Numerical techniques for lattice QCD in the \(\epsilon \)-regime

DOI10.1016/S0010-4655(02)00874-3zbMath1196.81022arXivhep-lat/0212012OpenAlexW1528965257MaRDI QIDQ709406

Ch. Hoelbling, Martin Lüscher, Leonardo Giusti, Hartmut Wittig

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-lat/0212012

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to quantum theory (81-04)

Related Items (15)

Variance reduction with practical all-to-all lattice propagators ⋮ Numerical methods for the QCD overlap operator IV: Hybrid Monte Carlo ⋮ A numerical method to compute derivatives of functions of large complex matrices and its application to the overlap Dirac operator at finite chemical potential ⋮ Portable CPU implementation of Wilson, Brillouin and Susskind fermions in lattice QCD ⋮ Low-energy couplings of QCD from topological zero-mode wave functions ⋮ Low-lying Dirac eigenmodes and monopoles in 4D compact QED ⋮ Test of the Schrödinger functional with chiral fermions in the Gross-Neveu model ⋮ Perturbative analysis of the Neuberger-Dirac operator in the Schrödinger functional ⋮ Monopole and instanton effects in QCD ⋮ Universality of the topological susceptibility in the SU(3) gauge theory ⋮ Solution of the Dirac equation in lattice QCD using a domain decomposition method ⋮ Relaxation strategies for nested Krylov methods ⋮ On topological properties of vacuum defects in lattice Yang-Mills theories ⋮ Eigenvalue spectrum and scaling dimension of lattice \(\mathcal{N} = 4\) supersymmetric Yang-Mills ⋮ Multigrid preconditioning for the overlap operator in lattice QCD

Cites Work

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• An accelerated conjugate gradient algorithm to compute low-lying eigenvalues -- a study for the Dirac operator in SU(2) lattice QCD
• The microscopic spectral density of the QCD Dirac operator
• Locality properties of Neuberger's lattice Dirac operator
• Lattice QCD on PCs?
• The microscopic Dirac operator spectrum
• Numerical methods for the QCDd overlap operator. I: Sign-function and error bounds
• Approximate Ginsparg-Wilson fermions: a first test
• Convergence rate and locality of improved overlap fermions
• Finite-size scaling of vector and axial current correlators
• MINIMIZING STORAGE IN IMPLEMENTATIONS OF THE OVERLAP LATTICE-DIRAC OPERATOR
• Finite-size scaling of meson propagators

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