favorable than nuclear matter at the same density. Similarly, at higher densities, somewhat weaker magnetic fields of order B ~ 10^{17}-10^{18} G transform the color-superconducting ground state of QCD into new phases containing stacks of axial isoscalar (eta or eta') domain walls. We also show that a quark-matter state known as ``Goldstone current state,'' in which a gradient of a Goldstone field is spontaneously generated, is ferromagnetic due to the axial anomaly. We estimate the size of the fields created by such a state in a typical neutron star to be of order 10^{14}-10^{15} G.Comment: 18 pages, v2: added a discussion of the energy cost of neutralizing the domain wall charg

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Section: Ferromagnetic Quark Mattermentioning

confidence: 88%

“…For definiteness, we shall discuss the Goldstone boson current state in the kaon-condensed CFL phase (CFLK 0 ) [53]. Most of the discussion is also relevant for the current phase in the CFL phase without kaon condensation [54] and in the 2SC phase [55].…”

Section: Ferromagnetic Quark Mattermentioning

confidence: 99%

Axial anomaly and magnetism of nuclear and quark matter

2008

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“…We have suggested that the instability is resolved by the formation of a non-zero Goldstone boson current [13,14,15]. In our previous work we analyzed the Goldstone boson current in the kaon condensed CFL phase, but we restricted the pairing ansatz to a flavor rotation of the CFL state and did not properly implement charge neutrality in the Goldstone boson current state [13,14].…”

Section: Introductionmentioning

confidence: 99%

Goldstone boson currents in a kaon condensed color-flavor locked phase

2007

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We study the stability of the kaon condensed color-flavor locked (CFL) phase of dense quark matter with regard to the formation of a non-zero Goldstone boson current. In the kaon condensed phase there is an electrically charged fermion which becomes gapless near µ s . We find that the magnetic screening masses are real in the regime µ s < µs , but some screening masses are imaginary fors . We show that there is a very weak current instability for µ s > µs and a more robust instability in a small window near µs . We show that in the Goldstone boson current phase all components of the magnetic screening mass are real. There is a range of values of µ s below 2∆ in which the magnetic gluon screening masses are imaginary but the phase is stable with respect to electrically neutral fluctuations of the gauge field.

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“…A natural alternative would be to allow for a phase separation into a mixed phase which is globally neutral but consists of charged components [33,34]. Other authors have suggested crystalline color superconductors [35][36][37], color superconductors with deformed Fermi surfaces [38], phases with constant gluon background fields [39], or the spontaneous generation of Goldstone boson currents in the CFL phase [40]. There are several other competing suggestions, although some of them might actually turn out to be equivalent.…”

Section: Discussionmentioning

confidence: 93%

Color superconductivity in dense quark matter

Buballa

2008

Progress in Particle and Nuclear Physics

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Meson current in the color-flavor-locked phase

Cited by 30 publications

References 25 publications

Axial anomaly and magnetism of nuclear and quark matter

Axial anomaly and magnetism of nuclear and quark matter

Goldstone boson currents in a kaon condensed color-flavor locked phase

Color superconductivity in dense quark matter

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