QCD and Numerical Analysis III (eBook)

Proceedings of the Third International Workshop on Numerical Analysis and Lattice QCD, Edinburgh, June-July 2003

Artan Boriçi, Andreas Frommer, Bálint Joó, Anthony Kennedy, Brian Pendleton (Herausgeber)

eBook Download: PDF

2005
XIII, 201 Seiten
Springer Berlin (Verlag)
978-3-540-28504-5 (ISBN)

Infos

This book reports on progress in numerical methods for Lattice QCD with chiral fermions. It contains a set of pedagogical introductory articles written by experts from both the Applied Mathematics and Lattice Field Theory communities, together with detailed accounts of leading-edge algorithms for the simulation of overlap chiral fermions. Topics covered include: QCD simulations in the chiral regime, Evaluation and approximation of matrix functions, Krylov subspace methods for the iterative solution of linear systems, Eigenvalue solvers. These are complemented by a set of articles on closely related numerical and technical problems in Lattice field Theory.

Inhalt

Preface 5
Contents 8
List of Contributors 10
Surveys 13
An Introduction to Lattice Chiral Fermions 14
Computing f(A) b for Matrix Functions f 25
Computational Methods for the Fermion Determinant and the Link Between Overlap and Domain Wall Fermions 35
Monte Carlo Simulations of Lattice QCD 50
Lattice QCD 64
Determinant and Order Statistics 65
Monte Carlo Overrelaxation for SU(N) Gauge Theories 75
Improved Staggered Fermions 82
Perturbative Landau Gauge Mean Link Tadpole Improvement Factors 89
Reversibility and Instabilities in Hybrid Monte Carlo Simulations 96
A Finite Baryon Density Algorithm 105
The Nucleon Mass in Chiral Effective Field Theory 116
Computational Methods 124
A Modular Iterative Solver Package in a Categorical Language 125
Iterative Linear System Solvers with Approximate Matrix- vector Products 135
What Can Lattice QCD Theorists Learn from NMR Spectroscopists? 145
Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov Subspace Methods 155
Fast Evaluation of Zolotarev Coefficients 170
The Overlap Dirac Operator as a Continued Fraction 191
Index 198

Produkt-Details

• Erscheint lt. Verlag: 30.11.2005
• Reihe/Serie: Lecture Notes in Computational Science and Engineering
• Reihe/Serie: Lecture Notes in Computational Science and Engineering
• Zusatzinfo: XIII, 201 p. 29 illus.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• Themenwelt: Technik
• Schlagworte: Approximation • Chiral symmetry • Krylov spaces • lattice quantum chromodynamics • matrix functions on large and sparse matrices • Numerical analysis • overlap fermions
• ISBN-10: 3-540-28504-0 / 3540285040
• ISBN-13: 978-3-540-28504-5 / 9783540285045