Quarks and Compact Stars (QCS)
Oct. 20-22, 2014, KIAA at Peking University, Beijing - P. R. China


Invited Talk

Topological aspects of the inhomogeneous chiral phase and implications on compact star phenomena

Toshitaka Tatsumi

Department of Physics, Kyoto University, Kyoto 606-8502, Japan

Abstract: Appearance of inhomogeneous chiral (iChiral) phase is a new paradigm in the QCD phase diagram [1]. We discuss here some topological aspects of the iChiral phase in the presence of the magnetic field. Considering the dual chiral density wave (DCDW), we can see the spectral asymmetry (SA) of the relevant Dirac Hamiltonian provides us with anomalous quark number [2], which extends the iChiral phase in the density-temperature QCD phase diagram. It is shown that SA is closely related with chiral anomaly as in ref.[3]. Using the generalized Ginzburg-Landau expansion near the critical point, we can find a new Lifshitz point at $\mu=0$ due to chiral anomaly. Thus the transition to iChiral phase may be directly explored by the lattice QCD simulation [2]. We also discuss some relations to the magnetic properties of compact stars; e.g. DCDW gives rise to have spontaneous magnetization.

[1]E.Nakano and T.Tatsumi, Phys. Rev. D71, 114006 (2004). D.Nickel, Phys.Rev.Lett. 103, 072301 (2009); Phys. Rev. D80, 074025 (2009).
[2]T. Tatsumi, K. Nishiyama and S. Karasawa, arXiv:1312.0307; arXiv:1405.2155.
[3]D.T. Son and M.A.Stephanov, Phys. Rev. D77, 014021 (2008).