Numerical Challenges in Lattice Quantum Chromodynamics: Joint Interdisciplinary Workshop of John von Neumann Institute for Computing, Jülich, and Institute of Applied Computer Science, Wuppertal University, August 1999 / Edition 1by Andreas Frommer
The book with contributions from the joint interdisciplinary workshop covers important numerical bottleneck problems from lattice quantum chromodynamics: 1) The computation of Green's functions from huge sparse linear systems and the determination of flavor-singlet observables by shastic estimates of matrix traces can both profit from novel preconditioning… See more details below
The book with contributions from the joint interdisciplinary workshop covers important numerical bottleneck problems from lattice quantum chromodynamics: 1) The computation of Green's functions from huge sparse linear systems and the determination of flavor-singlet observables by shastic estimates of matrix traces can both profit from novel preconditioning techniques and algebraic multi-level algorithms. 2) The exciting overlap fermion formulation requires the solution of linear systems including a matrix sign function, an extremely demanding numerical task that is tackled by Lanczos/projection methods. 3) Realistic simulations of QCD must include three light dynamical quark flavors with non-degenerate masses. Algorithms using polynomial approximations of the matrix determinant can deal with this situation. The volume aims at stimulating synergism and creating new links between lattice quantum and numerical analysis.
- Springer Berlin Heidelberg
- Publication date:
- Lecture Notes in Computational Science and Engineering Series, #15
- Edition description:
- Softcover reprint of the original 1st ed. 2000
- Product dimensions:
- 9.21(w) x 6.14(h) x 0.43(d)
Table of Contents
Overlap Fermions and Matrix Functions.- The Overlap Dirac Operator.- Solution of f (A)x = bwith Projection Methods for the Matrix A.- A Numerical Treatment of Neuberger’s Lattice Dirac Operator.- Fast Methods for Computing the Neuberger Operator.- Light Quarks, Lanczos and Multigrid Techniques.- On Lanczos-Type Methods for Wilson Fermions.- An Algebraic Multilevel Preconditioner for Symmetric Positive Definiteand Indefinite Problems.- On Algebraic Multilevel Preconditioning.- On Algebraic Multilevel Preconditioners in Lattice Gauge Theory.- Flavor Singlet Operators and Matrix Functionals.- Shastic Estimator Techniques for Disconnected Diagrams.- Noise Methods for Flavor Singlet Quantities.- Novel Numerical Techniques for Full QCD.- A Noisy Monte Carlo Algorithm with Fermion Determinant.- Least-Squares Optimized Polynomials for Fermion Simulations.- One-Flavour Hybrid Monte Carlo with Wilson Fermions.
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