1204.1412 (Keitaro Nagata et al.)

Towards extremely dense matter on the lattice    [PDF]

Keitaro Nagata, Shinji Motoki, Yoshiyuki Nakagawa, Atsushi Nakamura, Takuya Saito

QCD is expected to have a rich phase structure. It is empirically known to be difficult to access low temperature and nonzero chemical potential $\mu$ regions in lattice QCD simulations. We address this issue in a lattice QCD with the use of a dimensional reduction formula of the fermion determinant. We investigate spectral properties of a reduced matrix of the reduction formula. Lattice simulations with different lattice sizes show that the eigenvalues of the reduced matrix follow a scaling law for the temporal size $N_t$. The properties of the fermion determinant are examined using the reduction formula. We find that as a consequence of the $N_t$ scaling law, the fermion determinant becomes insensitive to $\mu$ as $T$ decreases, and $\mu$-independent at T=0 for $\muView original: http://arxiv.org/abs/1204.1412