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Lattice quantum chromodynamicspracti...

Gunther, Michael.

Lattice quantum chromodynamicspractical essentials /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Lattice quantum chromodynamicsby Francesco Knechtli, Michael Gunther, Michael Peardon.
Reminder of title:	practical essentials /
Author:	Knechtli, Francesco.
other author:	Gunther, Michael.
Published:	Dordrecht :Springer Netherlands :2017.
Description:	xiii, 140 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Lattice field theory.
Online resource:	http://dx.doi.org/10.1007/978-94-024-0999-4
ISBN:	9789402409994$q(electronic bk.)

Lattice quantum chromodynamicspractical essentials /
Knechtli, Francesco.

Lattice quantum chromodynamicspractical essentials /[electronic resource] :by Francesco Knechtli, Michael Gunther, Michael Peardon. - Dordrecht :Springer Netherlands :2017. - xiii, 140 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in physics,2191-5423. - SpringerBriefs in physics..

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.

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.

ISBN: 9789402409994$q(electronic bk.)

Standard No.: 10.1007/978-94-024-0999-4doiSubjects--Topical Terms:

278273
Lattice field theory.

LC Class. No.: QC793.3.F5

Dewey Class. No.: 530.14

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505 0 $a 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.
520 $a 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.
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