1.

Record Nr.

UNINA9910739479203321

Autore

Knechtli Francesco

Titolo

Lattice Quantum Chromodynamics : Practical Essentials / / by Francesco Knechtli, Michael Günther, Michael Peardon

Pubbl/distr/stampa

Dordrecht : , : Springer Netherlands : , : Imprint : Springer, , 2017

ISBN

94-024-0999-8

Edizione

[1st ed. 2017.]

Descrizione fisica

1 online resource (XIII, 140 p. 12 illus., 1 illus. in color.)

Collana

SpringerBriefs in Physics, , 2191-5423

Disciplina

530.143

Soggetti

Quantum field theory

String models

Particles (Nuclear physics)

Artificial intelligence

Mathematical physics

Quantum Field Theories, String Theory

Elementary Particles, Quantum Field Theory

Artificial Intelligence

Mathematical Physics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references at the end of each chapters.

Nota di contenuto

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.

Sommario/riassunto

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.