Magnetic Color Flavor Locking Phase in High Density QCD

Physics – High Energy Physics – High Energy Physics - Phenomenology

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version to be published in PRL

Scientific paper

10.1103/PhysRevLett.95.152002

We investigate the effects of an external magnetic field in the gap structure of a color superconductor with three massless quark flavors. Using an effective theory with four-fermion interactions, inspired by one-gluon exchange, we show that the long-range component $\widetilde{B}$ of the external magnetic field that penetrates the color-flavor locked (CFL) phase modifies its gap structure, producing a new phase of lower symmetry. A main outcome of our study is that the $\widetilde{B}$ field tends to strengthen the gaps formed by $\widetilde{Q}$-charged and $\widetilde{Q}$-neutral quarks that coupled among themselves through tree-level vertices. These gaps are enhanced by the field-dependent density of states of the $\widetilde{Q}$-charged quarks on the Fermi surface. Our considerations are relevant for the study of highly magnetized compact stars.

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