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000777630 019__ $$a966553542
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000777630 0247_ $$a10.1007/978-94-024-0999-4$$2doi
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000777630 050_4 $$aQC793.3.F5
000777630 08204 $$a530.14$$223
000777630 1001_ $$aKnechtli, Francesco,$$eauthor.
000777630 24510 $$aLattice quantum chromodynamics :$$bpractical essentials /$$cFrancesco Knechtli, Michael Günther, Michael Peardon.
000777630 264_1 $$aDordrecht, Netherlands :$$bSpringer,$$c[2016].
000777630 264_4 $$c©2017
000777630 300__ $$a1 online resource (xiii, 140 pages) :$$billustrations.
000777630 336__ $$atext$$btxt$$2rdacontent
000777630 337__ $$acomputer$$bc$$2rdamedia
000777630 338__ $$aonline resource$$bcr$$2rdacarrier
000777630 4901_ $$aSpringerBriefs in physics,$$x2191-5423
000777630 504__ $$aIncludes bibliographical references.
000777630 5050_ $$aPreface; Acknowledgements; Contents; 1 Quantum Field Theory (QFT) on the Lattice; 1.1 A Brief History of Quarks and Gluons ; 1.2 Classical Fields and Gauge Invariance ; 1.3 Hamiltonian and Path Integral Formulations of Quantum Mechanics ; 1.3.1 One Bosonic Oscillator ; 1.3.2 One Fermionic Oscillator ; 1.4 Quantum Fields on a Lattice ; 1.4.1 From One Oscillator to a Field ; 1.4.2 Correlation Functions ; 1.4.3 Analytic Continuation to Minkowski Space; 1.4.4 Gauge Invariance on the Lattice ; 1.4.5 The Wilson Gauge Action; 1.4.6 Strong Coupling Expansions; 1.4.7 The Wilson Fermion Action
000777630 5058_ $$a1.4.8 Chiral Symmetry and the Nielsen -- Ninomiya No-Go Theorem1.4.9 Other Fermion Formulations; 1.5 Recovering Continuum QCD ; 1.5.1 Classical Continuum Limit; 1.5.2 Renormalisation Group Equation; 1.5.3 Isospin Symmetry and Ward Identities; 1.5.4 Improvement of the Continuum Limit; 1.5.5 Improvement of Wilson Fermions ; 1.5.6 Twisted Mass Fermions; 1.6 Further Reading; References; 2 Monte Carlo Methods; 2.1 Markov Chain Monte Carlo; 2.2 Sampling Yang -- Mills Gauge Fields; 2.2.1 Random Numbers and the Rejection Method ; 2.2.2 Heatbath Algorithms; 2.2.3 Overrelaxation Algorithms
000777630 5058_ $$a2.3 Hybrid Monte Carlo2.3.1 Detailed Balance Condition; 2.3.2 Hamilton's Equation of Motion; 2.4 Symplectic Integration Schemes; 2.5 Summary and Further Reading; References; 3 Handling Fermions on the Lattice; 3.1 Wick Contractions; 3.2 Sparse Linear Algebra; 3.2.1 Krylov Subspace Techniques; 3.2.2 Iterative Solvers for Linear Systems; 3.2.3 Algebraic Multigrid Methods; 3.2.4 Other Uses of Krylov Subspaces; 3.3 Fermion Determinant; 3.3.1 Pseudofermions; 3.3.2 Factorisations; 3.4 HMC with Fermions Revisited ; 3.4.1 Equations of Motion; 3.4.2 Multi-rate Integration Schemes
000777630 5058_ $$a3.4.3 A Single Dynamical Quark Flavour: The RHMC Algorithm3.5 The Quark Propagator from a Point Source ; 3.5.1 Quark Observables from a Single Point Source; 3.5.2 Reducing Variance in Point Propagator Calculations; 3.6 All-to-All Quark Propagators; 3.6.1 Stochastic Estimators; 3.6.2 Exploiting Low Eigenmodes of the Dirac Operator; 3.7 Summary and Further Reading; References; 4 Calculating Observables of Quantum Fields; 4.1 Symmetry Properties of Creation and Annihilation Operators; 4.1.1 Gauge-Invariant Observables; 4.1.2 Charge Conjugation, Isopin and Flavour Symmetry; 4.1.3 Spin and Parity
000777630 5058_ $$a4.1.4 Translation Invariance and Momentum4.1.5 Reducing Representations of Symmetries; 4.2 Techniques for Hadron Spectroscopy; 4.2.1 Variational Methods; 4.2.2 Scale Setting; 4.2.3 The Wilson Flow; 4.2.4 Scattering and the Lüscher Method; 4.3 Gluons, Wilson Loops and Glueballs; 4.3.1 Gauge Smearing; 4.3.2 Glueballs; 4.3.3 The Static Potential and Strong Coupling Constant; 4.3.4 Topological Charge; 4.4 Quarks and Hadron Physics; 4.4.1 Quark Smearing; 4.4.2 Hadron Physics with Quarks; 4.4.3 Hadron Scattering in Lattice Monte Carlo Calculations
000777630 506__ $$aAccess limited to authorized users.
000777630 520__ $$aThis 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.
000777630 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 27, 2016).
000777630 650_0 $$aLattice field theory.
000777630 650_0 $$aQuantum chromodynamics.
000777630 7001_ $$aGünther, Michael$$c(Mathematician),$$eauthor.
000777630 7001_ $$aPeardon, Michael,$$eauthor.
000777630 830_0 $$aSpringerBriefs in physics.
000777630 852__ $$bebk
000777630 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-94-024-0999-4$$zOnline Access$$91397441.1
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