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

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Artan Boriši, Andreas Frommer, Bßlint Joˇ, Anthony Kennedy, Brian Pendleton
Springer Science & Business Media, Mar 30, 2006 - Mathematics - 201 pages
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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.
 

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Contents

An Introduction to Lattice Chiral Fermions
3
G Arnold P I Davies
15
Peardon J van den Eshof
24
Computational Methods for the Fermion Determinant
25
Monte Carlo Simulations of Lattice
40
Determinant and Order Statistics
57
Improved Staggered Fermions
74
EH9 3JZ United Kingdom I T Drummond
83
The Nucleon Mass in Chiral Effective Field Theory
112
Iterative Linear System Solvers with Approximate
133
School of Mathematics University of dleinwebphysics adelaide edu
142
Edinburgh James Clerk Maxwell
143
II
153
N Cundy
167
Fast Evaluation of Zolotarev Coefficients
168
The Overlap Dirac Operator as a Continued Fraction
191

A Frommer S Krieg
84
Reversibility and Instabilities in Hybrid Monte Carlo
90

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