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Lattice Quantum Chromodynamics
Practical Essentials
Taschenbuch von Francesco Knechtli (u. a.)
Sprache: Englisch

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Beschreibung
This book provides an overview of the techniques central to lattice quantum chromodynamics, including modern developments.
The book has four chapters. The first chapter explains the formulation of quarks and gluons on a Euclidean lattice. The second chapter introduces Monte Carlo methods and details the numerical algorithms to simulate lattice gauge fields. Chapter three explains the mathematical and numerical techniques needed to study quark fields and the computation of quark propagators. The fourth chapter is devoted to the physical observables constructed from lattice fields and explains how to measure them in simulations. The book is aimed at enabling graduate students who are new to the field to carry out explicitly the first steps and prepare them for research in lattice QCD.
This book provides an overview of the techniques central to lattice quantum chromodynamics, including modern developments.
The book has four chapters. The first chapter explains the formulation of quarks and gluons on a Euclidean lattice. The second chapter introduces Monte Carlo methods and details the numerical algorithms to simulate lattice gauge fields. Chapter three explains the mathematical and numerical techniques needed to study quark fields and the computation of quark propagators. The fourth chapter is devoted to the physical observables constructed from lattice fields and explains how to measure them in simulations. The book is aimed at enabling graduate students who are new to the field to carry out explicitly the first steps and prepare them for research in lattice QCD.
Zusammenfassung

Provides the essentials to be able to give independent contributions to the field of lattice gauge theory

Defines a "common language" between physicists, mathematicians and computer scientists

Includes supplementary material: [...]

Inhaltsverzeichnis
Quantum Field Theory (QFT) on the Lattice.- A brief history of quarks and gluons.- Classical fields and gauge invariance.- Hamiltonian and path integral formulations of quantum mechanics.- Quantum fields on a lattice.- Recovering continuum QCD.- Further reading.- Monte Carlo methods.- Markov chain Monte Carlo.- Sampling Yang-Mills gauge fields.- Hybrid Monte Carlo.- Symplectic integration schemes.- Summary and Further reading.- Handling fermions on the lattice.- Wick contractions.- Sparse Linear Algebra.- Fermion determinant.- HMC with fermions revisited.- The quark propagator from a point source.- All-to-all quark propagators.- Summary and Further reading.- Calculating observables of quantum fields.- Symmetry properties of creation and annihilation operators.- Techniques for hadron spectroscopy.- Gluons, Wilson Loops and glueballs.- Quarks and hadron physics.- Statistical data analysis.- Summary.- A Notational conventions.- A.1 SU(N) notation.- A.2 Fermions.- A.3 Probability spaces.-References.
Details
Erscheinungsjahr: 2016
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: SpringerBriefs in Physics
Inhalt: xiii
140 S.
11 s/w Illustr.
1 farbige Illustr.
140 p. 12 illus.
1 illus. in color.
ISBN-13: 9789402409970
ISBN-10: 9402409971
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Knechtli, Francesco
Peardon, Michael
Günther, Michael
Auflage: 1st ed. 2017
Hersteller: Springer Netherland
Springer Netherlands
SpringerBriefs in Physics
Maße: 235 x 155 x 9 mm
Von/Mit: Francesco Knechtli (u. a.)
Erscheinungsdatum: 02.11.2016
Gewicht: 0,248 kg
Artikel-ID: 107768923
Zusammenfassung

Provides the essentials to be able to give independent contributions to the field of lattice gauge theory

Defines a "common language" between physicists, mathematicians and computer scientists

Includes supplementary material: [...]

Inhaltsverzeichnis
Quantum Field Theory (QFT) on the Lattice.- A brief history of quarks and gluons.- Classical fields and gauge invariance.- Hamiltonian and path integral formulations of quantum mechanics.- Quantum fields on a lattice.- Recovering continuum QCD.- Further reading.- Monte Carlo methods.- Markov chain Monte Carlo.- Sampling Yang-Mills gauge fields.- Hybrid Monte Carlo.- Symplectic integration schemes.- Summary and Further reading.- Handling fermions on the lattice.- Wick contractions.- Sparse Linear Algebra.- Fermion determinant.- HMC with fermions revisited.- The quark propagator from a point source.- All-to-all quark propagators.- Summary and Further reading.- Calculating observables of quantum fields.- Symmetry properties of creation and annihilation operators.- Techniques for hadron spectroscopy.- Gluons, Wilson Loops and glueballs.- Quarks and hadron physics.- Statistical data analysis.- Summary.- A Notational conventions.- A.1 SU(N) notation.- A.2 Fermions.- A.3 Probability spaces.-References.
Details
Erscheinungsjahr: 2016
Fachbereich: Theoretische Physik
Genre: Physik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: SpringerBriefs in Physics
Inhalt: xiii
140 S.
11 s/w Illustr.
1 farbige Illustr.
140 p. 12 illus.
1 illus. in color.
ISBN-13: 9789402409970
ISBN-10: 9402409971
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Knechtli, Francesco
Peardon, Michael
Günther, Michael
Auflage: 1st ed. 2017
Hersteller: Springer Netherland
Springer Netherlands
SpringerBriefs in Physics
Maße: 235 x 155 x 9 mm
Von/Mit: Francesco Knechtli (u. a.)
Erscheinungsdatum: 02.11.2016
Gewicht: 0,248 kg
Artikel-ID: 107768923
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