Two-flavor color superconductivity in magnetic field Quark matter at sufficiently high density and low temperature is expected to be a color superconductor, and may exist in the interior of neutron stars. The properties of two simplest possible color-superconducting phases, i.e., the color-flavor-locked (CFL) and two-flavor superconducting (2SC) phases, are reviewed. The effect of a magnetic field on the pairing dynamics in two-flavor color-superconducting dense quark matter is investigated. A universal form of the gap equation for an arbitrary magnetic field is derived in the weakly coupled regime of QCD at asymptotically high density, using the framework of Schwinger-Dyson equation in the improved rainbow approximation. The results for the gap in two limiting cases, weak and strong magnetic fields, are obtained and discussed. It is shown that the superconducting gap function in the weak magnetic field limit develops a directional dependence in momentum space. This property of the gap parameter is argued to be a consequence of a long-range interaction in QCD.autYu, LangthsShovkovy, Igor A.dgcLunardini, CeciliadgcSchmidt, KevindgcAlarcon, RicardodgcLebed, RichardpblArizona State UniversityengPartial requirement for: Ph.D., Arizona State University, 2012Includes bibliographical references (p. 47-56)Field of study: Physicsby Lang Yuhttps://hdl.handle.net/2286/R.I.1459300Doctoral DissertationAcademic thesesvi, 81 p. : col. ill113458502031630349306150570adminIn CopyrightAll Rights Reserved2012TextPhysicsColor SuperconductivityMagnetic FieldsSchwinger-Dyson equationQuantum ChromodynamicsSuperconductivitySchwinger action principleMagnetic Fields