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 / Andreas Frommer ... [y tres más] (editores).

Contributor(s): Frommer, Andreas [editor] | Lippert, Thomas [editor] | Medeke, Björn [editor] | Schilling, Klaus [editor]Material type: TextTextLanguage: English Series: Lecture notes in computational science and engineering ; 15Copyright date: Berlin ; New York : Springer, 2000Edition: First EditionDescription: viii, 184 pages : illustrations ; 24 cmISBN: 9783540677321Subject(s): Lattice gauge theories -- Mathematical models -- Congresses | Teorías del calibre de celosía -- Modelos matemáticos -- Congresos | Quantum chromodynamics -- Mathematical models -- Congresses | La cromodinámica cuántica -- Modelos matemáticos -- CongresosDDC classification: 539.7548015118 LOC classification: QC793.3.G38 | N86 2000Online resources: Publisher description
Partial contents:
The Overlap Dirac Operator -- Solution of f(A)x = b with Projection Methods for the Matrix A -- A Numerical Treatment of Neuberger’s Lattice Dirac Operator -- Fast Methods for Computing the Neuberger Operator -- On Lanczos-Type Methods for Wilson Fermions -- An Algebraic Multilevel Preconditioner for Symmetric Positive Definite and Indefinite Problems -- On Algebraic Multilevel Preconditioning -- On Algebraic Multilevel Preconditioners in Lattice Gauge Theory -- Stochastic Estimator Techniques for Disconnected Diagrams -- Noise Methods for Flavor Singlet Quantities -- A Noisy Monte Carlo Algorithm with Fermion Determinant -- Least-Squares Optimized Polynomials for Fermion Simulations -- One-Flavour Hybrid Monte Carlo with Wilson Fermions.
Abstract: 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 engage­ ment between theoretical physicists and applied mathematicians to meet the grand challenges of this approach.
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Libro académico Libro académico Biblioteca del Campus
539.7548015118 N9715 2000 (Browse shelf (Opens below)) Ej. 1 Available 002258
Libro académico Libro académico Biblioteca del Campus
539.7548015118 N9715 2000 (Browse shelf (Opens below)) Ej. 2 Available 002259
Libro académico Libro académico Biblioteca del Campus
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Includes bibliographical references.

The Overlap Dirac Operator -- Solution of f(A)x = b with Projection Methods for the Matrix A -- A Numerical Treatment of Neuberger’s Lattice Dirac Operator -- Fast Methods for Computing the Neuberger Operator -- On Lanczos-Type Methods for Wilson Fermions -- An Algebraic Multilevel Preconditioner for Symmetric Positive Definite and Indefinite Problems -- On Algebraic Multilevel Preconditioning -- On Algebraic Multilevel Preconditioners in Lattice Gauge Theory -- Stochastic Estimator Techniques for Disconnected Diagrams -- Noise Methods for Flavor Singlet Quantities -- A Noisy Monte Carlo Algorithm with Fermion Determinant -- Least-Squares Optimized Polynomials for Fermion Simulations -- One-Flavour Hybrid Monte Carlo with Wilson Fermions.

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 engage­ ment between theoretical physicists and applied mathematicians to meet the grand challenges of this approach.

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