Simulation of Lattice QCD with Domain-Wall Fermions

Abstract

Quantum Chromodynamics (QCD) is the fundamental theory for the interaction between quarks and gluons. It manifests as the short-range strong interaction inside the nucleus, and plays an important role in the evolution of the early universe, from the quark-gluon phase to the hadron phase. To solve QCD is a grand challenge, since it requires very large-scale numerical simulations of the discretized action of QCD on the 4-dimensional space-time lattice. Moreover, since quarks are relativistic fermions, the 5-th dimension is introduced such that massless quarks with exact chiral symmetry can be realized at finite lattice spacing, on the boundaries of the 5-th dimension, the so-called domain-wall fermion (DWF). In this talk, I discuss how to simulate lattice QCD with DWF such that the chiral symmetry can be preserved optimally with a finite extent in the 5-th dimension. I also outline the simulations which have been performing by the TWQCD Collaboration and present some recent physical results.

13 pages, Invited talk at the IUPAP Conference on Computational Physics (IUPAP-CCP2012), October 14-18, 2012, Kobe, Japan

References in corpus (6)

• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Lattice gauge action suppressing near-zero modes of H_W
• Localization and chiral symmetry in 2+1 flavor domain wall QCD
• Topological Susceptibility in Two Flavors Lattice QCD with the Optimal Domain-Wall Fermion
• Pseudoscalar Meson in Two Flavors QCD with the Optimal Domain-Wall Fermion
• Chiral Symmetry and the Residual Mass in Lattice QCD with the Optimal Domain-Wall Fermion

Cited by in corpus (6)

• Decay Constants of Pseudoscalar $D$-mesons in Lattice QCD with Domain-Wall Fermion
• Lattice QCD with $N_f=2+1+1$ domain-wall quarks
• Exact Pseudofermion Action for Monte Carlo Simulation of Domain-Wall Fermion
• Improved study of the $\beta$-function of $SU(3)$ gauge theory with $N_f=10$ massless domain-wall fermions
• New $N_f=2$ Pseudofermion Action for Monte-Carlo Simulation of Lattice Field Theory with Domain-Wall Fermions
• Mass Spectra of $D_s$ and ${\Omega }_c$ in Lattice QCD with $N_f=2+1+1$ Domain-Wall Quarks