Low temperature limit of lattice QCD

Abstract

We study the low temperature limit of lattice QCD by using a reduction formula for a fermion determinant. The reduction formula, which is useful in finite density lattice QCD simulations, contains a reduced matrix defined as the product of $N_t$ block-matrices. It is shown that eigenvalues of the reduced matrix follows a scaling law with regard to the temporal lattice size $N_t$. The $N_t$ scaling law leads to two types of expressions of the fermion determinant in the low temperature limit; one is for small quark chemical potentials, and the other is for larger quark chemical potentials.

7 pages, 4figures. Proceedings of The 30 International Symposium on Lattice Field Theory, June 24-29, 2012, Cairns, Australia

References in corpus (8)

• Functional integrals for QCD at nonzero chemical potential and zero density
• Equation of State and Heavy-Quark Free Energy at Finite Temperature and Density in Two Flavor Lattice QCD with Wilson Quark Action
• Imaginary Chemical Potential Approach for the Pseudo-Critical Line in the QCD Phase Diagram with Clover-Improved Wilson Fermions
• Wilson Fermion Determinant in Lattice QCD
• A simplified test of universality in Lattice QCD
• A dimensionally reduced expression for the QCD fermion determinant at finite temperature and chemical potential
• Towards extremely dense matter on the lattice
• On early onset of quark number density at zero temperature

Cited by in corpus (1)

• A filtering technique for the temporally reduced matrix of the Wilson fermion determinant