1109.1615 (Hiroaki Abuki et al.)

Crystalline chiral condensates off the tricritical point in a
generalized Ginzburg-Landau approach    [PDF]

Hiroaki Abuki, Daisuke Ishibashi, Katsuhiko Suzuki

We present an extensive study on inhomogeneous chiral condensates in QCD at
finite density in the chiral limit using a generalized Ginzburg-Landau (GL)
approach. Performing analyses on higher harmonics of one-dimensionally (1D)
modulated condensates, we confirm numerically the previous claim that the
solitonic chiral condensate characterized by the Jacobi's elliptic function is
the most favorable structure in 1D modulations. We then investigate a
possibility of realization of several multidimensional modulations within the
same framework. We also study the phase structure far away from the tricritical
point by extending the GL functional expanded up to the 8-th order in the order
parameter and its spatial derivative. On the same basis, we explore a new
regime in the extended GL parameter space and find that the Lifshitz point is
the point where five critical lines meet at once. In particular, the existence
of an intriguing triple point is demonstrated, and its trajectory consists one
of those critical lines.

View original: http://arxiv.org/abs/1109.1615