Acceleration of the Arnoldi method and real eigenvalues of the non-Hermitian Wilson-Dirac operator

DOI10.1016/j.cpc.2011.10.007zbMath1268.65147arXiv1104.1363OpenAlexW2063847084MaRDI QIDQ2375389

Jaïr Wuilloud, Georg Bergner

Publication date: 14 June 2013

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

Full work available at URL: https://arxiv.org/abs/1104.1363

zbMATH Keywords

numerical examplessuper Yang-Mills theorylattice QCDArnoldi algorithmPfaffianfermion determinantquantum chromodynamics (QCD)Wilson-Dirac operator eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Yang-Mills and other gauge theories in quantum field theory (81T13) Strong interaction, including quantum chromodynamics (81V05) PDEs in connection with quantum mechanics (35Q40) Computational methods for problems pertaining to quantum theory (81-08) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

The light bound states of supersymmetric \(\mathrm{SU}(2)\) Yang-Mills theory ⋮ Variational analysis of low-lying states in supersymmetric Yang-Mills theory ⋮ The light bound states of \( \mathcal{N}=1 \) supersymmetric SU(3) Yang-Mills theory on the lattice ⋮ Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory ⋮ Scale setting for large-\(N\) SUSY Yang-Mills on the lattice

Cites Work

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• Remnant index theorem and low-lying eigenmodes for twisted mass fermions
• Complete spectra of the Dirac operator and their relation to confinement
• Arnoldi-Faber method for large non Hermitian eigenvalue problems
• Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice
• SUPERSYMMETRIC YANG–MILLS THEORY ON THE LATTICE
• Convergence of Polynomial Restart Krylov Methods for Eigenvalue Computations

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