RT Journal Article T1 Shear viscosity in a CFL quark star A1 Manuel, Cristina A1 Dobado González, Antonio A1 Llanes Estrada, Felipe José AB We compute the mean free path and shear viscosity in the color-flavor locked (CFL) phase of dense quark matter at low temperature T, when the contributions of mesons, quarks and gluons to the transport coefficients are Boltzmann suppressed. CFL quark matter displays superfluid properties, and transport phenomena in such cold regime are dominated by phonon-phonon scattering. We study superfluid phonons within thermal field theory and compute the mean free path associated to their most relevant collision processes. Small-angle processes turn out to be more efficient in slowing transport phenomena in the CFL matter, while the mean free path relevant for the shear viscosity is less sensitive to collinear scattering due to the presence of zero modes in the Boltzmann equation. In analogy with superfluid He-4, we find the same T power law for the superfluid phonon damping rate and mean free path. Our results are relevant for the study of rotational properties of compact stars, and correct wrong estimates existing in the literature. PB Int School Advanced Studies SN 1126-6708 YR 2005 FD 2005-09 LK https://hdl.handle.net/20.500.14352/50732 UL https://hdl.handle.net/20.500.14352/50732 LA eng NO © SISSA 2005We thank D.T. Son, R. Pisarski and L. Yaffe for very useful discussions. C.M. thanks the I.N.T. at the University of Washington for its hospitality and partial support during the completion of this article. This work has been supported by grants FPA 2000-0956, BFM 2002-01003, FPA2001-3031 from MCYT (Spain) NO MCYT (Spain) DS Docta Complutense RD 7 abr 2025