Speaker
Prof.
Toshitaka Tatsumi
(Department of Physics, Kyoto University)
Description
One of the interesting subjects may be a possible appearance of inhomogeneous chiral phases on the QCD phase diagram and their implications on high-energy heavy-ion collisions or compact stars [1,2]. Here we discuss their properties in a strong magnetic field. Theoretically the effect of the magnetic field causes interesting phenomena such as an enhancement of spontaneously symmetry braking (SSB) [3,4]. So it should be interesting to consider how the magnetic effect works for inhomogeneous chiral phases.
Here we consider the dual-chiral-density-wave (DCDW) within the NJL model [1].
We shall see that lowest Landau level (LLL) of the quark energy spectrum plays a peculiar role in this context: (1) the energy spectrum of LLL exhibits a spectral asymmetry, so that the Atiyah-Patodi-Singer etainvariant becomes finite [5]. This is a manifestation of the chiral anomaly in 1+1 dimensional theory
in the presence of the magnetic field. Physically the anomalous baryon density is associated with the condensates and the inhomogeneous chiral phase is remarkably extended in the QCD phase diagram. (2) effective dimensional reduction proceeds as magnetic field increases, and DCDW becomes to be realized as the lowest-energy state in sufficiently large magnetic field, as in the case of 1+1 dimensional case [6].
Some implications on magnetars are briefly discussed.
[1] T. Tatsumi and E. Nakano, [hep-ph/0408294].
E. Nakano and T. Tatsumi, Phys. Rev. D71 (2005) 114006.
[2] D. Nickel, Phys.Rev.Lett. 103 (2009) 072301; Phys. Rev. D80 (2009) 074025.
[3] H.Suganuma and T. Tatsumi, Ann.Phys. 208 (1991) 470.
[4] V.P. Gushynin, V.A. Milansky, I.A. Shovkovy, Nucl. Phys.B462 (1996) 249.
[5] A.J. Niemi and G.W. Semenoff, Phys. Reports 3 (1986) 99.
[6] G.Basar and G.V. Dunne Phys.Rev. D78 (2008) 065002
Primary author
Prof.
Toshitaka Tatsumi
(Department of Physics, Kyoto University)
