Solitonic Charged Pion Crystal in Dense QCD – from a generalized Ginzburg-Landau approach –
1 Research and Education Center for Natural Sciences, Keio University, Hiyoshi 4-1-1, Yokohama, Kanagawa 223-8521, Japan
2 Academic Support Center, Kogakuin University, 2665-1 Nakano, Hachioji, Tokyo 192-0015, Japan
a e-mail: firstname.lastname@example.org
Published online: 24 November 2014
We present a systematic study of the phase structure of QCD near the critical point within a general Ginzburg-Landau framework. In particular, we are interested in clarifying the effects of isospin mismatch on the critical point and inhomogeneous phases expected to show up in its neighborhood. To this end, we first derive the generalized Ginzburg-Landau potential expanded up to the sixth order in the order parameter, derivative and the isospin chemical potential. We then show that, going down in density from high density quark matter, the system might go through a particular kind of inhomogeneous charged pion crystal phase before forming a soliton lattice of chiral condensate.
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