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Neutral Goldstone Modes of Color-Flavor Locked Phase in a Magnetic Field

Srimoyee Sen, University of Arizona
Tuesday, February 2, 2016 - 10:30am to 11:30am
PAT C-421

​I consider the phase diagram of QCD at very high baryon density and at zero
temperature in the presence of a strong magnetic field. The state of matter at
such high densities and low temperatures is believed to be a phase known as the
color-flavor locked phase which breaks color and electromagnetic gauge
invariance leaving a linear combination of them unbroken. Of the 9 quarks
(three flavors and three colors), five are neutral under this unbroken
generator and four are oppositely charged. In the presence of a magnetic field
corresponding to the unbroken generator however, the properties of the
condensate changes and a new phase known as the magnetic color flavor locked
(MCFL)phase is realized. This phase breaks some of the color-flavor symmetry of
the Lagrangian spontaneously, giving rise to 6 Goldstone modes, 5 of which are
pseudo Goldstone modes. These Goldstone modes are composed of excitations that
correspond to both neutral quarks and charged quarks. Hence it is natural to
expect that the propagators of these Goldstone modes get affected in the
presence of a magnetic field and their speed becomes considerably anisotropic.
Although this anisotropy is self-evident from symmetry arguments, it has not
been quantified yet. I calculate this anisotropy in the speed of the Goldstone
modes using an NJL model type of interaction between the quarks and comment on
the impact of such anisotropic modes on the transport properties of the MCFL

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