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Numerical Challenges in Lattice Quantum Chromodynamics : Joint Interdisciplinary Workshop of John Von Neumann Institute for Computing, Julich, and Institute of Applied Computer Science, Wuppertal University, August 1999 - Andreas Frommer

Numerical Challenges in Lattice Quantum Chromodynamics

Joint Interdisciplinary Workshop of John Von Neumann Institute for Computing, Julich, and Institute of Applied Computer Science, Wuppertal University, August 1999

By: Andreas Frommer (Editor), Thomas K. Lippert (Editor), Bjoern Medeke (Editor), Klaus Schilling (Editor)

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Published: 27th September 2000
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Lattice gauge theory is a fairly young research area in Theoretical Particle Physics. It is of great promise as it offers the framework for an ab-initio treatment of the nonperturbative features of strong interactions. Ever since its adolescence the simulation of quantum chromodynamics has attracted the interest of numerical analysts and there is growing interdisciplinary engageĀ­ ment between theoretical physicists and applied mathematicians to meet the grand challenges of this approach. This volume contains contributions of the interdisciplinary workshop "NuĀ­ merical Challenges in Lattice Quantum Chromo dynamics" that the Institute of Applied Computer Science (IAI) at Wuppertal University together with the Von-Neumann-Institute-for-Computing (NIC) organized in August 1999. The purpose of the workshop was to offer a platform for the exchange of key ideas between lattice QCD and numerical analysis communities. In this spirit leading experts from both fields have put emphasis to transcend the barriers between the disciplines. The meetings was focused on the following numerical bottleneck problems: A standard topic from the infancy of lattice QCD is the computation of Green's functions, the inverse of the Dirac operator. One has to solve huge sparse linear systems in the limit of small quark masses, corresponding to high condition numbers of the Dirac matrix. Closely related is the determination of flavor-singlet observables which came into focus during the last years.

Overlap Fermions and Matrix Functions
The Overlap Dirac Operatorp. 1
Solution of f(A)x = b with Projection Methods for the Matrix A: p. 18
A Numerical Treatment of Neuberger's Lattice Dirac Operatorp. 29
Fast Methods for Computing the Neuberger Operatorp. 40
Light Quarks, Lanczos and Multigrid Techniques
On Lanczos-Type Methods for Wilson Fermionsp. 48
An Algebraic Multilevel Preconditioner for Symmetric Positive De nite and Inde nite Problems: p. 66
On Algebraic Multilevel Preconditioningp. 84
On Algebraic Multilevel Preconditioners in Lattice Gauge Theoryp. 99
Flavor Singlet Operators and Matrix Functionals
Stochastic Estimator Techniques for Disconnected Diagramsp. 115
Noise Methods for Flavor Singlet Quantitiesp. 127
Novel Numerical Techniques for Full QCD
A Noisy Monte Carlo Algorithm with Fermion Determinantp. 142
Least-Squares Optimized Polynomials for Fermion Simulationsp. 153
One-Flavour Hybrid Monte Carlo with Wilson Fermionsp. 166
Author Indexp. 177
Subject Indexp. 178
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540677321
ISBN-10: 3540677321
Series: Lecture Notes in Computational Science and Engineering,
Audience: General
Format: Paperback
Language: English
Number Of Pages: 188
Published: 27th September 2000
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 1.09
Weight (kg): 0.29