Towards extremely dense matter on the lattice | Zendy

K. Nagata | Zendy; S. Motoki | Zendy; Yoshiyuki Nakagawa | Zendy; Atsushi Nakamura | Zendy; Takuya Saito | Zendy

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Towards extremely dense matter on the lattice

Author(s) -

K. Nagata,

S. Motoki,

Yoshiyuki Nakagawa,

Atsushi Nakamura,

Takuya Saito

Publication year - 2012

Publication title -

progress of theoretical and experimental physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.887

H-Index - 53

ISSN - 2050-3911

DOI - 10.1093/ptep/pts003

Subject(s) - physics , quantum chromodynamics , fermion , lattice qcd , quark , lattice field theory , quark–gluon plasma , lattice gauge theory , lattice (music) , gluon , particle physics , scaling , mathematical physics , random matrix , quantum mechanics , eigenvalues and eigenvectors , gauge theory , geometry , mathematics , acoustics

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 $\mu

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