Lattice Quantum Chromodynamics

Practical Essentials

Häftad, Engelska, 2016

AvFrancesco Knechtli,Michael Günther,Michael Peardon,Michael Gunther

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This book provides an overview of the techniques central to lattice quantum chromodynamics, including modern developments. The second chapter introduces Monte Carlo methods and details the numerical algorithms to simulate lattice gauge fields.

Produktinformation

Utgivningsdatum2016-11-02
Mått155 x 235 x 15 mm
Vikt242 g
FormatHäftad
SpråkEngelska
SerieSpringerBriefs in Physics
Antal sidor140
Upplaga16001
FörlagSpringer
ISBN9789402409970

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Matematisk fysik inom Naturvetenskap och teknik
Fysik inom Naturvetenskap och teknik
Kvantfysik inom Naturvetenskap och teknik
Artificiell intelligens inom Data och it

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.