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Multi-dimensional structure of crystalline chiral condensates in quark matter

Lee, T.-G.*; Nishiyama, Kazuya*; Yasutake, Nobutoshi*; Maruyama, Toshiki  ; Tatsumi, Toshitaka*

We explore the multi-dimensional structure of inhomogeneous chiral condensates in quark matter. For a one-dimensional structure, the system becomes unstable at finite temperature due to the Nambu-Goldstone excitations. However, inhomogeneous chiral condensates with multi-dimensional modulations may be realized as a true long-range order at any temperature, as inferred from the Landau Peierls theorem. We here present some possible strategies for searching the multi-dimensional structure of chiral crystals.

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