Collective modes in the color flavor locked phase

Abstract

We study the low energy effective action for the collective modes of the color flavor locked phase of QCD. This phase of matter has long been known to be a superfluid because by picking a phase its order parameter breaks the quark-number $U(1{)}_B$ symmetry spontaneously. We consider the modes describing fluctuations in the magnitude of the condensate, namely the Higgs mode, and in the phase of the condensate, namely the Nambu-Goldstone (or Anderson-Bogoliubov) mode associated with the breaking of $U(1{)}_B$. By employing as microscopic theory the Nambu-Jona Lasinio model, we reproduce known results for the Lagrangian of the Nambu-Goldstone field to the leading order in the chemical potential and extend such results evaluating corrections due to the gap parameter. Moreover, we determine the interaction terms between the Higgs and the Nambu-Goldstone field. This study paves the way for a more reliable study of various dissipative processes in rotating compact stars with a quark matter core in the color flavor locked phase.

21 pages, 10 figures, minor corrections, references added, almost matches published version

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• A low energy theory for superfluid and solid matter and its application to the neutron star crust
• The Nambu sum rule and the relation between the masses of composite Higgs bosons
• BCS in the Sky: Signatures of Inflationary Fermion Condensation
• Standard Model as the topological material
• Bulk viscosity coefficients due to phonons and kaons in superfluid color-flavor locked quark matter
• Phonon contribution to the shear viscosity of a superfluid Fermi gas in the unitarity limit
• Nambu sum rule in the NJL models: from superfluidity to top quark condensation
• Treating divergence in quark matter by using energy projectors
• Topological Susceptibility in the Superconductive Phases of Quantum Chromodynamics: a Dyson-Schwinger Perspective
• Momentum space topology of QCD