Color-flavor locked phase of high density QCD at nonzero strange quark mass

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.

show abstract

“…Our starting point is an effective lagrangian for gapped fermions interacting with gauge fields [21,22] …”

Section: Effective Lagrangian and Dispersion Lawsmentioning

confidence: 99%

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

2007

View full text Add to dashboard Cite

show abstract

“…(This chromomagnetic instability was found earlier in the 2SC phase [98,99] that we discuss below.) This instability can be seen as an instability towards the formation of a position dependent condensate [100,101], which bear resemblance to the LOFF (Larkin, Ovcinnikov, Fulde, Ferrell) 2 Other ways by which the CFL phase can respond to the stress on pairing include the formation of K 0 condensates (CFL − K 0 ) [85][86][87][88][89] and K 0 condensates with a current (currCFL − K 0 ) [88,[90][91][92]. The bulk viscosity in the CFL − K 0 phase was calculated in Refs.…”

Section: Reviewmentioning

confidence: 99%

Shear viscosity of two-flavor inhomogenous color superconducting quark matter

Sarkar¹,

Sharma²

2017

Phys. Rev. D

View full text Add to dashboard Cite

We present the first calculation of the shear viscosity for two-flavor plane wave (FF) color superconducting quark matter. This is a member of the family of crystalline color superconducting phases of dense quark matter that may be present in the cores of neutron stars. The paired quarks in the FF phase feature gapless excitations on surfaces of crescent shaped blocking regions in momentum space and participate in transport. We calculate their contribution to the shear viscosity. We note that they also lead to dynamic screening of transverse t 1 , t 2 , t 3 gluons which are undamped in the 2SC phase. The exchange of these gluons is the most important mechanism of the scattering of the paired quarks. We find that the shear viscosity of the paired quarks is roughly a factor of 100 smaller compared to the shear viscosity of unpaired quark matter. Our results may have implications for the damping of r−modes in rapidly rotating, cold neutron stars.

show abstract

“…A recent attempt has been made to extrapolate to large strange quark mass (m s ) [34], but this approach has not dealt with additional complications in the condensate structure that allow different gap parameters for each pair of quarks.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, several analyses show a transition to a colour-flavour locked phase with gapless fermionic excitations (the gCFL phase). These include both NJL-based calculations [37,38,39,40] and effectivetheory-based calculations [34,41]. Until recently, however, the NJL calculations have excluded the possibility of kaon condensation (see however [42] which considers kaon condensation in the NJL model at low density), while the effective theories do not consider the complicated patterns in which the condensate parameters evolve at finite quark masses.…”

Section: Introductionmentioning

confidence: 99%

Kaon condensation in a Nambu–Jona-Lasinio model at high density

Forbes¹

2005

Phys. Rev. D

View full text Add to dashboard Cite

We demonstrate a fully self-consistent microscopic realization of a kaon-condensed colour-flavour locked state (CFLK 0 ) within the context of a mean-field NJL model at high density. The properties of this state are shown to be consistent with the QCD low-energy effective theory once the proper gauge neutrality conditions are satisfied, and a simple matching procedure is used to compute the pion decay constant, which agrees with the perturbative QCD result. The NJL model is used to compare the energies of the CFLK 0 state to the parity even CFL state, and to determine locations of the metal/insulator transition to a phase with gapless fermionic excitations in the presence of a non-zero hypercharge chemical potential and a non-zero strange quark mass. The transition points are compared with results derived previously via effective theories and with partially self-consistent NJL calculations. We find that the qualitative physics does not change, but that the transitions are slightly lower.

show abstract

Color-flavor locked phase of high density QCD at nonzero strange quark mass

Cited by 28 publications

References 33 publications

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

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

Shear viscosity of two-flavor inhomogenous color superconducting quark matter

Kaon condensation in a Nambu–Jona-Lasinio model at high density

Contact Info

Product

Resources

About