E-Book, Englisch, 201 Seiten
Bori~i / Frommer / Joó QCD and Numerical Analysis III
1. Auflage 2005
ISBN: 978-3-540-28504-5
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
Proceedings of the Third International Workshop on Numerical Analysis and Lattice QCD, Edinburgh, June-July 2003
E-Book, Englisch, 201 Seiten
ISBN: 978-3-540-28504-5
Verlag: Springer-Verlag
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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.
Autoren/Hrsg.
Weitere Infos & Material
1;Preface;5
2;Contents;8
3;List of Contributors;10
4;Surveys;13
4.1;An Introduction to Lattice Chiral Fermions;14
4.2;Computing f(A) b for Matrix Functions f;25
4.3;Computational Methods for the Fermion Determinant and the Link Between Overlap and Domain Wall Fermions;35
4.4;Monte Carlo Simulations of Lattice QCD;50
5;Lattice QCD;64
5.1;Determinant and Order Statistics;65
5.2;Monte Carlo Overrelaxation for SU(N) Gauge Theories;75
5.3;Improved Staggered Fermions;82
5.4;Perturbative Landau Gauge Mean Link Tadpole Improvement Factors;89
5.5;Reversibility and Instabilities in Hybrid Monte Carlo Simulations;96
5.6;A Finite Baryon Density Algorithm;105
5.7;The Nucleon Mass in Chiral Effective Field Theory;116
6;Computational Methods;124
6.1;A Modular Iterative Solver Package in a Categorical Language;125
6.2;Iterative Linear System Solvers with Approximate Matrix- vector Products;135
6.3;What Can Lattice QCD Theorists Learn from NMR Spectroscopists?;145
6.4;Numerical Methods for the QCD Overlap Operator: II. Optimal Krylov Subspace Methods;155
6.5;Fast Evaluation of Zolotarev Coefficients;170
6.6;The Overlap Dirac Operator as a Continued Fraction;191
7;Index;198
